Guided Practice

Write the equation of the parabola in vertex form. The vertex is (−3, −4) and the parabola passes through the point (−1, 0).

Start with vertex form.
y = a(x − h)2 + k

Using the vertex (−3, −4), substitute h = –3 and k = −4.
y = a(x − (−3))2 + (−4)
y = a(x + 3)2 + (−4)

Substitute the included point (−1, 0) into the equation for x and y.
0 = a(−1 + 3)2 − 4

Simplify the equation to solve for a.
0 = a(2)2 − 4


Type your answer and then click or tap Done.

Complete the equation for the parabola in the graph.

Incorrect feedback has been removed from the screen.
y = Fill in the blank text field 1
(x + Fill in the blank text field 2
)2 – Fill in the blank text field 3

Answer: 34 days

Step-by-step explanation:

To find out the amount of pages he needs to read each day at the rate of 6 pages/day is 204/6. (we divide 204 by 6 because that is 215-11, since he already read 11 pages) this is 34

Answer:

24.1333333

Step-by-step explanation:

Answer: hey

Step-by-step explanation: hyd

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Answer:

Step-by-step explanation:

We have to assume you intend everything to the right of the slash (/) to be denominator. Ordinarily, only the first factor would be considered denominator according to the Order of Operations.

ab/cd = (ab/c)d . . . according to the order of operations.

__

The degree of the numerator or denominator is essentially the number of factors involving x.

1. The numerator has 3 factors, hence degree 3. The denominator has 2 factors, hence degree 2. The degree of the numerator is 1 more than the degree of the denominator, so the function will have a slant asymptote.

  degrees: num/den = 3/2

__

2. The numerator has 2 factors, hence degree 2. The denominator has one binomial factor and 3 factors of x, hence degree 4. The degree of the denominator is higher than the degree of the numerator, so the function will have y = 0 as its horizontal asymptote.

  degrees: num/den = 2/4 --- y = 0 horizontal asymptote

__

3. The numerator has 2 factors, as does the denominator. Hence the degree of each is 2. The horizontal asymptote will be a constant equal to the ratio of the leading coefficients: y = 5/3.

  degrees: num/den = 2/2

Answer:

1 / 2

Step-by-step explanation:

the answer is a fraction.

you can find this by going "up 1 over 2"

Answer:

it means that you whould turn it the other way so the L looking shape would be turning the other way.

Answer:

72

Step-by-step explanation:

3x12=36

36x2=72

Answer:

[tex]\frac{-3xy}{z^{2} }[/tex]

Step-by-step explanation:

[tex]\frac{-24x^{2}y^{5}z}{8xy^{4}z^{3} }[/tex]

Lets divide like terms

-24/8 = -3

[tex]x^{2}[/tex]/[tex]x^{1}[/tex] = [tex]x^{1}[/tex]

[tex]y^{5}[/tex]/[tex]y^{4}[/tex] = [tex]y^{1}[/tex]

[tex]z^{1}[/tex]/[tex]z^{3}[/tex] = [tex]z^{-2}[/tex]

After diving like terms you are left with:

[tex]\frac{-3xy}{z^2}[/tex]

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Answer:

  I and III   or   II and IV

Step-by-step explanation:

Translation shifts the figure horizontally and/or vertically without changing its orientation.

Figures I and III are translated vertically by 7 and horizontally by 7 with respect to each other.

Figures II and IV are translated vertically by 8 and horizontally by 7 with respect to each other.

Answer:

D

Step-by-step explanation:

Answer:first you subtract 10 - 3 and you get the answer which is 7.

Answer:

boyyy this is not the app for that

Answer:

Were both girls.

Step-by-step explanation:

Answer:

19. The answer is 19

Step-by-step explanation:

9 + 10 = 19

Answer:

21 lol

Step-by-step explanation:

jiosxzjlxcjncnjc nmcnjjksdjkcxjkcxmkxcmkncxmkdm

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Answer:

  y = 1/10x +2/10

Step-by-step explanation:

The slope-intercept equation can be found by solving for y.

  x +2 = 10y . . . . . add 2 to both sides

  1/10x +2/10 = y . . . . multiply both side by 1/10

  y = 1/10x +2/10 . . . . . . slope-intercept equation of the line

Answer:

13) x=7    

14) x=5

15) x=8

16) x=8

17) x=5

18) x=6

Step-by-step explanation:

13) 4=2x-10      4+10=2x           14=2x        7=x

14) 4=2x-6        4+6=2x            10=2x        5=x

15) 6=2x-10      6+10=2x           16=2x        8=x

16) 5=2x-11       5+11=2x            16=2x        8=x

17) 6=2x-4        6+4=2x            10=2x        5=x

18) 8=2x-4        8+4=2x            12=2x        6=x

Answer:

[tex]A=10cm^{2}[/tex]

Step-by-step explanation:

The formula to find the area of a trapezoid is,

Area = [tex]\frac{1}{2} *(a +b)*height[/tex]

(a+b) ⇒ Sum of the parallel sides

Let us solve now.

[tex]A =\frac{1}{2} *(a +b)*height[/tex]

[tex]A=\frac{1}{2} *(1\frac{1}{2} +3\frac{1}{2} )*4[/tex]

[tex]A=\frac{1}{2} *(\frac{3}{2} +\frac{7}{2} )*4[/tex]

[tex]A=\frac{1}{2} *(\frac{10}{2} )*4[/tex]

[tex]A=\frac{1}{2} *(5 )*4[/tex]

[tex]A=\frac{1}{2} *20[/tex]

[tex]A=10cm^{2}[/tex]

Hope this helps you.

Answer:

The area of trapezoid is 10 cm².

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\purple{Area_{(Trapezoid)} = \dfrac{1}{2}\Big(a + b\Big)h}}}}}}[/tex]

Solution :

Finding the area of trapezoid by substituting the values in the formula :

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\Big(a + b\Big)h}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(1 \dfrac{1}{2} + 3 \dfrac{1}{2}\bigg)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{(1 \times 2) + 1}{2} + \dfrac{(3 \times 2) + 1}{2}\bigg)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{2 + 1}{2} + \dfrac{6 + 1}{2}\bigg)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{3}{2} + \dfrac{7}{2}\bigg)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{3 + 7}{2}\bigg)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{10}{2}\bigg)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg( \cancel{\dfrac{10}{2}}\bigg)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\Big( \: 5 \: \Big)4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \times 5 \times 4}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{\cancel{2}} \times 5 \times \cancel{4}}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} =5 \times 2}}}[/tex]

[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} =10 \: {cm}^{2}}}}[/tex]

[tex]\star{\underline{\boxed{\frak{\red{Area_{(Trapezoid)} =10 \: {cm}^{2}}}}}}[/tex]

Hence, the area of trapezoid is 10 cm².

[tex]\rule{300}{1.5}[/tex]

Answer:

see below

Step-by-step explanation:

bisection mean cutting angles in half, making the angle cut in half congruent

m<ABD = m<CBD

3x + 6 = 7x - 18 (substitution)

24 = 4x (subtraction and addition)

x = 6 (division)

m<ABD = 18 + 6 = 24

m<CBD = 42 - 18 = 24

m<ABC = 24 + 24 = 48

Answer:

m∠ABD° = 24°

m∠CBD°  = 24°

m∠ABC°  = 48°

Step-by-step explanation:

Since [tex]\sf{\overrightarrow{BD}}[/tex] bisects ∠ABC, then it means that ∠ABD + ∠CBD = ∠ABC.

Hence, we can establish the following equality statement:

m∠ABD° = m∠CBD°

Substitute the values for both angles and solve for the value of x:

m∠ABD° = m∠CBD°

3x + 6 = 7x - 18

Subtract 3x from both sides:

3x - 3x + 6 = 7x - 3x - 18

6 = 4x - 18

Add 18 to both sides:

6 + 18 = 4x - 18 + 18

24 = 4x

Divide both sides by 4 to solve for x:

[tex]\large\mathsf{\frac{24}{4}\:=\:\frac{4x}{4}}[/tex]

x = 6

Substitute the value of x = 6 to find the measure of the following angles:

m∠ABD° = 3x + 6 = 3(6) + 6 = 24°

m∠CBD°  = 7x - 18 = 7(6) - 18 = 24°

m∠ABC°  = m∠ABD° + m∠CBD° = 48°

Answer:

1 liter= 1000 ml

12.8 L= x ml

12.8*1000=12800 ml

Step-by-step explanation:

your answer

Answer:

GB=7/2

OPTION B

See attachment

Answer:

Length of GB = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Length of GB = Length of GD

               [tex]\frac{1}{2}[/tex]x+1 = [tex]\frac{2x-3}{2}[/tex]

           2([tex]\frac{1}{2}[/tex]x+1) = 2([tex]\frac{2x-3}{2}[/tex])                

                x+2 = 2x-3

               x-2x = -3-2

                   -x = -5

                    x = 5

Hence, length of GB = [tex]\frac{2x-3}{2}[/tex]

                                  = [tex]\frac{2(5)-3}{2}[/tex]

                                  = [tex]\frac{10-3}{2}[/tex]

                                  = [tex]\frac{7}{2}[/tex]

Answer:

[tex]m = \frac{ - 5 - 1}{1 + 3} = - \frac{6}{4} = \color{green} \boxed{ - \frac{3}{2} }[/tex]

The average speed is 70 miles per hour and the instantaneous speed is 68

miles per hour.

The average speed is the total distance travelled divided by the elapsed time

while the instantaneous speed is the accurate speed covered by the object

at a given instant of time.

Mathematically,

average speed = total distance travelled by the object / total time taken by

the object

Instantaneous speed = distance of an instant / time of an instant.

Therefore,

The average speed is 70 miles per hour.

The instantaneous speed is 68 miles per hour.

learn more: https://brainly.com/question/13357071?referrer=searchResults

Answer:

5

Step-by-step explanation:

-3 to 0 = 3

0 to 2 = 2

3+2=5

Answer:

5

Step-by-step explanation:

the distance means how far is it from one point to another. So you start at -3 and you go 3 right to zero, then two more right to 2, for a total of 5.

Answer:

3.75

Step-by-step explanation:

12x-29=4x+1

8x=30

x=3.75

(15/4)

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Answer:

  (c)  20 feet

Step-by-step explanation:

At the water's surface, y=0. We want to find the values of x for that case.

  x^2 -20x -0 = 0

  x(x -20) = 0 . . . . . . factor

This has solutions x=0 and x=20. The difference between them is ...

  20 - 0 = 20

The dolphin is 20 ft from its starting point on the water's surface.

The dolphin will travel 20 feet from its starting point along the water's surface option third is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The dolphin dives down into the ocean and resurfaces along a path that is:

x² – 20x – 4y = 0

The dolphin path will be a downside parabola.

The starting point will be (0, 0) and the endpoint will be (20, 0)

The distance between these points:

[tex]\rm d=\sqrt{(0-0)^2+(20-0)^2}[/tex]

d = 20 feet

Thus, the dolphin will travel 20 feet from its starting point along the water's surface option third is correct.

Learn more about the parabola here:

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#SPJ2

Answer:

check the explanation

Step-by-step explanation:

Define the number of the items multiply

[tex]20 \times \frac{3}{4} \\ = 15 \\ \\ \frac{8}{3} \times \frac{3}{4} \\ = 2 \\ \\ 32 \times \frac{3}{8} \\ = 4[/tex]

To find weight per item:

[tex] \frac{7}{8} \times \frac{1 }{2} \\ \frac{7}{16} \\ \\ \frac{1}{2} \times \frac{1}{4} \\ \frac{1}{8} [/tex]

Step-by-step explanation:

[tex]3x + 2y = 14[/tex]

[tex]\Rightarrow 2y = - 3x + 14[/tex]

[tex]\Rightarrow y = -\frac{3}{2}x + 7[/tex]

Using the percentage concept, the amount saved by purchasing today is $135

Given the Parameters :

The amount saved saved by buying at the discounted price can be calculated thus :

Amount saved = $540 × 25%

Amout saved = $540 × 0.25

Amout saved = $135.

Hence, the amount saved by purchasing today is $135.

Learn more : https://brainly.com/question/25775672

Based on the information given the amount save by buying today is $135.

First step is to calculate the discount

Discount=540 - (25%×$540)

Discount=$540 - $135

Discount =$405

Second step is to calculate the amount save.

Saved amount=$540-$05

Saved amount=$135

Inconclusion the amount save by buying today is $135.

Learn more here:https://brainly.com/question/15817907

Answer:

The anser is 5 hop this helps sorry if it is wrong

Step-by-step explanation: