Answers
The equations of the lines are:
7. y = 3/2x - 3/2
8. y = -1/3x - 8/3
What is the Equation of a Line?The equation that represents a line, in slope-intercept form is, y = mx + b.
Slope of the line = m = rise/run or change in y / change in x.Y-intercept of the line = b = the point where the line intercepts the y-axis.7. Find the slope (m) between (5, 6) and (1, 0):
Slope (m) = (6 - 0)/(5 - 1) = 6/4
Slope (m) = 3/2
Find the y-intercept of the line, b, by substituting m = 3/2 and (x, y) = (1, 0) into y = mx + b:
0 = 3/2(1) + b
-3/2 = b
b = -3/2
To write the equation, substitute m = 3/2 and b = -3/2 into y = mx + b:
y = 3/2x - 3/2
8. Find the slope (m) between (-5, -1) and (1, -3):
Slope (m) = (-1 -(-3))/(-5 - 1) = 2/-6
Slope (m) = -1/3
Find the y-intercept of the line, b, by substituting m = -1/3 and (x, y) = (1, -3) into y = mx + b:
-3 = -1/3(1) + b
-3 = -1/3 + b
-3 + 1/3 = b
-8/3 = b
b = -8/3
To write the equation, substitute m = -1/3 and b = -8/3 into y = mx + b:
y = -1/3x - 8/3
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Related Questions
Select all equations that are also equivalent to 0.6+15b+4=25.6
Answers
The equations that are equivalent to the expression are 15b = 25.6 - 4.6
and 15b =21
Solving linear equationsA two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).
Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.
Given the linear equation below;
0.6+15b+4=25.6
Simplify to have;
0.6+15b+4=25.6
15b + 4.6 = 25.6
15b = 25.6 - 4.6
15b =21
Divide both sides by 15
b = 21/15
b = 1.4
This gives the solution to the given linear equation
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Using Cramer's Rule, the solution to the system of equations
6x - 5y = -4
-7x + 3y = -1
can be written in the form
( Dx , Dy )
( D D )
What is the value of D?
Answers
Answer's
Step-by-step explant
Write 100 minutes in hours and minutes.
Answers
Answer:
1 hour and 40 minutes
Step-by-step explanation:
60 minutes in an hour
we have 100 minutes
100 - 60 = 40
in 100 minutes we already have 1 hour
now we have 40 minutes left
can 40 minutes make another 60?
No.
so 100 minutes make
1 hour and 40 minutesFor which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
Answers
The equations with a solution of 8 are:
x+2=10, x -4 = 4, 3x = 24, and x/8 =1
This is further explained below.
What are equations?An equation is a formula that, in mathematics, expresses the equivalence of two expressions by linking them with the equals symbol =. In other words, an equation is a mathematical expression.
An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value. This is the most basic version of the definition of an equation in algebra.
For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."
Now we consider all equations given
1)
x+6 = 2
x = 2-6
x = -4
2)
Considering question 2 equation to see if it equals 8
x+2=10
x = 10-2
x = 8
3)
Considering question 3 equation to see if it equals 8
x -4 = 4
x = 4+4
x = 8
4)
Considering question 4 equation to see if it equals 8
x-2=10
x = 10+2
x = 12
5)
Considering question 5 equation to see if it equals 8
2x = 4
x = 2
6)
Considering question 6 equation to see if it equals 8
3x = 24
x = 8
7)
Considering question 7 equation to see if it equals 8
x/2 = 16
x = 32
8)
Considering question 8 equation to see if it equals 8
x/8 =1
x = 8
In conclusion, only equations:
x+2=10, x -4 = 4, 3x = 24, and x/8 =1 have the solution of 8
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in a research report by richard h. weindruch of the ucla medical school, it is suggested that mice with an average life span of 34 months will live longer when 30% of the calories in their food are replaced by vitamins and protein. what hypotheses should we use to test this claim?
Answers
A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.
How do you calculate hypothesis example?
Different forms of hypothesis testing are used to establish whether or not the null hypothesis can be rejected depending on the type and quantity of the evidence supplied.The following list of significant test statistics includes the formula for testing hypotheses:z = ¯¯¯x−μσ√n x ¯ − μ σ n . We already know that the z-score is 1.645 and the level of significance is 0.05.Let's compare it to the Z-test now.Because 0.744 1.645, the null hypothesis is true.So, the assertion made by the firm that the average lifespan of their batteries is 2.1 years is validated. The null hypothesis is typically represented in statistics by the letter H with the subscript "0" (zero), creating the symbol H0.It is said with the sound "H-null," "H-zero," or "H-nought."The alternative hypothesis also describes the observations that were determined by the non-random cause.H1 or Ha are used to symbolize it.The assertion that will be put to the test is the alternative to the null hypothesis.It is designated as H1 and contains the parameter's value that we believe to be plausible.The test statistic, which is a number calculated from the sample data, is used to determine whether to accept or reject the null hypothesis. An example of a straightforward hypothesis is that daily consumption of sugary beverages causes obesity.An illustration of a null hypothesis is that all lilies have the same number of petals.A person will feel less worn out if they receive 7 hours of sleep as opposed to sleeping fewer.To learn more about hypotheses refer
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oan, omb, apb and mpn are straight lines and an = 3oa. m is the midpoint of ob. oa = a ов = b ap = kab where k is a scalar quantity. express ab and mn in terms of a and b. express mp in terms of a, b and k. finally, find the value of k.
Answers
The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We have been given that OB = b and OA = a
From ΔAOB we have;
OB + BA + AO = 0
b + (- AB ) -a = 0
AB = b - a
Now from ΔMNO we have;
MN + NO + OM = 0
MN + ( -ON) + OB/ 2 = 0
MN - (OA + AN ) + b/2 = 0
MN - ( a + 30a) + b/2 = 0
MN = 29a - b/2
Now from ΔMBP , we have;
MB + BP + PM = 0
OB/2 + (BA - PA) + PM = 0
b/2 + ( - AP/k + AP) + PM = 0
b/2 + ( -kAB /k + kAB) + PM = 0
b/2 + ( k AB + AB ) + PM ) = 0
PM = -b/2 - (k + 1) (b - a)
MP = b/2 + ( k+1) (b - a)
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Help me please (please dont guess)
Answers
Answer: No the input 3 has two out puts
Step-by-step explanation:
Use ur eyes
2. Use powers to rewrite these problems:
Example: 5 x 5 = 5^2
a. 4 * 4 * 4 * y * y * y
b. 7 * 7 * 7
c. 3 * 3 * 3 * x * x * x
Answers
Answer:
[tex] {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} [/tex]
5. aviation due to a storm, a pilot flying at an altitude of 528 feet has to land. if he has a horizontal distance of 2000ft until the landing strip, what angle of depression should he use to land? round to the nearest tenth of a degree.
Answers
A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.
Given that,
A pilot who is flying at a height of 528 feet must land because of a storm.
We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.
In the right angle triangle:
TanΘ=Opposite side/ adjacent side
The opposite side is 528 feet.
The adjacent side is 2000 feet.
Then,
TanΘ=528/2000
TanΘ=0.264
Θ=Tan⁻¹(0.264)
Θ=14.78°
Therefore, 14.78° angle of depression should he utilize to land.
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What percentage of people in the study started
saving for retirement at age 21 or before? How
does this compare with the how many of these
same people believe their children or
grandchildren should start saving at 21 or
before?
Answers
Answer:8% started saving at or before 21
30% believe their children or grandchildren should start saving at or before 21
Step-by-step explanation: on the graph, the ones in lighter color start saving for requirements
That is 3%+5%=8%
The second solution goes thus
13%+17%= 30%
the ones in dark colors believe their children or grandchildren should start saving before 21
does anybody know what 6x+24 means
Answers
= 6(x+4)
The first three terms of an arithmetic sequence are as follows 33,25,17 what’s the next two terms of this sequence
Answers
The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.
An arithmetic sequence has a constant difference (d) and is defined by
a(n) = a(1) + (n-1)d ----------- (1)
Here a(1) = 33, a(2) = 25, a(3) = 17
d = a(2) - a(1)
d = 25 - 33 = -8
Substitute the values in (1)
a(n) = 33 + (n-1)(-8)
a(n) = 33 - 8n + 8
a(n) = -8n + 41 ------------- (2)
We have to find a(4) and a(5)
Substitute n = 4 in (2), we get
a(4) = -8(4) + 41 = -32 + 41 = 9
Substitute n = 5 in (2), we get
a(5) = -8(5) + 41 = -40 + 41 = 1
Hence the next two terms are 9, 1.
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Is the following statement true or false?
Answers
Reason - BD and AB are two lines intersecting each other at 90°, indicated by the 90 degree box in the corner, so they are perpendicular to each other
Does anyone know the answers to this? I can’t figure it out
Answers
Answer:
[tex]y=57(0.88)^t[/tex][tex]\text{ \$}20.50[/tex]Explanation:
An exponential decay function is generally given in the below;
[tex]y=a\cdot(1-r)^t[/tex]where a = initial amount
r = percentage rate of decrease in decimal
t = number of years
Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;
[tex]\begin{gathered} y=57(1-0.12)^t \\ y=57(0.88)^t \end{gathered}[/tex]When t = 8, let's go ahead and solve for y;
[tex]\begin{gathered} y=57(0.88)^8 \\ y=\text{ \$}20.50\text{ (to the nearest cent)} \end{gathered}[/tex]Find the exact values of the six trigonometric functions of each angle 8.
Answers
Given: The trigonometry shown in the image
To Determine: The exact values of the six trogonometric functions of each angle shown
Solution
It can be observed that
Therefore
[tex]\begin{gathered} sin\theta=-1 \\ cos\theta=-\sqrt{2} \end{gathered}[/tex][tex]tan\theta=\frac{sin\theta}{cos\theta}=\frac{-1}{-\sqrt{2}}=\frac{1}{\sqrt{2}}[/tex][tex]\begin{gathered} csc\theta=\frac{1}{sin\theta}=\frac{1}{-1}=-1 \\ sec\theta=\frac{1}{cos\theta}=\frac{1}{-\sqrt{2}}=-\frac{1}{\sqrt{2}} \\ cot\theta=\frac{1}{tan\theta}=\frac{1}{\frac{1}{\sqrt{2}}}=1\times\sqrt{2}=\sqrt{2} \end{gathered}[/tex]100 brainly!!! Which of the following functions is graphed below?
Answers
Answer: the answer is B
9 The 11th term of an A.P. is -31 and
21st term is -71, find the (a) 1st term
(b) common difference (c) 15th term
Answers
(a) The 1st term of the arithmetic progression is 9
(b) The common difference of the arithmetic progression is -4
(c) The 15th term of the arithmetic progression is -47
Calculating the terms of an Arithmetic ProgressionThe nth term of an arithmetic progression is given by
aₙ = a + (n - 1)d
Where a is the first term
and d is the common difference
From the given information,
a₁₁ = -31
and
a₂₁ = -71
But
a₁₁ = a + 10d
and
a₂₁ = a + 20d
Thus,
a + 10d = -31 ------------ (1)
a + 20d = -71 ------------ (2)
Subtract equation (1) from equation (2)
a + 20d = -71
a + 10d = -31
---------------------------
10d = -40
d = -40/10
d = -4
Substitute the value of d into equation (1)
a + 10d = -31
a + 10(-4) = -31
a - 40 = -31
a = -31 + 40
a = 9
Also,
a₁₅ = a + 14d
Substitute the values of a and d
a₁₅ = 9 + 14(-4)
a₁₅ = 9 - 56
a₁₅ = -47
Hence, the first term is 9, the common difference is -4 and the 15th term is -47
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is -3.5 greater than 17/5
Answers
Answer:
no
Step-by-step explanation:
- 3.5 is a negative number.
17/15 is a positive number.
Note : -
Always positive numbers are greater than negative numbers.
Use statement and reason.
Answers
Answer:
Step-by-step explanation:
only fill in the missing ones pls
Answers
The input and output is follows,
4 4 * 20 + 40
17 18 * 20 + `70
t t+1 * 20 + (t * 10)
What is patterns in math?The arithmetic pattern is also known as the algebraic pattern.A numerical pattern is a sequence of numbers that has been created based on a formula or rule called a pattern rule.Pattern rules can use one or more mathematical operations to describe the relationship between consecutive numbers in the pattern.How to Recognize Patterns :
Actively Look for PatternsOrganize the PiecesQuestion the DataVisualize the DataImagine New PossibilitiesTherefore,
From given question the first no is just next number of input that is input +1i.e.. input number is 2 then the first number of output is 2+1 = 3
Second number of output is constant 20.Third number of output is input value * 10i.e. . input number is 2 then the third number of output is 2 * 10 = 20
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PLS ANSWER FAST!!! A triangle has coordinates R(2,−1),S(3,3), and T(4,6). The triangle is dilated by a scale factor of 1.5 with the origin as the center of dilation. What is the x-coordinate of R′ in the dilated triangle?
Answers
The x-coordinate of point R′ after dilation is 3
How to determine the x-coordinate of R′ after dilation?The given parameters are:
R(2,−1),S(3,3), and T(4,6).
The scale factor of dilation is given as
Scale factor = 1.5
Mathematically, this transformation can be represented as
(x, y) = 1.5(x, y)
When represented as a function, we have
Image = 1.5 * Point
For point R, we have
R = (2, -1)
Substitute the equation Point = (2, -1) in the equation Image = 1.5 * Point
So, we have the following equation
R' = 1.5 * (2, -1)
Evaluate the product
R' = (3, -1.5)
Remove the y-coordinate
R'x = 3
Hence, the image of the x cooridnates is 3
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Find the value of x and y. PLEASE EXPLAIN ;)
Answers
Answer: man
why bro
Step-by-step explanation:
Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation. Provide your answer below:
Answers
Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation.
Algebraic expression is equal to
[tex]y-46\ge184[/tex]Solve for y
[tex]\begin{gathered} y-46\ge184 \\ y\ge184+46 \\ y\ge230 \end{gathered}[/tex]The solution for y is the interval {230, infinite)Jim's backyard is a rectangular that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many pieces of sod will Jim need to but to cover his backyard with sod.
Answers
The number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.
What is termed as the unitary method?The unitary method is a process that determines the value of a single unit from the value of multiple units, as well as the value of multiple units from of the value of a single unit.For the given question;
The backyard of Jim is in the shape of the rectangle.
The dimension of the yards are in given in mixed fraction, convert that in improper fraction as;
Length : 15 5/6 yards = 95/6 yardsWidth : 10 2/5 yards = 52/5 yardsThe area of the rectangle yard is;
Area = length x width
Area = 95/6 x 52/5
Area = 76 sq. yd.
The dimension of the sod in pieces are -
Length : 1 1/3 yardsWidth : 1 1/3 yardsArea of each sod is -
Area = length x width
Area = 11/3 x 11/3
Area = 121/6 sq. yd.
Thus, the total umber of the sods required for the yard is;
Number = 76 sq. yd. / 121/6 sq. yd.
Number = 3.76 ≈ 4
Thus, the number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.
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Calculate If 2x=8 find 5x+1
Answers
ANSWER
x = 4; 5x + 1 = 21
EXPLANATION
First, we have to find the value of x using the given equation,
[tex]2x=8[/tex]To do so, divide both sides by 2,
[tex]\begin{gathered} \frac{2x}{2}=\frac{8}{2} \\ \\ x=4 \end{gathered}[/tex]Now, with x = 4, replace it into the expression given to find its value,
[tex]5x+1=5\cdot4+1=20+1=21[/tex]Hence, the value of the expression is 21.
pls help due nowwwwwwwwwwwwwww
Answers
Answer:
A
Step-by-step explanation:
once tearra started buying games her money decreased by $35.50
Rob counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. Mini size Regular size Jumbo size 5 3 3 One prize Two prizes 3 4 5 Are the events "the box of cereal contains one prize" and "the box of cereal is regular size" independent? yes no
Answers
The events are independent because there is no evidence of dependece between the events, the box can contain one or two prices or be any size.
The cost of a computer in a computer store is reduced by 12.5% in a sale. İf the computer was priced 7800$ what is the price in the sale?
Answers
Answer:
$6825.
Step-by-step explanation:
Price in the sale
= 7800 - 12.5% of 7800
= 7800 - 1/8 * 7800
= 7800 - 975
= $6825.
What is the polar form of -9-91√3 ?
09 (cos()+ i sin())
O 9 (cos (4T) + i sin (4))
O 18 (cos ()+sin())
O 18 (cos (4) + i sin (4T))
3
Answers
The polar form of the rectangular form - 9 - i 9√3 is 18 · [cos (4π / 3) + i sin (4π / 3)]. (Correct choice: A)
What is the polar form of a complex number in rectangular number?
Herein we find a complex number in rectangular form, that is, a complex number of the form a + i b, whose polar form has to be found. Complex numbers in polar form are defined by the following expression:
z = r · (cos θ + i sin θ)
r = √(a² + b²)
θ = tan⁻¹ (b / a)
Where:
r - Norm of the complex number.θ - Direction of the complex number, in radians.a, b - Components of the complex number in rectangular form.If we know that a = - 9 and b = - 9√3, then the complex number in polar form is:
r = √[(- 9)² + (- 9√3)²]
r = 18
θ = tan⁻¹ √3
θ = 4π / 3
The polar form is 18 · [cos (4π / 3) + i sin (4π / 3)].
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Please help me write a 1 page story explaining the identified above.
Answers
Blaise Pascal and Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how scientists and mathematicians regarded uncertainty and risk.
Who established the odds for dice games in 1560?The issue with the Duke of Tuscany (1560)
The Duke of Tuscany was a constant competitor. He had noticed that number 10 frequently occurred over number 9 in a game where three dice are tossed and the points are added. De Duke, however, asserts that there are six different ways to generate both figures.
What dice game is the oldest?Pyramidal dice (four-sided), which date back to Summer in the third millennium bce, are just as old as cubical dice. These dice were discovered alongside the so-called Royal Game of Ur, one of the oldest complete board games ever uncovered.
In his book A Pocket Guide to Dice & Dice Games, Keith Souter develops the Sir Farkle theory and fixes Iceland as the setting and the year as 1492.
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