Which angles are corresponding angles?

If a quadratic function has x-intercepts at (-7,0) and 10,0), where would

madam [21]

Answer:

x = 1.5

Step-by-step explanation:

Since the axis of symmetry is between the 2 x intercepts, we can find it by finding the average of the x-coordinates of the 2 points.

(-7 + 10) / 2

3/2

= 1.5

So, the axis of symmetry is at x = 1.5

8 0

2 years ago

A movie theater decreased the size of its popcorn bags by 20%. If the old bags held 15 cups of popcorn, how much do the new bags

vovikov84 [41]

Answer:

Your answer will be  $12$  cups of popcorn.

Step-by-step explanation:

To find out how much the new bags hold, you need to find out the discount.

$\frac{20}{100 } = .2$

$15 * .2 = 3$

We know that the discount is $3$ .

To figure out how much the new bags hold, subtract by the old bags.

$15 - 3 = 12$

The new bags hold 12 cups of popcorn. 

7 0

2 years ago

What is the value of x? Enter your answer in the box. x =

antoniya [11.8K]

Answer:

It's answer is 8

Step-by-step explanation:

hypotenuse (h) = 10

base (b) = 6

perpendicular (p) = x = ?

We know by using Pythagoras theorem

p = √ h² - b²

= √ 10² - 6²

= √ 100 - 36

= √ 64

x = 8

Hope it will help : ) ❤

3 0

2 years ago

What are the Rates of Change and the initial values to these? If you don't have the answer I'll take an explanation on how to do

gogolik [260]

Step-by-step explanation:

So, a coordinate plane is made out of two axis, the x and the y. Through these, we have grid squares on the plane showing points. So, each square would be one point. To find the rate of change, or slope, you would have to use the formula:

y(#2) - y(#1)

------------------ = Divided by

x(#2) - y(#1)

This formula will calculate the rate of change. I will do the first one for you as follows.

The first point I would find would be (1,3). 1 space on the X-axis, 3 on the Y-axis.

To write a ordered pair to represent the point on the plane, use the (X,Y).

Then, I'd find the second point.

Following the second point, I would do the equation like so.

y(2) - 3

-----------------

x(2) - 1

See, I used the first points given as the last X and Y variables in the formula.

Hope this helps you out!

4 0

2 years ago

Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin

icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

$\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}$

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

$y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}$

$y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}$

$y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}$

It is linear differential equation because this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

$y'+P(x)y=g(x)$

$P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}$

$\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}$

Homogeneous equation

$\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}$

Degree of f and g are same.

$f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x$

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0

3 years ago