CDEF is a parallelogram. Solve for x. ​

Answer:

See below (and attached file)

Step-by-step explanation:

The value of [tex]a[/tex] in the equation [tex]y=a(x-h)^2+k[/tex] represents how much a vertical parabola will stretch or compress, as well as whether it opens upward or downward:

If [tex]0<|a|<1[/tex], it is a horizontal stretch

If [tex]|a|>1[/tex], it is a horizontal compression

If [tex]a<0[/tex], the parabola opens downward

If [tex]a>0[/tex], the parabola opens upward

The file attached shows a graph with different examples of what happens to a parabola when the value of [tex]a[/tex] changes.

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 6) into the partial equation

6 = 6 + c ⇒ c = 6 - 6 = 0

y = 2x ← equation of line

The equation of line that passes through the point (3,6) with slope 2 is;

⇒ y = 2x

Given that;

The point is (3, 6)

The slope of line = 2

We have to find the equation of a line that passes through the point (3,6) with slope 2.

What is equation of line?

The equation of line that passes through the point (x₁, y₁) with slope m is;

y - y₁ = m (x - x₁)

The point is (3, 6)

The slope of line = 2

The equation of line that passes through the point (x₁, y₁) = (3,6)

with slope(m) = 2 is;

y - y₁ = m (x - x₁)

y - 6 = 2 (x - 3)

y - 6 = 2x - 6

Add 6 on both sides;

y = 2x

Hence, The equation of line that passes through the point (3,6) with slope(m) 2 is;

⇒ y = 2x

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Answer:

 (a) 9:15

  (b) 6:9

Step-by-step explanation:

Total apples: 15

6 : green

9 are red

9:15

6:9

Answer:

(a) 3 : 5

(b) 2 : 3

Step-by-step explanation:

= 9 apples

= 9 : 15

for simplified form dividing numerator and denominator by 3

= 3 : 5

= 6 : 9

for simplified form dividing numerator and denominator by 3

= 2 : 3

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

Answer:

linear

don't forget to follow me

Answer:

Mean=85.5

Median=82

Mode=82

Range=25

Please would you mind marking me as the brainliest:)

Answer:

Mean: 85

Median: 82

Mode: 82

Range: 25

Step-by-step explanation:

The mean is the average of all of the numbers. You add all of the numbers together and then divide by the total amount of number you have. In this case you have 8 scores. So you add all the scores together, and then divide by 8:

82 + 78 + 82 + 80 + 100 + 96 + 75 + 91 = 684

684/8 = 85.5

So 85 is the mean.

The median is the number that is in the middle of all of the numbers listed. To do this, first list the numbers in order:

75, 78, 80, 82, 82, 91, 96, 100

The two numbers in the middle are both 82. So, 82 is the median.

The mode is the number that appears the most. In this problem, you can see that the number 82 appears twice. So 82 is the mode.

The range is the highest number minus the smallest number. Here, the highest number is 100. The smallest number is 75. So,

100 - 75 = 25

25 is the range.

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Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.

Answer:

B and D are correct

Step-by-step explanation:

Imagine if c, b, and k were equal to 5.  Then, multiply to figure out how much Mia earned.  Solve the rest of the equations while still using 5 in place of the variables.  If they are the same as your first answer, it is right

Answer:

6.3 is closest to the square root of 48

I bet you!

Answer:

6.9

Step-by-step explanation:

[tex]\sqrt{48}[/tex] =6.92820323

So, the closest is 6.9

Answer:

21

Step-by-step explanation:

Given that :

Number of rooms = 3

Variants of paint available = 7

Since the rooms will be painted with different colors :

Hence,

Number of possible paintings for kitchen = 7 (7 different paints)

This also applies to the other 2 rooms

Hence,

We have 3 * 7 = 21 color arrangements possible.

Answer:

-207

Step-by-step explanation:

assume the answer is x

x=15*-16*-23*-1

=-240+23

=-207

answer:

−5520x³

step by step explanation:

15 x ( − 16 ) x ( − 23 ) x ( − 1 )

= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )

= − 5520 * x³

= − 5520x³

Answer:

8 hours

Step-by-step explanation:

Equation: y = 7x + 11

67 = 7x + 11

Subtract 11 from both sides;

56 = 7x

Divide both sides by 7;

x = 8

Answer:

y = 2x - 5

y = -x + 1

Step-by-step explanation:

y = 2x - 5

y = -x + 1

the systems have one solution

=> (2, -1)

Answer:

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Step-by-step explanation:

[tex]2x^{2} + x^{3}(\frac{6x}{10} )[/tex]

[tex]2x^{2} + x^{3}(\frac{3x}{5} )[/tex]

[tex]2x^{2} + \frac{3xx^{3}}{5}[/tex]

[tex]\\ 2x^{2} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )}{5} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )+3x^{4}}{5}[/tex]

[tex]\frac{10x^{2} +3x^{4}}{5}[/tex]

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Answer:

38

Step-by-step explanation:

Answer:

f(x+3) +7

Step-by-step explanation:

We move the green graph 3 units to the left f(x-h)  where h is how many units moved.  We are moving 3 units to the left so h is -3  f(x - -3)

f(x) becomes f(x+3)

Then we move up 7 units

f(x) +k where k is the number of units up or down

f(x+3) +7

Answer:

x ≥5  or  5 ≤x

Step-by-step explanation:

2x ≤ 5x - 15

Subtract 5x from each side

2x-5x ≤ -15

-3x ≤-15

Divide each side by -3, remembering to flip the inequality

-3x/-3 ≥ -15/-3

x ≥5

Check x=10

2*10 ≤5*10 -15

20 ≤50 -15

20 ≤35

True

Answer:

no idea

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

take the derivative and set to zero

c prime = -5 + .25x

0 = -5 + .25x

.25x = 5

x=20

Step-by-step explanation:

write what you know

P = 1,000

n = 5 years

Plan 1

i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%

write and solve

future value = p(1+i)^n = 1000(1+0.24)^5

plan 2

i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%

write and solve

future value = p(1+i)^n = 1000(1+0.20)^5

Answer:

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

Step-by-step explanation:

[tex] \Large{\boxed{\sf F = 1.2 \times 10^{-12} \: N}} [/tex]

[tex] \\ [/tex]

The gravitational force in between two objects can be calculated using the following formula:

[tex] \boxed{\sf F = G \times \dfrac{m_1 \times m_2}{d^2}} [/tex]

Where:

[tex] \\ [/tex]

[tex] \Large{\sf Given \text{:} \begin{cases} \sf m_1 &=\sf 5 \: kg \\ \sf m_2 &=\sf 9 \: kg \\ \sf d &=\sf 50 \: m \\ \sf G &= \sf 6.67 \times 10^{-11} \: N.m^2.kg^{-2} \end{cases}} [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf F = 6.67\times 10^{-11} \times \dfrac{5 \times 9}{50^2} = \boxed{\boxed{\sf 1.2 \times 10^{-12} N}} [/tex]

[tex] \\ \\ [/tex]

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Option 'D' is the correct option.

The correct diagram for Beyunka creating is given in option D.

What is Right triangle?

When an angle of a triangle is measure 90 degree then the triangle is called a right triangle.

Given that;

Beyunka is creating a diagram to prove that certain triangle is a right triangle.

Since, The right triangle is satisfy the Pythagoras theorem.

Now, By option D;

Let sides of a triangle are,

Hypotenuse (H) = c

Perpendicular side (P) = a

Then, The base of the right triangle = √H² - P² = √c² - a²

And, All other diagrams are not satisfy the Pythagoras theorem.

Thus, The correct diagram for Beyunka creating is given in option D.

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Answer:

0.6858 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]12(4x - 5) + \frac{5}{2}=10[/tex]

Multiply the whole equation by 2

[tex]2*12(4x -5) + \frac{5}{2}*2=10*2\\\\24(4x-5) + 2 = 20\\[/tex]

24*4x - 5*24 + 2 = 20

96x - 120 + 2 = 20

 96x - 118 = 20

Add 118 to both sides

       96x = 20 +118

       96x = 138

Divide both sides by 96

x = 138/96  = 23/16

[tex]x = 1 \frac{7}{16}[/tex]

Answer:

I think the answer for this is A.

Step-by-step explanation:

since 25$ is added to get the everyday cost.

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²

Answer:

x = 2

Perimeter = 22 cm

Area = 21 cm²

Step-by-step explanation:

=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;

6x - 4 = 8

6x = 8 + 4

6x = 12

x = 12/6

x = 2

Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;

Side 1 + Side 2 + Side 3 = Perimeter

8 + 8 + 6 = Perimeter

22 = Perimeter

Lastly to find the Area of the triangle, follow the formula of;

A = 1/2 (b * h)

A = 1/2 (6 * 7)

A = 1/2 (42)

Area = 21

Hope this helps!

Answer:

Note*: I included the given ones.

Top row: 64^1 — 64^1/2 — 64^ 1/3 — 64^0 — 64^-1/2 — 64^-1

Bottom row: 64 — 32 — 4 — 0 — 1/8 — 0.015625

Answers:

You may need to leave off the "square units" portion.

=============================================

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

P = 2(L+W)

2(L+W) = P

2(3x+x+5) = 66

2(4x+5) = 66

8x+10 = 66

8x = 66-10

8x = 56

x = 56/8

x = 7

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

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.