9. Find the midpoint of the segment having endpoints (2.9,−4.4) and (4.4,−2.9).

Answer:

y = -x/2 + 2

what are those mutli choice answers?

if that point is (6,1)

y = -x/2 + 4

Step-by-step explanation:

the perpendicular line has a gradient which is the negative inverse, that is -1/m

so the equation will be of the form y = -x/2 + c

substituting in the point (6, -1)

-1 = -6/2 + c

c = 2

so y = -x/2 + 2

Answer:

b=20

Step-by-step explanation:

[tex] {b}^{2} = {c}^{2} - {a}^{2} \\ b = \sqrt{ {25}^{2} - {15}^{2} } \\ b = 20[/tex]

Answer:

See below ~

Step-by-step explanation:

Completing the square :

Graph :

Answer:

x = 9(y - 1)² + 1

see attached for graph

Step-by-step explanation:

Given equation:

9y² - x - 18y + 10 = 0 ​

As there is a y² in the equation, this implies it is a sideways parabola.

To complete the square for a sideways parabola, collect the y variable terms on the left and everything else on the right:

⇒ 9y² - 18y = x - 10

Factor out the leading coefficient from the left side:

⇒ 9(y² - 2y) = x - 10

Take the coefficient of y, half it, then square it:  (-2 ÷ 2)² = 1

Add this inside the parentheses, and add the distributed value of this to the right side:

⇒ 9(y² - 2y + 1) = x - 10 + 9

Factor the parentheses and simplify the right side:

⇒ 9(y - 1)² = x - 1

Add 1 to both sides to make x the subject:

⇒ x = 9(y - 1)² + 1

Conic form of a sideways parabola with a horizontal axis of symmetry:

x = a(y - k)² + h

(where (h, k) is the vertex and y = k is the axis of symmetry)

If a > 0, the parabola opens to the right, and if a < 0, the parabola opens to the left.

Therefore, for  x = 9(y - 1)² + 1

To find the x-intercept, set y = 0 and solve for x:

⇒ x = 9(0 - 1)² + 1

⇒ x = 9(-1)² + 1

⇒ x = 9(1) + 1

⇒ x = 10

Therefore, the y-intercept is (10, 0)

As the axis of symmetry is y = 1, the other value of y when x = 10 is y = 2

Plot the vertex and points. Add an axis of symmetry to help draw the curve.  Draw the parabola opening to the right.

**graph attached**

Answer:

[tex]4^{4}[/tex]

[tex](-7)^{6}[/tex]

5x5x5x5

Step-by-step explanation:

The exponent sign shows how many times you will multiply the base number by itself

[tex]4^{4}[/tex] is saying "multiply 4 by itself 4 times" which is the same as 4x4x4x4

[tex](-7)^{6}[/tex] is saying "multiply -7 by itself 6 times" which is the same as -7x-7x-7x-7x-7x-7

The cylinder is a three-dimensional shape and it has a radius, diameter and a height

Assume the square has the following dimensions:

Base dimensions = x

Height = h

Assume the cylinder has the following dimensions:

Radius  = r

Height = h

When the square is drilled out, the lateral surface area would be:

Lateral Area = Cylinder - Square

This gives

[tex]Lateral = 2\pi rh - 4xh[/tex]

Factor out 2h

[tex]Lateral = 2h( \pi h - 2x)[/tex]

Using the same dimensions in (a), we have:

Total surface Area = Cylinder - Square

This gives

[tex]Area = 2\pi r(r +h) - 2(2x^2 - xh)[/tex]

Factor out 2

[tex]Area = 2[\pi r(r +h) - (2x^2 - xh)][/tex]

Using the same dimensions in (a), we have:

Base area = Cylinder - Square

So, we have:

[tex]Base = \pi r^2 - x^2[/tex]

Using the same dimensions in (a), we have:

Volume = Cylinder - Square

So, we have:

[tex]Volume = \pi r^2h - x^2h[/tex]

Factor out h

[tex]Volume = h(\pi r^2 - x^2)[/tex]

Read more about cylinder at:

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Answer:

[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]

Build a proportional equation:

[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]

[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]

[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]

[tex]\rightarrow \sf 100 = 6x+60[/tex]

[tex]\rightarrow \sf 40= 6x[/tex]

[tex]\rightarrow \sf x = 40/6[/tex]

[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]

[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

Answer: 25 - (6 + n)

The number 25 is decreased by and sum of number.

The numbers are 6 and n, Their Sum = (6 + n)

When 25 is decreased by this sum of numbers

Answer:

25 - (6+n)

Step-by-step explanation:

Important terms:

Finding the answer

We want to find a word phrase that matches the expression, 25 decreased by the sum of 6 and a number.

Using the terms we just defined we know that the sum of 6 and a number would be 6 + n. ( as again sum = addition or total amount of )

25 is being decreased by the sum of 6 and n so in other words the sum of 6 + n is being subtracted by 25 which would result us in getting 25 - (6+n)

Why the "6+n" must be in parenthesis

The 6 + n must be in the parenthesis because the individual sum of those two numbers is being subtracted from 25.

Answer:

49.5

Step-by-step explanation:

you multiply the height and base then divide that awnser by 2

Answer:

x = -4/3

Step-by-step explanation:

4 - 2x = x + 8

4 - 3x = 8

-3x = 4

x = -4/3

Answer:

-3. -5

-2. -4

-1. -3

0. -2

1. -1

formula is f(x)=x-2

Answer:

still don't get it

Step-by-step explanation:

but please write it in an understanding meaning

Answer:

8 cm

Step-by-step explanation:

because when it's reduced we multiply the side length by 1/3 * 6 = 2cm and the volume will equal v = a^3 = 2^3 = 8cm

Answer:

8cm

Step-by-step explanation:

step1: 6/3=2

volume of a cube =x*x*

v

:=8cm

v=2×2×2

vvv v

The measure of each angle is 43.25 and 46.75

The attached image represents the missing piece in the question.

From the image, we can see that:

3x - 13 + 5x - 47 = 90 ---- complementary angles

Evaluate the like terms

8x = 150

Divide by 8

x = 18.75

Substitute x = 18.75 in the given angles

3x-13 = 3 * 18,75 - 13 = 43.25

5x -47 = 5 * 18.75 - 47 = 46.75

Hence, the measure of each angle is 43.25 and 46.75

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The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

From the complete question, we have the following expressions:

(-x²+2x+3) and (-x²-2x-1)

Add both expressions

(-x²+2x+3) + (-x²-2x-1)

Expand

-x²+2x+3 -x²-2x-1

Collect the like terms

-x² -x² + 2x - 2x + 3 -1

Evaluate the like terms

-2x²+2

Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

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Step-by-step explanation:

3,740,231,580

we normally start rounding from the end so the last number should be checked. If it's not more than 5, then make it a zero and move on to the next. if it's more than five, make the number zero and add 1 to the the next number. So this is how it will look.

3,740,231,580

3,740,231,580

3,740,231,590

3,740,231,600

3,740,232,000

3,740,230,000

3,740,200,000

3,740,000,000

And I think that's it

Answer:

You find the volume of a cylinder with the formula of π × r² × h

Answer:

197.92034

Step-by-step explanation:

V=πr2h=π·32·7≈197.92034

Answer:

(amounts could be:)

Katia: $3.50

Mateo: $1.75

Step-by-step explanation:

Remember that a quarter = $0.25, 4 quarters = $1.00

after an hour of playing games in the arcade, Katia has $1.75 more than Mateo

lets say that Katia has (random amount)$3.50(14 quarters) and Mateo has $1.75 less than that.

$3.50 - $1.75 = $1.75

The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

The figure is a trapezoid with the following parameters:

Area = 107.95

Base= 12

Height = 12.7

Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

So, we have:

0.5 * (12 + Length) * 12.7 = 107.95

Evaluate the product

(12 + Length) * 6.35 = 107.95

Divide both sides by 6.35

12 + Length = 17

Subtract 12 from both sides

Length =  5

Hence, the length of the trapezoid is 5 units

Read more about areas at:

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Answer:

the answer to this question should be 14.85

Answer:

133.3 <-- goes on forever

I think the rest are in decimal form.

Answer:

6000 pounds or lbs.

Step-by-step explanation:

A ton=2000 lbs.

Hope this helps! ;-)

Answer:

It would take 8 hours to drive 360 miles.

Step-by-step explanation:

360/45=8
D=R*T

Answer:

We are given a length of 9 cm and a width of 4 cm and we are also told that it our shape is a rectangle.  This means that we are able to use the rectangle formula which is [tex]A=l*w[/tex].

Therefore, we can just multiply 9 cm by 4 cm and we get [tex]A = 36\ cm^2[/tex]

Hope this helps!  Let me know if you have any questions

324

Step-by-step explanation:

roughly about that much

The model could be improved by using a step function.

Answer:

[tex]2(n-3)=2n-6[/tex]

Step-by-step explanation:

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

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

We can make an infinite amount of other similar triangles just by changing the scale factor.