All categories

2 years ago

Please help i don't understand!

Mathematics

1 answer:

vaieri [72.5K]2 years ago

7 0

Answer: 9. x=-3/2 10. x=2

x= 5/2 x=5/3

Step-by-step explanation:

9. Factor the equation:

How: put 4x^2 in the bottom left box and -15 in the upper right box.

then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.

Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6

-10 x 6 = -60

-10 + 6 = -4

Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.

I attached a picture. The colored dots correspond with each other.

Eg: Orange dot x orange dot = number in white square

Now you get the two factors (2x+3)(2x-5)

Set both of these equal to 0 and solve

0=2x+3 0=2x-5

x= -3/2 x= 5/2

Do the same for the other problem

You might be interested in

Heeeeellllppp PLEASE!!!! 20 POINTS!!!

Scilla [17]

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

D is midpoint of TR.

We have T(-2a, 0) and R(-2b, 2c). Substitute:

$x=\dfrac{-2a+(-2b)}{2}=\dfrac{-2a-2b}{2}=\dfrac{2(-a-b)}{2}=-a-b\\\\y=\dfrac{0+2c}{2}=\dfrac{2C}{2}=c$

<h3>Answer: b. (-a - b, c)</h3>

3 0

3 years ago

A glass is

Marrrta [24]

total volume of the glass is $}x =200cm^3$ .

<u>Step-by-step explanation:</u>

Here we have , A glass is 1/4 full. Then 70cm3 of orange juice is poured in.

The glass is now 3/5 full. We need to find that What is the total volume of the glass . Let's find out :

Suppose that volume of glass is x ,so according to question we have the following equation

$\frac{x}{4}+70 = \frac{3x}{5}$ , Now, solve this to find value of x

⇒ $\frac{x}{4}+70 = \frac{3x}{5}$

⇒ $70 = \frac{3x}{5}- \frac{x}{4}$

⇒ $70 = \frac{3x((4)-x(5)}{5(4)}$

⇒ $70 = \frac{12x-5x}{20}$

⇒ $70(20) = 12x-5x$

⇒ $7x = 1400$

⇒ $\frac{7}{7}x = \frac{1400}{7}$

⇒ $}x =200cm^3$

Therefore, total volume of the glass is $}x =200cm^3$ .

5 0

3 years ago

What is the height of this triangle between C and D

Rom4ik [11]

Answer:

12 units

Step-by-step explanation:

To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.

8 0

3 years ago

What is the solution to the system of equation y=2/3x+3 x=-2

Leya [2.2K]

Answer

Is x equal to negative 2?

Step-by-step explanation:

7 0

3 years ago

Please hellp me mmmmmmmmeeeeeeeeeee

luda_lava [24]

0.2 if 1 Mile is 5 Minutes then every 0.1 mile is 30 seconds so 1 minute would be 0.2

3 0

3 years ago