All categories

4 years ago

Graph the system of equations on the coordinate plane and determine the solution to

Mathematics

1 answer:

Sergeu [11.5K]4 years ago

3 0

Answer:

(6,2)

Step-by-step explanation:

y=-1/2x+5

y=2x-10

-1/2 x+5 =2x-10 to find the solution y=y ( point of intersection of two lines)

-1/2 x-2x = -10-5 solve for x

-5/2 x=-15

x=-30/-5=6

y=2x- 10 substitute x in the equation to get y

y=2(6)-10

y=2

You might be interested in

If f(x) = 3^(x + 4), find f(2).

Vikki [24]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.

Len [333]

Answer:

7. C. 6

8. H. √34

9. A. (1, 3.5)

10. J. 10

Step-by-step explanation:

7. AB = 2y, BC = 6y, AC = 48

AB + BC = AC (segment addition theorem)

Substitute the above values into the equation

2y + 6y = 48

Solve for y

8y = 48

Divide both sides by 8

8y/8 = 48/8

y = 6

8. Distance between P(2, 8) and Q(5, 3):

$PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$P(2, 8) = (x_1, y_1)$

$Q(5, 3) = (x_2, y_2)$

$PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2}$

$PQ = \sqrt{(3)^2 + (-5)^2}$

$PQ = \sqrt{9 + 25}$

$PQ = \sqrt{34}$

9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $L(8, 5) = (x_1, y_1)$

$B(-6, 2) = (x_2, y_2)$

Thus:

$M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2})$

$M(\frac{2}{2}, \frac{7}{2})$

$M(1, 3.5)$

10. M = -10, N = -20

Distance between M and N, MN = |-20 - (-10)|

= |-20 + 10| = |-10|

MN = 10

5 0

4 years ago

I need some help please

spin [16.1K]

Answer:

140 will be his weight of Antony's weight

7 0

3 years ago

Read 2 more answers

.....?????...........

Liula [17]

You need 3a^3 to equal a^3, so you would need at subtract 2a^3.

Since the problem is addition, add - 2a^3:

3a^3 + -2a^3 = 3a^3 - 2a^3 = a^3

Then you have -5b^3 and you need it to equal b^^3, so you would need to add 6b^3:

-5b^3 + 6b^3 = b^3

First box would be -2

Second box would be 6

3 0

3 years ago

3. What is the yintercept<br> ? Show your work.<br> of f(x)<br> *(x)=()

Gre4nikov [31]

The y-intercept is (0,1)
⬇️
F(x)=(1/3)^x
f(0)=(1/3)^0
F(0)=1

3 0

3 years ago