Suppose a parabola has vertex (–8, –7) and also passes through the point (–7, –4). Write the equation of the parabola in vertex form.
a.y=(x+8)^2-7
b.y=3(x-8)^2-7
c.y=3(x+8)^2-7
d.y=3(x+8)^2+7

Answer:

the answer to this question would be 47.5

Answer:

[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]

Step-by-step explanation:

Center of the ellipse is at origin (0, 0)

So (h, k) = (0, 0)

Length of major axis = 12

2a = 12

⇒ a = 6

Length of minor axis = 8

⇒ 2b = 8

⇒ b = 4

Since focus is on the x-axis, so it's a horizontal ellipse.

Equation of the horizontal ellipse is in the form of,

[tex]\frac{(x-h)^{2} }{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

By substituting the given values of a, b, and (h, k)

[tex]\frac{(x-0)^{2}}{6^2}+\frac{(y-0)^2}{4^2}=1[/tex]

[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]

Answer:

A

Step-by-step explanation:

edge

By setting up and solving the equation 4x = 5x - 4, we can find the value of x. Substituting the value of x into the expression for AM or MB, we can find the length of AB.

In order to find AB, we need to solve for x since AM and MB are given in terms of x. Since line L bisects AB at point M, AM and MB should be equal. So, we can set up the equation 4x = 5x - 4 and solve for x.

4x = 5x - 4

-x = -4

x = 4

Now that we have the value of x, we can substitute it back into one of the expressions for AM or MB to find the length of AB. Using AM = 4x, we have AB = AM + MB = (4 * 4) + (5 * 4 - 4) = 16 + 16 = 32.

Therefore, AB is 32 units long.

https://brainly.com/question/31408211

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Answer:

1,395 sq feet

Step-by-step explanation:

lets start with the area of the green cube b×h. 15×15=225. 225×5= 1125. I got five because there are 5 visible faces on the cube. to find the area of a triangle you use the formula 1/2 bh 9×15= 135 multiply that by 2 instead of one half because you have four triangular faces. add your areas together and you get 1395

Answer: 1465

Step-by-step explanation:

225 base

225 for each wall  (x4)

540 area for the top

Answer:

The ratio is 16/65

Step-by-step explanation:

In this question, we are tasked with calculating what ratio represents the cosine of the angle  Q.

In a right angled triangle, there are usually three sides, the hypotenuse, the opposite and the adjacent. Also, there are three angles, 2 asides the ∠90°. The hypotenuse is the longest side which faces the ∠90°, the opposite is that side facing the angle we are interested in while the adjacent is the third side.

Hence we can have only a single hypotenuse, which is the longest side, two opposites(depending on the angle we are concerned about and two adjacents two based on the angle of interest

Firstly, please check attachment for diagrammatic representation.

The ratio for the cosine of an angle is = length of adjacent/length of hypotenuse

From the diagram, with respect to angle Q, the length of the adjacent is 16 while the length of the hypotenuse is 65.

Thus, the ratio representing the cosine of angle Q is 16/65

Answer:

180-(4a+32)=48-4a

(142-4a)+39+(a+41)=180

-4a+a=180-142-39-41

-3a= -48

a=-48/-3

a=16

Answer:

x=9

Step-by-step explanation:

Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:

7x+49=2x+94

7x-2x=94-49

5x=45

x=45/5

x=9

Answer:

He walked 2.75 miles in one hour         (distance in miles)

He walked 2 miles 3960 feet  in one hour           (distance in feet and miles)

He walked 14520 feet  in one hour                  (distance in feet)

Step-by-step explanation:

Using proportion to solve;

Let x be the distance(in mile) walked in one hour

11 miles = 4 hours

  x         = 1 hour

cross-multiply

4×x = 11

4x = 11

Divide both-side of the equation by 4

4x/4 = 11/4

At the right-hand side of the equation, 4 will cancel-out 4 leaving us with just x

x =2.75 miles

He walked 2.75 miles in one hour

Converting it to feet and miles

1 mile = 5280 feet

0.75 mile  =  y

y = 0.75×5280

   =3960 feet

he walked 2 miles 3960 feet  in one hour

To convert  it to feet

1 mile = 5280 feet

2.75 miles  = x

x = 2.75×5280

x = 14520 feet

he walked 14520 feet  in one hour

The probability of choosing one white sock and then another white sock from a drawer of 16 socks with 8 being white is 7/30, calculated by multiplying the probability of each event: (1/2) * (7/15).

Initially, there are 8 white socks out of 16 total socks in the drawer. After putting one white sock aside, there are now 7 white socks left out of 15 total socks in the drawer.

The probability for each event is calculated separately:
The probability of picking a white sock first: 8/16 or 1/2.
Then the probability of picking another white sock: 7/15.

To find the overall probability of both events occurring in sequence (one after the other), we multiply the probabilities of the two independent events:

(1/2) * (7/15) = 7/30.

So the correct answer is A. 7/30.

Answer:

.3333333

Step-by-step explanation:

There are 10 shirts

6 blue and 4 green

P (blue) =  blue shirts/ total

                6/10 = 3/5

Then there are 9 shirts left 5 blue and 4 green

P(blue) = blue shirts / total

              5/9

P(blue, no replace, blue) = 3/5 * 5/9 = 1/3

Answer:

The two triangles are related by SAS so the triangles are congruent by SAS

Step-by-step explanation:

The angle that is the same is between the two sides that are the same

The triangle is congruent by SAS

Answer:

It is 5 km/hour

Step-by-step explanation:

Let w represents the speed of the water

The speed can be found by following:

→ distance = speed x time → speed = distance / time (1)

If the boat goes downstream the total speed of the boat is the speed of the boat in still water + the speed of the water. Substitute the values into equation 1:

→ (the speed of the boat in still water + the speed of the water) = 120 / 4

Since the speed of the boat in still water is 25

→ 25 + w = 120 / 4

→ w + 25 = 30

→ w = 5

Answer:

Negative 0.5

Step-by-step explanation:

i just took the test and got the awnser right.

Answer:

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

[tex]h(x)=-3(x-3)^2+108[/tex]

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

[tex]h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters[/tex]

The height of the hovercraft at takeoff is 81 meters.

Answer:

4. 2 triangular faces, 9 edges, and 6 vertices

6. 2 rectangular faces, 12 edges, and 8 vertices

Step-by-step explanation:

Please mark brainliest :)

Answer:

D - 150

Hope it helped :)

Answer:

150=w

Step-by-step explanation:

The answer is a little bit wordy. w = the sum of 85 + the supplement of 115.

So the first thing to do is get the supplement of 115.

180 - 115 = 65

w = 85 + 65 (These two are the remote interior angles. W is equal to the sum of them).

w = 150

Answer:

<

Step-by-step explanation: Since it just said you have less than and not equal to you can say its only less than.

Answer:

< Is the correct answer

Answer:

y=1/2x+4/3

Step-by-step explanation:

1.) subtract -3x to the side the 3x is on and then put it on the side that has the 8 on it

2.) write it out as 6y=-3x+8

3.) divide by six to the whole problem

4.) simplify

Answer: 3

Step-by-step explanation:

Evaluate is a fancy word for putting the value assigned into the equation and see what result you get.

[tex]-2x^2-4x+3\\x=-2[/tex]

[tex]-2(-2)^2-4(-2)+3\\-2(4)+8+3\\-8+8+3\\3[/tex]

To evaluate the expression −2x²−4x+3 for x=−2, substitute x with -2 and perform the operations: square x, multiply by -2, multiply -4 by x, and add the results to get the final answer of 3.

To evaluate the expression
−2x²−4x+3 when x=−2, we need to substitute x with −2 and then follow the order of operations, which is to perform exponentiation before multiplication and addition.

Thus, −2x²−4x+3 evaluates to 3 when x is −2.

1/2 = 2/4 = 3/6,4/8,5/10,6/12,7/14, etc.

Add 1 to the numerator. Add 2 to the denominator.

Answer:

Equivilent fractions of 2/4 include the following: 1/2, 3/6, 4/8, 5/10.

Step-by-step explanation:

The fraction 2/4 can be simplified to 1/2, because 2 is half of 4. And since 3 is half of 6, it can also be simplified to 1/2, making the fractions 2/4 and 3/6 equal to eachother.

I hope that makes sense :)

Answer:

see below

Step-by-step explanation:

(5x-6)^2

This means

(5x-6)*(5x-6)

FOIL

First: 5x*5x = 25x^2

outer:  5x*-6 = -30x

inner -6*5x = -30

last -6*-6 = 36

Add these together

25x^2 -30x-30x +36

Combine like terms

25x%2 -60x+36

Answer:

A) (x+8)(x-3)

Step-by-step explanation:

this is the answer

Answer:Dudley is 50 feet from the flagpole.

Step-by-step explanation:

The situation is represented in the attached diagram. FL represents the flagpole.

A represents the position of Asher.

B represents the position of Baxter.

C represents the position of Cranby.

D represents the position of Dudley.

Looking at the diagram, Dudley is at the same level with Asher but eastwards of the flagpole. The distance of Dudley from the flagpole would be

100 - 50 = 50 feet

Final answer:

Dudley is 100 feet east from the flagpole after the friends have each moved from their starting positions.

Explanation:

The question describes four friends at different locations in relation to a flagpole, and we are asked to determine how far Dudley is from the flagpole after following the described steps by the friends. To solve this, we can visualize or draw a diagram to represent the positions of friends and use the Pythagorean theorem to find the distance Dudley is from the flagpole.

First, let's determine the position of Cranby.

Since Baxter moved 50 feet north from Asher's position and then Cranby moved 100 feet east from Baxter's position, we can see that Cranby is 100 feet east and 50 feet north of the flagpole.

Dudley, standing 50 feet south of Cranby, would thus be at the same north-south position as the flagpole but still 100 feet to the east.

Therefore, Dudley is 100 feet east of the flagpole.

Answer:

14.2, 2.8

Step-by-step explanation:

Answer:

25+(The number)

Step-by-step explanation:

doing quests, sorry luv. but what does it look like?

C. 104°. The measure of arc QR is equal to 104°.

In Mathematics and Euclidean Geometry, the inscribed angle of a circle is equal to one-half of the central angle or intercepted arc of a circle. This ultimately implies that, the measure of an inscribed angle is one-half the measure of the arc it intercepts based on the inscribed angle theorem.

Since angle S intercepts arc QR, the measure of the angle substended by the intercepted arc can be modeled by the following mathematical equation:

m∠S = 1/2(arc QR).

52 = 1/2 × arc QR

Arc QR = 2 × 52

Arc QR = 104°.

Complete Question:

Find the measure of arc QR.

A. 26°

B. 52°

C. 104°

D. 128°

Answer:99/1

Step-by-step explanation:110% = 1.1

1.1 * 90 = 99

99= 99/1

Answer:

2.7

Step-by-step explanation:

its the answer trust me

Answer:

144π or 452.16

Step-by-step explanation:

Use the equation  V = πr²h  and solve for V to find volume

V = π(6)²(4)

V = 144π or 452.16