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3 years ago

What is the y-intercept of the graph of 4x-10y =20???

Mathematics

1 answer:

Elis [28]3 years ago

6 0

4x = 10y + 20
10y = 4x - 20
y = 4/10x - 2
Solution: y intercept is -2

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Elena has one and a half times as much money as ramon. together they have $225. how much money does each have? choices for ramon

torisob [31]

E= 1.5R
E+R=225
1.5R+R=225
2.5R=225
R= 90

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3 years ago

The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point

taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2 (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

$6-m=\frac{11}{2}$

$-m=\frac{11}{2}-6$

$-m=\frac{11-12}{2}$

$-m=\frac{-1}{2}$

$m=\frac{1}{2}$

Substitute the value $m=\frac{1}{2}$ in y=mx+4 we get

$y=\frac{1}{2}x+4$

At x=-2 $y=\frac{1}{2}(-2)+4$

$=-1+4$

$=3$

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0

3 years ago

The answer and how to do this

Vilka [71]

Graphically I guess means graph it.

First graph goes to first problem. Second graph goes to second problem.

5 0

3 years ago

Two transformations are performed on a figure on a coordinate plane. The first transformation is translated 6 units up and 3 uni

Bess [88]

Answer:

The last answer choice

Step-by-step explanation:

This transformation doesn't not keep its congruent

7 0

3 years ago

Read 2 more answers

Area of a triangle with verticals of (-4,1),(-7,5),(0,1)

Lynna [10]

Answer:

$8 ft^2$

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

$A=\frac{1}{2}bh$

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

$AC=\sqrt{(0-(-4))^2+(1-1)^2}=4$

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

$h=(5-1)=4 ft$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(4)(4)=8 ft^2$

7 0

3 years ago