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koban [17]
3 years ago
11

What is the equation of the line (-2,-3) (4,5)

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
Slope = m = y2-y1/x2-x1
 = 5-(-3)/4-(-2)
m=8/6
m=4/3
so  eq of line we select any of one point . i select (4,5)
y - y1 = m(x-x1)
y- 5 = 4/3 (x-4)
3y -15 = 4x-16
4x-3y = 1
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John has $220 in his account and adds $25 to it each month Cheryl has $100 in her account and adds $35 each to her account. How
sammy [17]

Answer: In 12 months they will have the same amount, which will be $520.

Step-by-step explanation:

220 + 25m = 100 + 35m

m = month

Subtract 100 from each side

120 + 25m = 35m

Subtract 25m from each side

120 = 10m

Divide each side by 10

12 = m

4 0
3 years ago
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You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve
KonstantinChe [14]
(x cookies) / (23 students - (12/2) students) = 2 cookies per student
[x / (23 - 6)] cookies per student = 2 cookies per student
23 students * (2 cookies per students) - 12 cookies = x cookies
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46 cookies - 12 cookies = x cookies
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3 0
3 years ago
Question: A square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between t
Sergio [31]

Answer:

The total area between the squares is of 24 units squared.

Step-by-step explanation:

Area of a square:

The area of a square of side length l is given by:

A = l^2

Area between figures:

The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.

Larger square:

Square with side of length 7. So

A_l = 7^2 = 49

Smaller square:

Square with side of length 5. So

A_s = 5^2 = 25

What is the total area between the squares? ​

T = A_l - A_s = 49 - 25 = 24

The total area between the squares is of 24 units squared.

6 0
3 years ago
Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?
In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)=2x^{3}-26x-24

2x^{3}-26x-24=0

2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\

=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\

=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis



7 0
3 years ago
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Whats a synonym (another word) for the word median? *
borishaifa [10]

Another word for median is middle. The median is the middle number of a list of numbers.

7 0
3 years ago
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