A parabola can be drawn given a focus of (1, 10) and a directrix of
y = 4. What can be said about the parabola?

Raise 5 to the 3rd power:

(5y)^3 = 5^3y^3 = 125y^3

The answer is 125y^3

Answer:

D ; y = (4/3)x + 2

Step-by-step explanation:

The general form of the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us represent the given equation in this general form

We have this as;

4y= -3x + 12

divide through by 4

y = -3/4x + 3

Now, the slope of this equation is -3/4

Mathematically, when two lines are perpendicular, the product of their slopes is -1

let us have the slope of the second equation as m2

-3/4 * m2 = -1

-3m2 = 4 * -1

m2 = -4/-3

m2 = 4/3

so, the equation that is perpendicular will have its slope as 4/3

Looking through the options given as we have the equations in the general form, the equation D is the correct answer

D ; y = (4/3)x + 2

Answer: See explanation

Step-by-step explanation:

7x - 2(x + 3y) + 3y

= 7x - 2x - 6y + 3y

= 5x - 3y

Will got 5x + 9y because he didn't multiply the values in the bracket by the minus sign outside the bracket. He multiplied the values by +2 rather than -2. This resulted in the wrong answer that he got.

Anwnser 8

Step-by-step explanation:

2,4,6,8,32

y=2x+23

2x is the for the number of people added every month and 23 is for the number you start with

The equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

In slope-intercept form, an equation of a line is represented as y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (or the point at which the line crosses the y-axis).

Let's represent x is the number of months and y is the number of members.

The number of members y in x months is a linear function of the number of months, with a slope of 2 (the number of members added per month) and a y-intercept of 23 (the number of members at the beginning).

Thus, the equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

Learn more about the equation here:

brainly.com/question/10413253

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Answer:

The answer is C

Step-by-step explanation:

5(-8) is equal to -40 and -40 minus 2 would give you -42

You could try it with the others if you want

Answer:

The answer is C

Step-by-step explanation:

to find slope do

-42 - (-17) = -25

and

-8 - (-3) = -5

then

-25/-5 = 5 as the slope

to find the y-intersept look where x = 0

so the y-intersept is -2

linear equation is y=mx+b

m = slope

b = y-intersept

so y = 5x - 2

Answer:

b

Step-by-step explanation:

that means she could have

3 males

2 males then a female

or a male, then a female, then a male again.

but same goes for female

answer is x<8

Step-by-step explanation:

Answer:

$2.50+$1.25 times M

Step-by-step explanation:

$10.75-$8.25=$2.50

$3.50-$2.25=$1.25

$2.50+$1.25=$3.75

As only one-time fee, we cancel out it, then only add on the per-month fee, which is $1.25 every month.

Answer:

I think swinging.

Step-by-step explanation:

I think this because that is the only one that would explain why the distance decreases and increases.

Answer:

377 cm2 !!!!! i hope its correeect!> <

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The angles of the two triangles don't match, and the two sides given aren't congruent, so it is impossible for the triangles to be congruent.

Answer:

The little circle is black.

The first top row is: purple(7), blue(8), purple(7), blue(8), purple(7), blue(8).

The 2nd row is: pink(5), orange(6), yellow(4), green(2), red(1), brown(10)

The 3rd row is: brown(10), red(1), green(2), yellow(4), orange(6), pink(5)

The top handle color is: brown(10)

The bottom handle color is: black(3)

Step-by-step explanation:

I worked it out

Answer:

the perimeter of the rectangle is 70 cm

Step-by-step explanation:

The computation of the perimeter of the rectangle is given below:

first we determine the side of each tile i.e.  

l² = A

l² = 49cm²

l = √49cm²

l = 7cm

now we calculate the perimeter i.e.  

P = 2 (3 (7cm) + 2 (7cm))

= 2 (21cm + 14cm)

= 2 (35cm)

= 70cm

Hence, the perimeter of the rectangle is 70 cm

Answer:

0 pints ≤ J ≤ 4 pints

Where J is the amount of juice that Carl bought.

Step-by-step explanation:

Here we need to learn how to use the inequality symbols.

Let's define each one of them:

A < B   (A is strictly smaller than B)

A > B  (A is strictly greater than B)

A ≤ B (A is smaller than or equal to B)

A ≥ B  (A is greater than or equal to B)

A ≠ B  (A is different than B)

Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.

Then the total amount of mil that he buys is 4 times one pint, this is:

4*1 pint = 4 pints

He has 4 pints of milk.

And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:

J < 4 pints

This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)

If we want to be more correct, we should write:

0 pints ≤ J ≤ 4 pints

Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)

Answer:

C) 36

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 9

h = 8

Work:

A = 1/2bh

A = 1/2(9)(8)

A = 4.5(8)

A = 36

triangles are congruent hence,

.1.) MN = 4 units

2.) m√MLN = 42°

Answer:

85

Step-by-step explanation:

Answer:

The answer is the 3rd one i think ,

Step-by-step explanation:

The real answer is 23 and the nearst item among these , is 20.2% .

Hope this helps u .

Good luck ^^

Answer:

d

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

The answer is A) because the formula to solving the area of a parrellogram is b x h

Answer:

true

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

360/5 = 72

The angle of the rotation will be 72°. Then the correct option is B.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

The pentagon is shown.

The angle of rotation of the pentagon such that the pentagon will remain in the same position.

Then the angle of the rotation is given as,

⇒ 360° / n

Where n be the number of the sides of the polygon.

In pentagon, the number of the sides will be 5.

Then the angle of the rotation will be

⇒ 360° / 5

⇒ 72°

Thus, the angle of the rotation will be 72°

Then the correct option is B.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

#SPJ5

Answer: 55 people attend aerobics at Martha’s altogether

Step-by-step explanation:

Martha conducts aerobics three times a week in her home.

Number of members in first group = 19 members

Number of members in second group = 22 members ; and

Number of members in third group = 14 members

To find the number of people who attended aerobics we have to add the number of members in all tge three groups.

So, number of people who attended aerobics at Martha’s altogether = 19 + 22 + 14 = 55 members

Hope it helps.

Thank you :)

Step-by-step explanation:

Answer:

Third option : 9^10 / 9^2

Step-by-step explanation:

9^2 . 9^6

Formula / Identity : -

a^m . a^n = a^( m + n )

Here,

a = 9

m = 2

n = 6

9^2 . 9^6

= 9^( 2 + 6 )

=9^8

9^10 / 9^2

Formula / Identity : -

a^m / a^n = a^( m - n )

Here,

a = 9

m = 10

n = 2

9^10 / 9^2

= 9^( 10 - 2 )

= 9^8

Therefore,

9^10 / 9^2 is equivalent to 9^2 . 9^6.

Answer:

22 4/5 miles

Step-by-step explanation:

miles per gallon = total miles / total gallons used

[tex]15\frac{1}{5}[/tex] ÷[tex]\frac{2}{3}[/tex]

convert the mixed fraction to an improper fraction

[tex]\frac{76}{5}[/tex] × [tex]\frac{3}{2}[/tex] = [tex]\frac{114}{5}[/tex] = 22 4/5 miles

Answer:

-8/9.

Step-by-step explanation:

The slope = difference in y-values / corresponding difference in x values

Slope = (-8-0)/(5 - (-4))

= -8/9.