All categories

3 years ago

Solve. −x2 = 2x − 15

Mathematics

1 answer:

Fynjy0 [20]3 years ago

5 0

Answer: X= 15/4

Step-by-step explanation:

Subtract 2x from both sides

-x 2-2x=2x-15-2x

Simplify

-4x=-15

Divide both sides by -4

4x/-4 = -15/-4

Simplify

X=15/4

~Hope it helps and stay safe! ~

You might be interested in

Make and explain a prediction about the nature of the solution to the following system of equations, and then solve the system.

Dominik [7]

Answer:

(3,-4) and (-3,4)

Step-by-step explanation:

$x^2+y^2=25$

$4x+3y=0$

The first equation is a circle with radius of 5 units

The second equation is a line which has slope $\frac{4}{3}$

So, for 4 unit change in y there will be 3 unit chang in x.

The circle has its center at the origin and the line passes through the orgin.

The line will intersect the circle at two points giving us two solutions

From the second equation we get

$y=-\frac{4}{3}x$

Applying in the second equation

$x^2+\left(-\frac{4}{3}x\right)^2=25\\\Rightarrow x^2+\frac{16}{9}x^2=25\\\Rightarrow \frac{9x^2+16x^2}{9}=25\\\Rightarrow 25x^2=225\\\Rightarrow x^2=\frac{225}{25}\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3$

When x = 3

$y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times 3\\\Rightarrow y=-4$

When x = -3

$y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times -3\\\Rightarrow y=4$

So, the points where the line and circle intersect are (3,-4) and (-3,4)

6 0

3 years ago

I’m not sure what this is

lbvjy [14]

It’s brainly find answers to ur questions

6 0

3 years ago

AveGali [126]

It would have to be 101.75

7 0

3 years ago

The spoke of a bike tire which goes from the center of the wheel to the edge measures 9 inches

MariettaO [177]

48pi because the circumference is 18pi and that Times 3 is 48pi

6 0

3 years ago

Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no

Fofino [41]

Answer:

A unique triangle

Step-by-step explanation:

12+7 > 14

12 + 14 > 7

7 + 14 > 12

By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)

7 0

3 years ago