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2 years ago

What expression is equivalent to (9x^2 + 2x -7)(x - 4)

Mathematics

1 answer:

Dima020 [189]2 years ago

3 0

Answer: C

Step-by-step explanation:

We can use the expanding rule to get that one if the expressions is

(9x^2 + 2x - 7)x + (9x^2 + 2x - 7)(-4)

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One number is half another number. The sum of the two numbers is 57. Find the two numbers

nalin [4]

Let's call one number x and one number y.

x/2=y

x+y=57

We can set these equations equal to each other to solve for the numbers by subtracting x from both sides of the second equation. Now the equations are:

y=-x+57 and x/2=y

Since both equations equal y, they are also equal to each other:

-x+57=x/2

First, multiply both sides by 2:

-2x+114=x

Add 2x to both sides.

114=3x

Divide both sides by 3.

38=x

One of the numbers is 38. Now, we can plug 38 in for x in either of the equations to solve for y:

(38)+y=57

Subtract 38 from both sides:

y=19

The two numbers are 38 and 19.

I hope this helps :)

3 0

3 years ago

Write 0.24 as a reduced fraction

iogann1982 [59]

.24 = 24/100 = 12/50 = 6/25

3 0

3 years ago

Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport

vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, $A, B$ and $C$ are the positions of airport, shopping center and factory respectively.

Given that, $AB= 3.6 miles, BC= 4.8 miles$ and $AC= 6.0 miles$

In right triangle $ABC$

$tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree$

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is $BD$ .

That means, $\triangle BCD$ is also a right triangle in which $\angle BDC=90\°$ , Hypotenuse $(BC)= 4.8$ miles and $BD$ is the opposite side in respect of $\angle DCB$ or $\angle ACB$ .

Now in right triangle $BCD$

$Sin(\angle ACB)=\frac{BD}{BC}\\ \\ Sin(36.8698...)=\frac{BD}{4.8}\\ \\ BD=4.8*Sin(36.8698...)=2.88$

So, the shortest possible length for the service road is 2.88 miles.

4 0

4 years ago

What are the intercept of 2X+3y= 6z=30

sattari [20]

The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).

<h3>What are the intercepts of the equation as give in the task content?</h3>

The x-intercept of the given equation can be determined by setting values of y and z to zero.

The y-intercept can be determined by setting x and z to zero.

While the z-intercept can be determined by setting x and y to zero.

Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.

Therefore, we have; (15,0,0)

The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)

And hence, the z-intercept is; z = 30/6 = 5.