All categories

2 years ago

Slove system of equations y=2x-3 y=x^2-2x-8

Mathematics

1 answer:

Fiesta28 [93]2 years ago

3 0

Answer:

2 solutions:

x=5 and y=7

x=-1 and y=-5

Step-by-step explanation:

y=2x-3

y=x^2-2x-8

y=y so:

2x-3=x^2-2x-8

simplifying to:

x^2-4x-5=0

factoring to:

(x-5)(x+1)=0

x=5 or x=-1

if x=5 then y=2(5)-3=7

if x=-1 then y=2(-1)-3=-5

You might be interested in

A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?

vekshin1

Answer:

48 pieces are cut.

Step-by-step explanation:

1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.

5 0

3 years ago

Solve the formula for the variable 1. f = 1/2(r 6.5)

Elina [12.6K]

F = 1/2(r + 6.5)
2f = r + 6.5
r = 2f - 6.5

8 0

3 years ago

Write in simplest form 1/3 times 1 1/3

IRINA_888 [86]

Answer:

3 2/3

Step-by-step explanation:

Use a calculator please

8 0

3 years ago

At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

4 0

3 years ago

What is the value of x in the right triangle shown? 25 cm 7 cm

finlep [7]

Answer:

x = 24

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

-49 -49

b^2 = 576

square root them

b = 24, or x = 24

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

7 0

3 years ago

Read 2 more answers