Answer:
a = - 3, b = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (3, - 4 ) into the partial equation
- 4 = - 6 + c ⇒ c = - 4 + 6 = 2
y = - 2x + 2 ← equation of line
------------------------------------------------------------------
Substitute (a, 8 ) into the equation and solve for a
8 = - 2a + 2 ( subtract 2 from both sides )
6 = - 2a ( divide both sides by - 2 )
- 3 = a
Substitute (5, b ) into the equation and solve for b
b = - 2(5) + 2 = - 10 + 2 = - 8
HELPPPP PLS!! TY
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.
What is the length of side AB of the triangle? (1 point)
Square root of 6
3
Square root of 18
6
Step-by-step explanation:
as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.
the drawn triangle is nothing else than that.
to calculate the length of a side in such a triangle we need to use Pythagoras :
c² = a² + b²
c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.
a and b are the legs of the triangle "enclosing" the 90 degree angle.
so, we have
AB² = AC² + BC²
AC and BC we know : the coordinate differences in x and y directions.
AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.
BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.
AB² = 3² + 3² = 9 + 9 = 18
AB = sqrt(18)
FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)
given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?
Answer:
-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6
All the numbers
Step-by-step explanation:
A rational number is a number that can be expressed as in a fraction or decimal (m/n form)
All numbers above can be defined.
A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6
-100 = -100/1
It is in the form of p/q.
It is a rational number.
-14.5 = -145/10
It is in the form of p/q.
It is a rational number.
-2 = -2/1
It is in the form of p/q.
It is a rational number.
-2/3 = -2/3
It is in the form of p/q.
It is a rational number.
0 = 0/1
It is in the form of p/q.
It is a rational number.
19 = 19/1
It is in the form of p/q.
It is a rational number.
15 = 15/1
It is in the form of p/q.
It is a rational number.
20 = 20/1
It is in the form of p/q.
It is a rational number.
1/6
It is in the form of p/q.
It is a rational number.
We see that all the numbers given are rational numbers.
Thus,
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
Learn more about rational numbers here:
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Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.
Answer:
You need more information for this question to be solved.
Step-by-step explanation:
Are any of the variables given?
(6x + 7) + (13x + 21) = 180
x =
Answer:
Step-by-step explanation:
x=4
What substitution should be used to rewrite x10−13x5+12=0 as a quadratic equation?
u=x10
u=x2
u=x5
u=x20
Answer:
C
Step-by-step explanation:
put x^5=u
Answer:
[tex]u=x^{5}[/tex]
Step-by-step explanation:
[tex]x^{10} - 13x^{5} + 12 = 0\\\\(x^{5})^{2} - 13x^{5} + 12 = 0\\\\u^{2}-13u+12=0[/tex]
two and twenty-seven hundredths
Actual number
[tex]\\ \sf\longmapsto 202700[/tex]
Number in words=two hundred and two thousands and seven hundreds
the weight in pounds of a newborn baby t months after birth can be modeled by the equation W=t+7. what is the y-intercept of the equation and what is its interpretation in the context of the problem
Answer:
y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed
Step-by-step explanation:
in this equation:
weight= t(months) + 7
this is an equation written as y=mx +b
in a line equation like this b is the y intercept , or the y value when x=0
in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn
In the year 2000, the population of Florida was 16 million people. Since then, the population has grown at least 2% each year. How many years will it be before the state's population is at least 30 million people? Round to the nearest tenth of a year.
Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.
An increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
The initial population is of 16 million people, hence [tex]A(0) = 16[/tex].The growth rate is of 2%, hence [tex]r = 0.02[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 16(1 + 0.02)^t[/tex]
[tex]A(t) = 16(1.02)^t[/tex]
It will be 30 million after t years, for which A(t) = 30, hence:
[tex]A(t) = 16(1.02)^t[/tex]
[tex]30 = 16(1.02)^t[/tex]
[tex](1.02)^t = \frac{30}{16}[/tex]
[tex](1.02)^t = 1.875[/tex]
[tex]\log{(1.02)^t} = \log{1.875}[/tex]
[tex]t\log{1.02} = \log{1.875}[/tex]
[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]
[tex]t = 31.7[/tex]
It will take 31.7 years for the state's population to be of at least 30 million people.
A similar problem is given at https://brainly.com/question/14773454
Please help I've never been more confused
Step-by-step explanation:
2.
Two pairs of corresponding angles
i. angle C angle D
ii. angle G angle F
Two pairs of alternate angles
i. angle B angle D
ii. angle H angle F
Two pairs of interior angles
i. angle C angle H
ii. angle D angle E
Write 5×100+9×1+3×1/100+7×1/1000 in standard form
Answer:
512.017
Step-by-step explanation:
Just multiply all the numbers and add them as you go along to make one number.
Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.
Answer:
(x-6)(x+6) pairs with x^2-36
9x^2-1 pairs with (3x-1)(3x+1)
4(x+2)(x-2) pairs with 4x^2-16
Step-by-step explanation:
Triangle ABC is similar to triangle EFD. What
scale factor is required to dilate triangle ABC
so that its image, A'B'C', is congruent to
triangle EFD?
A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?
A digital music service sells 12 songs for $9. 96. At this rate, how many songs can you purchase for $4. 15?.
Jordan saved $15.00 because he bought a pair of jeans on sale of 40% OFF. What was theoriginal cost of the jeans?
Answer:
$21.00
Step 1- Solve 40% of $15.00
=$6.00
Step 2- Add the 40% to the discount amount
=$6.00+$15.00=$21.00
At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?
Answer:
$2 for each bottle of mango juice and 3$ for each bag of chips
Step-by-step explanation:
hope it can help you lovelots
find the unit rate for this problem
45 tacos for 15 people ______ to is per person
No link please!!!
Answer:
45/15 = 3
Step-by-step explanation:
3 tacos per person
Answer:
3 tacos for 1 person
Step-by-step explanation:
45 tacos / 15 people
Divide the top and bottom by 15
(45/15) / ( 15/15)= 3/1
3 tacos for 1 person
( For Brainly )
On which body part a temporal lobe is placed?
The square root of 81 is?
Answer:
On which body part a temporal lobe is placed?
answer-
behind the ears
The square root of 81 is?
answer-
9
What is 564.2+3.006-1.6?
Answer:
565.606, is shown step by step in the picture
find the percentage change and classify as an increase or decrease
2004 cost: $18.77
2006 cost: $19.17
Answer:
this is 2% increase
Step-by-step explanation:
to find percent change,
big - small
---------------
original
19.17-18.77
-------------- = 0.021
18.77
round: 0.02 or 2%
11/12 x 24 + 16/3 - 9/4 =
Answer:
301/12Step-by-step explanation:
Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food
Answer:
I think youre trying to ask the weight of one of the bags
Step-by-step explanation:
the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps
What is the nth term rule of the lines
5, 8, 11, 14, 17....
Tn
I think the answer is 3n+2.
Answer:
3n+2
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
BRAINLIEST
Two questions to solve
Please no trolling
Answer:
Step-by-step explanation:
question 13:
the triangle with x is a 30-60-90 triangle which means
x= 17√3
then the traingle with y and z is a 45-45 triangle
z=34
y= 34√2
question 14:
x= 18√3
z=9
y= 18
Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix did he purchase?
Answer: 3 pounds
Step-by-step explanation:
brainliest me
Answer:
3
Step-by-step explanation:
14.04 divided by 4.68 is 3
Kim kardashian weight lifts 150N. Her muscles use 100J of energy. Calculate the distance she moves her weight
Answer:
2/3 meters
Step-by-step explanation:
Work=Force*Distance
we can also say:
Distance=Work/Force
Distance=100j/150N
D=2/3 meters
The distance she moves her weight is 2/3 meters.
What is energy?Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.
Energy is a preserved resource according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.
Given, Kim Kardashian weight lifts 150N.
Her muscles use 100J of energy.
We know work = force×distance.
∴ 100 = 150×distance.
distance = 100/150.
distance = 2/3 meters.
learn more about force here :
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Plzzzzzz help one more time
Determine the measure∠d.
14°is the correct answer.
Please mark my answer as brainest and follow me to get the answer faster
Answer:
∡d = 83°
Step-by-step explanation:
∡d is 180 - 97 = 83°
∡d and the 97° angle are supplementary, meaning their sum is 180 degrees
What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY
Answer:
D) (4, -6, -1)