Slope = -1, through point (-3,5)
Answers
The equation of the line having slope = -1 and passing through a point (-3, 5) is y = -x + 2 and graph is given below.
The general equation of a line is y = m × x + c, where m is the slope and c is the y-intercept of the line.
Given slope is equal to -1.
Therefore the equation of the required line is y = (-1) × x + c.
Given that this line passes through the point (-3, 5).
Therefore we have 5 = (-1) × (-3) + c
⇒ 5 = 3 + c
⇒ 5 - 3 = c
⇒ 2 = c
⇒ c = 2
Therefore the y-intercept of the required line in cartesian coordinate form is (0, 2).
Therefore the required equation of the line is y = (-1) × x + 2
⇒ y = -x + 2.
Refer to the attached image for the graph of this line.
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Disclaimer: The question is not incomplete.
Assuming the following as the complete question.
Find the equation of the line having slope = -1, through point (-3,5) and also draw the graph of the line.
Related Questions
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $54 and $82 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.) 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF. 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 58.2 HCF. 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 38.2 and 78.7 HCF. 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 58.9 and 78.7 HCF.
Answers
Using a linear function, we have that:
The inequality is: 54 ≤ C(x) ≤ 82.To stay within the range, the usage should be between 17.7 and 37.6 HCF.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For the cost function, we have that:
The fee of $29 is the intercept.The cost of $1.41 per HCF is the slope.Hence the function is:
C(x) = 29 + 1.41x.
The recommended monthly bill for a household is between $54 and $82 dollars per month, hence the inequality is given by:
54 ≤ C(x) ≤ 82.
The bounds of the range will be found as follows:
29 + 1.41x = 54
x = (54 - 29)/1.41
x = 17.7.
29 + 1.41x = 82
x = (82 - 29)/1.41
x = 37.6.
Hence the correct option is:
To stay within the range, the usage should be between 17.7 and 37.6 HCF.
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The difference of two rational numbers is an irrational number
Answers
The correct answer is false.
A rational number also includes the sum of two rational numbers.
An integer is the result of two integers.An integer is what separates two other integers.The following is the formula for subtracting two rational numbers:a/b-c/d=ad-bc/bd
Since a/b and c/d are integers, and we know that a, b, c, and d are all rational numbers. Since ad and bc are both integers under our rule, it follows that ad - bc is also an integer. As a result, our rule states that ad, bc, and bd are all integers. As a result, we know that ad - bc and bd are integers and that the difference between two rational numbers is a number of the type a/b-c/d=ad-bc/bd is the precise definition of a rational number, where ad - bc and bd are integers. Thus, we may conclude that a rational number is the difference between two rational numbers.
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In the circle below, AB is parallel to CD, AD is a diameter of the circle, and AD = 36.What is the length of AB? Express your answer in terms of pi.
Answers
We get the length of AB as 7.37 pi units
We are given that:
AB || CD
AD = 36 cm
AD is the diameter of the circle.
So, we get that
1 / 2 AD = Radius (r)
r = 36 / 2 cm = 18 cm
Now, we are also given that:
∠ BAD = 50°
Since AD is a diameter, we get that:
ABD will form a right triangle with ∠ ABD = 90°
∠ ADB = 40° ( Angle sum property)
AB will be:
sin (40) = AB / 36
AB = 36 * sin (40) = 23.140353948732
AB ≈ 7.37 pi units
Therefore, we get the length of AB as 7.37 pi units
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How many terms are in the expression a²-ab+8b+b²-1
Answers
Answer:
5
Step-by-step explanation:
we just have to see the units to determine the terms
the terms are, a², ab, b, b², 1 has no terms, but imagine it as [tex]x^{0}[/tex]
Mark me brainliest if it helped
Complete the proof.
Given: 8 - 3x / 4=32
Prove: x=-40
Proof:
Answers
The proof of the given algebra equation is; x = -40
How to solve algebra problems?
We are given the algebra equation as;
(8 - 3x)/4 = 32
Using multiplication property of equality, multiply both sides by 4to get;
8 - 3x = 128
Using subtraction property of equality, subtract 8 from both sides to get;
-3x = 120
Using division property of equality, divide both sides by -3 to get;
x = -40
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In sale time at a certain clothing store, all shoes are on sale for $8 less than 50% of the original price. Write a function g that finds 50% of x by first rewriting 50% as a fraction or a decimal.
Answers
well, we can say that the function will be y = (50% of "x") - 8.
wait a minute! what's the 50% of "x" anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{50\% of x}}{\left( \cfrac{50}{100} \right)x}\implies 0.5x~\hfill {\LARGE \begin{array}{llll} g=0.5x - 8 \end{array}}[/tex]
√2x³. √10x
Help please
Answers
You can write as [tex]2 \sqrt{5} {x}^{2}[/tex] or [tex]\boxed{2 {x}^{2} \sqrt{5}} [/tex]
Step-by-step explanation:
Find product of the groups,
[tex] \sqrt{2 {x}^{3} \: . \: 10x}[/tex]
Regrouping,
[tex] \sqrt{2{x}^{3 + 1} \: . \: 10 } [/tex]
Multiplying,
[tex] \sqrt{20 {x}^{3 + 1} } [/tex]
Add constants,
[tex] \sqrt{20 {x}^{4} } [/tex]
Rewrite 20 as 4 • 5,
[tex] \sqrt{4 \: . \: 5 {x}^{4} } [/tex]
Rewrite 4 as 2² ,
[tex] \sqrt{ {2}^{2} \: . \: 5 {x}^{4} } [/tex]
Using radical rules,
[tex] \sqrt{ {2}^{2} } \sqrt{x} \sqrt{5} [/tex]
Reduce root and power,
→ [tex] \underline {2 {x}^{2} \sqrt{5}} [/tex]
-18-7(-10+8)+12
explain please
Answers
Answer:
8.
Step-by-step explanation:
Using Order of operations PEMDAS.
Arithmetic operations are done in the following order:
Parentheses, Exponents, Multiply, Divide, Add, Subtract.
So, we have:
-18 - 7(-10 + 8) + 12
= -18 - 7 * -2 + 12
= -18 + 14 + 12
= -4 + 12
= 8.
A piggy bank is full of dimes and quarters. The total
value of the coins is $14.05. If there are a total of 100 coins,
how many of each does she have?
Dimes
Ay Quart
Mixture
1x *+9=312905
Answers
She has 27 quarters and 73 dimes.
Write a system of equations.
Let x be the number of quarters, and y be the number of dimes.
x+y=100
0.25x+0.10y=14.05
Solve by substitution:y=100−x
∴0.25x + 0.10(100 - x) = 14.05
0.25x+10−0.10x=14.05
0.15x+10=14.05
0.15x=4.05
x=27
Solve for y now:
y+27=100
y=100−27
y=73
Hence, She has 27 quarters and 73 dimes.
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.
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let tj denote the time that it took tejay van garteren to ride the jth stage of the tour de france in 2014. if there were a total of 21 stages, interpret ∑ j
Answers
As per question, let us assume [tex]t(j)[/tex] denotes the time that it took Tejay van garteren to ride the [tex]jth[/tex] stage of the tour de France in [tex]2014[/tex].
Now, let us assume [tex]t(1)[/tex] is the complete time for the first stage; [tex]t(2)[/tex] is the complete time for the second stage; [tex]t(3)[/tex] is the complete time for the third stage and so on.
Therefore, the total time of [tex]21[/tex] stages can be written as:
∑[tex]t(j)[/tex]= [tex]t(1)+t(2)+t(3)+..................+t(21)[/tex] [tex]; j=[1,2,3....21][/tex]
The above expression represents the total time for Tejay van garteren took to finish the ride.
Therefore, ∑[tex]t(j)[/tex] [tex]; j=[1,2,3....21][/tex] is the total time for Tejay van garteren took to finish the ride.
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a bag contains $10$ red marbles and $6$ blue marbles. three marbles are selected at random and without replacement. what is the probability that one marble is red and two are blue? express your answer as a common fraction.
Answers
15/56 is the probability that one marble is red and two are blue.
RBB, BRB, and BBR are the three possible ways to draw two blue marbles and one red marble. These are separate scenarios because there are no overlapping outcomes, and their sum is the overall likelihood that two of the three drawn cards will be blue. Therefore, the desired probability is
(10/16)(6/15)(5/14) + (6/16)(10/15)(5/14) + (6/16)(5/15)(10/14) = 15/56
What is probability?Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.
For instance, when we flip a coin, there are just two possible results: Head OR Tail (H, T). But if we throw two coins into the air, there are three possible outcomes: either both show heads, either show tails, or one shows heads and one tails, i.e. (H, H), (H, T), or none of the three (T, T).
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Please help only 14 mins left , I'll give you brainliest . I need at least two participants to give an answer
Answers
Answer:
There isnt any info about the question there isnt any numbers
Step-by-step explanation:
Answer:
Letting r be the rate of speed in hours, we have d = rh.
Find the line's slope and a point on the line.
y+3=3/4(x-1)
point on the line:
slope:
Answers
Answer: Coordinate (1,-3) and m = 3/4
Step-by-step explanation:
(i) - So context, the equation is y + 3 = 3/4(x - 1)
So how about the coordinate? Simple, using the formula of the point-slope form, which is in the first step, y1 and x1 is a coordinate on the graph, so based by pairs (x,y) - the pair is (1,-3).
-6(5y+7)-14y
pls dont have much time
Answers
consider the set of numbers $\{1, 10, 10^2, 10^3, \dots, 10^{10}\}$. the ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?
Answers
The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.
What is ratio?
A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).
The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.
Explanation:
The requested ratio is[tex]\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\][/tex]
Using the formula for a geometric series, we have[tex]\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\][/tex]
which is very close to [tex]$\dfrac{10^{10}}{9},$[/tex] so the ratio is very close to 9.
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dis me after 1 min in school
Answers
Answer:
What's the question?
Step-by-step explanation:
If m ∠ A D B = ( 6 x − 4 ) ° and m ∠ B D C = ( 4 x + 24 ) ° , find the value of x such that ∠ A D C is a right angle.
Answers
Answer:
The value of x is 7°
Step-by-step explanation:
<A C D = ∠ A D B ( 6 x − 4 ) ° +∠ B D C ( 4 x +24 )
Now,
<A D B + < B D C = 90 °
( Being sum of complementary angle is 90°)
( 6 x − 4 ) + (4x + 24)= 90°
6x-4+4x+24=90°
6x+4x-4+24=90°
10x+20=90°
10x=90-20
10x=70
x=70/10
x=7
Points A, B, and C are collinear. Point B is between A and C. Find the value of x. AC = 19 AB = 4x + 3 BC = 3x + 2
Answers
The value of x = 2.
Three points of collinear are A, B, and C. Here point B is between A and C.
The properties of collinear point are,
a>The slope of AB is equal to the slope of BC,
b>Line AB + BC = AC
c>The area is equal to 0.
As the three points are collinear, and from the second property we have
AB + BC= AC
Where, AB = 4x + 3
BC = 3x + 2
So we have,
(4x + 3) + (3x + 2) =19
7x + 5=19
7x = 14
x=2
Therefore we get the value of x =2.
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where u get the 230,000 number
Answers
Answer: 23 x 10,000
Step-by-step explanation:
23 multiplying with 10,000
you will get 230,000
Answer:
23 * 10000 or 23 * [tex]10^{4}[/tex]
Step-by-step explanation:
23 * 10000 or 23 * [tex]10^{4}[/tex]
Find cos tan csc sec and cot please.
Answers
Answer:
Hi, here are the remaining values in order.
-9/41-40/941/40-41/9-9/40need help with evaluating this Expression
Answers
Answer: 102
Step-by-step explanation:
[tex]x=-2\ \ \ \ \ y=4\\\\8x^2-xy+y^2-xy^2+14=\\\\8(-2)^2-(-2)(4)+(4)^2-(-2)(4)^2+14=\\\\8(-2)(-2)-(-8)+(4)(4)-(-2)(4)(4)+14=\\\\32+8+16+32+14=\\\\102[/tex]
identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures. m∠acd
Answers
It should be noted that angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles
Also, the correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°
How to illustrate the information?m∠1 + m∠5 = 180°
Which gives;
(30·x - 30)° + (40·x + 70)° = 180°
(70·x + 40)° = 180°
70·x = 180° - 40° = 140°
70x = 140
x = 140/70
x = 2
m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°
m∠1 = 30°
m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°
m∠5 = 150°
The correct option is therefore same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°
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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠1=(30x−30)∘, m∠5=(40x+70)∘
Alt. Int. ∠s Thm.
m∠1 = 30°, m∠5 = 150°
Alt. Int. ∠s Thm.
m∠1 = 30°, m∠5 = 30°
Same-Side Int. ∠s Thm.
m∠1 = 30°, m∠5 = 150°
Same-Side Int. ∠s Thm.
m∠1 = 150°, m∠5 = 30°
y <= 1/2x - 5
y >= 3x - 20
In the xy-plane, a point with coordinates (h, k) lies in the solution set of the system of inequalities above. What is the maximum possible value of h?
Answers
The maximum possible value for 'h' = 6 for the given set of system of inequalities.
What do you mean by system of inequalities?A collection of two or so more inequalities for one or more variables is referred to as a system of inequalities. When a problem necessitates a variety of solutions and those solutions are constrained by more than one constraint, a system of inequalities is used. Inequalities systems are frequently used to describe the constraints on such a solution.For the given set of inequalities;
y ≤ 1/2x - 5
y ≥ 3x - 20
Equation both equation;
(1/2)x - 5 = 3x - 20
x - 10 = 6x - 40
Further simplifying;
-5x = -30
x = 6
Thus, the maximum possible value for 'h' is same as the value find for the x = 6; as h also represents the point on the x-axis.
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PLS HELP
Which of the following could represent the cost of 5 t-shirts and a $7 tax?
A. 5n − 7
B. n + 7(5)
C. 5n + 7
D.5(7) + n
Answers
Answer:
C. 5n+7
You're buying 5 shirts, so that'll be 5n and there's a 7 dollar tax which means we add on the 7 dollar tax. So it's C. 5n+7
If f(1)=2 and f(n)=f(n−1)+2 then find the value of)f(6).
Answers
In function , 12 is the value of)f(6).
What does a math function mean?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.f(1) = 2 and f(n) = f(n -1) + 2
f(1) = 2
f(2) = f(2 - 1) + 2 = f(1) + 2 = 2 + 2 = 4
f(3) = f(3 - 1) + 2 = f(2) + 2 = 4 + 2 = 6
f(4) = f(4 - 1) + 2 = f(3) + 2 = 6 + 2 = 8
f(5) = f(5 - 1) + 2 = f(4) + 2 = 8 + 2 = 10
f(6) = f(6 - 1) + 2 = f(5) + 2 = 10 + 2 = 12
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please help quickly!!
Answers
Answer:
G(x)=-9 when x=5
Step-by-step explanation:
Replace X with 5
3x -x^2+1 becomes 3*5-5^2+1
Then solve
15-25+1=-9
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $500 and the daily rate for each partner is $1000. The law firm assigned a total of 8 lawyers to the case and was able to charge the client $6500 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
Answers
Using a system of equations, it is found that there were 3 associates and 5 partners assigned to the case.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: number of associates.Variable y: number of partners.The firm assigned a total of 8 lawyers to the case, hence:
x + y = 8
x = 8 - y.
The firm was able to charge the client $6500 per day for these lawyers' services, hence, considering the costs:
500x + 1000y = 6500.
Since x = 8 - y, we have that:
500(8 - y) + 1000y = 6500.
500y = 2500
y = 5.
x = 8 - 5 = 3.
The firm assigned 3 associates and 5 partners to the case.
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What is the area of the rectangle whose length is 19 and the width is 31
Answers
Answer:
589
Step-by-step explanation:
to find the area of a rectangle it is length x width
19 is your length
31 is your width
19 x 31 = 589
be sure that in your final answer you put in your units (e.g.[tex]cm^{2}[/tex] )
hoped this helped xx
a survey showed that 4 out of 5 students own a bicycle based on this result how many 800 students in a school own a bicycle
Answers
Any genius want a brainliest :)
Answers
Answer:
1.) q less than a number m times 7 is equal to 23
2.) 3 times a number g plus 8 is equal to 10 less than a number h times 4
3.) 6 more than a number k times 9 is equal to 54
4.) a number f times 7 less than a number of d squared times 6 is equal to a number d times 8 more than a number f squared
5.) a number g times 3 is equal to 45
(I might be wrong, so try to read the equations out loud to see if you agree)