What is the missing measure?

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

31/4 or 7 3/4

Step-by-step explanation:

10 - 2 1/4

10 - 9/4

(40-9)/4

31/4 or 7 3/4

hope it helps :)

mark brainliest!!

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The value of the side length x is equal to 14 using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

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Answer:

j=13, g=20.8, h=24

Step-by-step explanation:

The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula (\(a^{2} + b^{2} = c^{2}\)) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be \(a\sqrt{3}\). The a is 12 since it is the smallest value. So therefore, g is \(12\sqrt{3}\), which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24

Answer:

i think it C

Step-by-step explanation:

Answer:

sure... i dont understand is there a question??

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

  y = 1/2sin(2x)

Evaluate the expression.

(10.5 - 7) + (4 × 3)

15.5

please look at the attached picture :)

Answer

A - 30

B - 70

C - 30

D - 120

E - 30

Step-by-step explanation:

This is off the top of my head

Answer:

15

Step-by-step explanation:

Its Enlargement

27/9 = 3

so 3x5= 15

Answer:

Step-by-step explanation:

Required equations are:

Since d is same for both, we substitute d and solve for x:

They will be at same distance after 3 minutes

Time be x distance be y

Solve for x

Answer:

Luis

Step-by-step explanation:

One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.

Answer:

10.

Step-by-step explanation (the required tall of the tree is AQ):

1) ΔBCP ~ ΔBAQ, it means BC/AB=CP/AQ=BP/BQ;

2) BC/AB=CP/AQ, it means 4/20=2/AQ, then AQ=2*20/4=10 [m].

Answer:

\((f-g)(x)=2x-3\)

Step-by-step explanation:

We are given the two functions:

\(f(x)=3x-1\text{ and } g(x)=x+2\)

And we want to find:

\((f-g)(x)\)

This is equivalent to:

\(=f(x)-g(x)\)

By substitution:

\(=(3x-1)-(x+2)\)

Simplify. Distribute:

\(=(3x-1)+(-x-2)\)

Rearrange:

\(=(3x-x)+(-1-2)\)

Therefore:

\((f-g)(x)=2x-3\)

Answer:

2n+7

Step-by-step explanation:

 +2  +2  +2  +2

9     11  13  15  17  so we start with 2n

2 ➡ 9 = +7   6 ➡ 13 = +7

4 ➡ 11 = +7   8 ➡ 15 = +7

So the answer is 2n + 7

Answer:

Step-by-step explanation:

10 + 8x =10003

8x = 10003 - 10

8x = 9993

X = 9993 ÷ 9

Step-by-step explanation:

Rearrange = 10 + 8 x =10003

                      8x + 10 = 10003

 subtract both= 8x + 10 = 10003

                          8x + 10 -10= 10003-10

 simplify=  subtract the number  8x = 999

Divide the both number = 8x = 9993

                                         8x/8 =993/8

And them simplify it again = x = 9993/8

Hey there! :)

Answer:

y = 7/2x - 11

Step-by-step explanation:

Use the slope formula to calculate the slope:

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

Plug in the coordinates:

\(m = \frac{10-(-4)}{6-2}\)

Simplify:

\(m= \frac{14}{4}\)

\(m = \frac{7}{2}\)

Slope-intercept form is y = mx + b. Plug in the slope, as well as the coordinates of a point given to solve for b:

10 = 7/2(6) + b

10 = 42/2 + b

10 = 21 + b

10 - 21 = b

b = -11.

Write the equation:

y = 7/2x - 11

Answer:

C

Step-by-step explanation:

3x+2-x>8

2x+2>8

2x>8-2

2x>6

x>3

Answer:

C

Step-by-step explanation:

Answer:

x^2

Step-by-step explanation:

\(x^4\cdot x^{-2}= \\\\x^{4-2}= \\\\x^2\)

Hope this helps!

Answer:

\(x^{2}\)

Step-by-step explanation:

\(x^4 \times x^{-2}\)

\(x^{4+-2}\)

\(x^{4-2}\)

\(x^{2}\)

Answer:

h = 6 feet

Step-by-step explanation:

It is given that,

Area of a triangle, A = 18 sq feet

Base of the triangle, b = 6 feet

We need to find the height of the triangle. The area of a triangle can be given by the formula as follows :

\(A=\dfrac{1}{2}\times b\times h\)

h is height

\(h=\dfrac{2A}{b}\\\\h=\dfrac{2\times 18}{6}\\\\h=6\ \text{feet}\)

So, the height of the triangle is 6 feet.

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

9514 1404 393

Answer:

  3x -5y = 4

Step-by-step explanation:

The coefficients are mutually prime integers in standard form. Here, a common factor of 8 can be removed from all of them. The result is ...

  3x -5y = 4

Answer:

I think it's this ( 40y+32/24) {See Below For More}

Step-by-step explanation:

Move all constant terms to the right-hand-side

24x=32+40y

Move all constant terms to the right-hand-side

X= 40y+32

24

The Equation Is Solved With:

X 1 = 40y+32

24

Solution Of The Equation:

X1= 40y+32

24

Answer:

No

Step-by-step explanation:

I don't think it is proportional

Here it is not proportional.

What is proportional?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.

Here given that,

\(y=-\frac{5}{9x}\)

Here it is not proportional.

To know more about proportional

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well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

Answer:

Step-by-step explanation:

3x^2 = -12

x^2 = -4

x = ±√-4

this equation has no real solutions

Answer:

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