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If C=3m^2 +4m+5 and D =3m +7, find expression that equal 2C +2D in standard form

Answer:

3 &4

Step-by-step explanation:

The hyperbola with one focus point in common with the given hyperbola is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

To find a hyperbola that shares one focus point with the given hyperbola, we need to find another hyperbola with the same focus point but different characteristics (e.g., eccentricity or axis length).

The equation of the given hyperbola is:

[(y + 11)² / 15²] - [(x - 7)² / 8²] = 1

The general equation of a hyperbola with its center at (h, k) is:

[(y - k)² / a²] - [(x - h)² / b²] = 1

The center (h, k) of the given hyperbola is (7, -11).

To share one focus point, we need to keep the center at (7, -11) but change the values of a and b. The eccentricity of a hyperbola is defined as e = c / a, where c is the distance from the center to the focus.

Let's assume the new hyperbola has an eccentricity different from the given hyperbola. We'll keep the same value of c and change the value of a to get a different eccentricity.

Let's say the new hyperbola has a value of a' = 10. Since the eccentricity is different, the value of b' will change accordingly. Let's calculate b' using the eccentricity formula:

e = c / a'

15 / 10 = 1.5

Now, we can find b' using the eccentricity:

e = c / a' = c / 10

c = e * a' = 1.5 * 10 = 15

Now, we have the center (7, -11), the value of a' = 10, and the value of c = 15. The equation of the new hyperbola with one focus point in common is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

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Answer:

-3x + 4 = 2

just find x

Step-by-step explanation:

x = ⅔

Answer:

a) angle CAR =angle BAR

Im so sorry if im wrong

Answer:

Step-by-step explanation:

Hope it helps!!!

Answer:

 10

Step-by-step explanation:

[tex]\mathrm{Apply\:rule}:\quad \:a-\left(-b\right)=a+b[/tex]

[tex]-6-\left(-16\right)=-6+16[/tex]

[tex]=-6+16[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-6+16=10[/tex]

Hence, Answer = 10

~Lenvy

Answer:

Your answer is: y= -2x+7

Step-by-step explanation:

Hope this helped : )

The equation of a line that goes through the points (8, -9) and (-4, 15) is y = -2x + 7

The formula for calculating the equation of a line is expressed as y = mx+ b

m is the slope of the line

b is the y-intercept

Given the coordinate points (8, -9) and (-4, 15)

Get the slope of the line;

[tex]m =\frac{15-(-9)}{-4-8}\\m=\frac{24}{-12} \\m = -2[/tex]

Get the y-intercept of the line

Recall that y = mx + b

15 = -2(-4) + b

b = 15 - 8

b = 7

Get the required equation in the form y = mx + b

y = -2x + 7

Hence the equation of a line that goes through the points (8, -9) and (-4, 15) is y = -2x + 7

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Answer:

Jackson: 8p + 2c = 58

Cooper: 4p + 5c = 49

Step-by-step explanation:

p= popcorn

c= candies

When you write this equation, have the cost on one side of the equation and the coefficients on the other.

The range of the function c = 50t + 200 is given by [200, ∞).

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let c represent the distance travelled in t hours, hence:

c = 50t + 200

The range of the function c = 50t + 200 is given by [200, ∞).

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Answer:

Slope is 1/2

Step-by-step explanation:

up one, right 2

How I learned it: Rise/ Run

Hope that helps!

Answer:

1/2

Step-by-step explanation:

Slope is defined as rise over run. In the graph, you can see that for every 2 units in the positive x-direction, there will be 1 unit in the positive y-direction. Therefore, the answer is change in x/change in y = 1/2

Answer:

B

Step-by-step explanation:

(9 × 10) + (5 × 1) + (7 × [tex]\frac{1}{10}[/tex] ) + (1 × [tex]\frac{1}{100}[/tex] ) ← evaluate each parenthesis

= 90 + 5 + [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{100}[/tex] ( convert fractions to decimal fractions )

= 95 + 0.7 + 0.01

= 95.71

Answer:

C cannot make a triangle

Step-by-step explanation:

One of these choices does not have 3 angles adding to 180.

A) adds to 180 degrees

B) B also adds to 180 degrees.

C) Adds to 169 degrees, so this set of 3 does not make a triangle.

D) Adds to 180

Answer: 2

Step-by-step explanation:

Answer:

Unlike the previous problem, this one requires application of the Law of Cosines.  You want to find angle Q when you know the lengths of all 3 sides of the triangle.

Law of Cosines:  a^2 = b^2 + c^2 - 2bc cos A

Applying that here:

                          40^2 = 32^2 + 64^2 - 2(32)(64)cos Q

Do the math.  Solve for cos Q, and then find Q in degrees and Q in radians.

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

this is an isosceles triangle, which mean that PRQ and PQR are equal.

all sides of a triangle equal 180.

using this, you can make the following equation:

x + (2x + 15) + (2x + 15) = 180

combine like terms

5x + 30 = 180

subtract 30 from both sides

5x = 150

divide both sides by 5

x = 30

Answer:

The first choice is correct. ii only.

Step-by-step explanation:

A rigid transformation changes the location of the shape without changing its size. There are three basic rigid transformations: reflections, rotations, and translations.

We are given these properties:

i. Increases or decreases the size of the figure

ii. Moves the location of the figure.

iii. Changes the shape of the figure.

Let's analyze each choice below:

O ii only . This is true. The other two properties are non-rigid transformations. Correct

O i and ii . This is not true. Increasing or decreasing the size of the figure is a non-rigid transformation. Incorrect.

O ii and iii. Changing the shape of the figure is a non-rigid transformation. Incorrect.

O i, ii, and iii. Properties i and iii are non-rigid transformation. Incorrect.

Answer:

Step-by-step explanation:

We are expected to solve for the amount off the reader after 40% discount and  $25 refund(rebate)

Now given that the book is $150

40% of 150

=(40/100)*150

=0.4*150

=$60

The total amount off includes the markdown and rebate.

the total amount is

60+25=$85

Answer:

compound fraction

Step-by-step explanation:

When a “normal” fraction contains fractions in either the numerator or denominator or both, then we consider it to be a complex fraction. This type of fraction is also known as a compound fraction. There are two methods used to simplify such kind of fraction.

Answer:

x> -200

Step-by-step explanation:

Answer:

[tex]90 \sqrt{2} [/tex]

Step-by-step explanation:

This is a 45°-45°-90° right triangle, so the length of the hypotenuse is √2 times the length of a leg. Since both legs have length 90, the hypotenuse has length 90√2. So y=90√2.

Answer:

y=−2x+5

Step-by-step explanation:

y=mx+b

Answer:

-8n+7

Step-by-step explanation:

Answer:

-8n+7

Step-by-step explanation:

Answer:

i think it is b i am not sure

Step-by-step explanation:

Answer:

$648.

Step-by-step explanation:

$400+50% = $600

$600+8%=$648

Answer:

daughter = 9yrs

mother = 27yrs

Step-by-step explanation:

let age of daughter be x

age of mother = 3x

by qsn,

three yrs ago,

4 (x-3) = 3x-3

4x-12 = 3x-3

4x-3x = -3+12

× = 9 yrs (age of daughter )

3x = 3×9 = 27 yrs ( age of mother)

Answer:

3

Step-by-step explanation:

Divide 1kg or 1000g by 350 and round up to the next integer. That's it.

Answer:

3 packages

Step-by-step explanation:

350+350=700

700+350=1100

1000 grams=1 kilograms

Answer:

-2,-4=12 That is the answer of that question

Answer:

Angles are congruent if they have the same angle measure in degrees. Try this Adjust any angle below by dragging an orange dot at its ends. The other angle will change to remain congruent with it. Angles are congruent if they have the same angle measure in degrees.

Step-by-step explanation:

Hope this helps!

Answer:

The definition of a congruent angle, is a shape which all angles are equal and the same as each other. A square has a congruent angle, because all the angles are 90 degrees.

Step-by-step explanation:

Didn't really understand what you meant, but I hope this helps you understand it better! <3

Answer:

4.61549

Step-by-step explanation:

radius=circumference/2 3.14=29/2*3.14=4.61549

Answer:

22

Step-by-step explanation: