Write an equation for a line that passes through (2,5)
and (6, 7).

Answer:

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line

Answer:

[tex]\frac{17}{18}[/tex]

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

Answer: 30:25

Step-by-step explanation:

notice how there are 6 yellow and 5 blue

so if we multiply both by 5 then we get

30:25

The answer is X>-2. I uploaded a picture of the steps below. Hope this helps. :)

Yes it would be 3,053.63 units^3.

But in our case, from the choices above, it would be (A. 972 pie units^3)

hope this helps.

Step-by-step explanation:

The volume of a sphere with a radius of 9 units is,

⇒ Volume of sphere = 339.12 units³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of sphere = 9 units

Now, We know that;

⇒ Volume of sphere = 4/3 πr²

Radius = 9 units

Hence, We get;

⇒ Volume of sphere = 4/3 πr²

⇒ Volume of sphere = 4/3 × 3.14 × (9)²

⇒ Volume of sphere = 339.12 units³

Thus, The volume of a sphere with a radius of 9 units is,

⇒ Volume of sphere = 339.12 units³

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Answer:

a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6

Step-by-step explanation:

a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.

tan58=84/x

find x by dividing 84 by tan58, and you get 52.5ft.

b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.

multiply 131 by tan17, and you get x=40.1 feet.

c) This question wants you to find the length of the slide, (basically the hypotenuse).

given the angle to be 46, do sin46=9/x

since sin is opp/hyp

9/sin46= 12.5ft

d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.

tan^-1=(16/5)=theta

x=72.6 hope this helps!

Answer:

Step-by-step explanation:

The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

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Answer:The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

What is a double number line?

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

Is the double number line correct?

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

0, 4, 8, 12 (multiples of 4), which means 3 does not match.

The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

Which expression finds the measure of an angle that is coterminal with a 45° angle?

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

Then,

The coterminal angle with 45°,

When k = 0

Then,

[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]

When k = 1

Then,

[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]

When k = -1

Then,

[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]

Hence, The measure of an angle that is coterminal with a 45A°+360A°.

For more details about the Coterminal angle refer to the link given below.

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Answer:

Step-by-step explanation:

24.5 just multiply hope that helpss

Answer:

This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.

Step-by-step explanation:

Answer:

undercoverage bias

Step-by-step explanation:

9

Step-by-step explanation:

woody is 5

buzz is 3

mr potato head is 3

rex is 7

alien is 1

Answer:

Step-by-step explanation:

Part A:

y=1.5x+4.25

Part B:

16.25=1.5x+4.25

Minus 4.25 from both sides

12=1.5x

Divide both sides by 1.5 and you will get x=8

Answer:

( X - 2 )(3x + 5)  For 3x^2-x-10

Step-by-step explanation:

Answer:

a. 54, b. 117, c. 63

Step-by-step explanation:

a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees

b. Angle 8 corresponds to angle 14, which is 117 degrees.

c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees

Answer:

a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees

Step-by-step explanation:

A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54

B. <14 = <8, 117 = 117

C. <7 + <8 = 180, 180 - 117 = 63

Answer:

Answer: 31

Step-by-step explanation:

[tex]{ \rm{45 - ( {}^{ + } 14)}} \\ \\ = { \rm{45 - 14}} \\ \\ = { \rm{31}}[/tex]

Answer:

31

Step-by-step explanation:

(45)-(+14)

This is asking us to take 45 [(45)] and subtract 14 [-(+14)]

That is 45 - 14 = 31

The expression "-(+14)" is a deliberate attempt to confuse.  It says "subtract a positive 14."  There was no need to add the "+" sign in the parentheses, since a positive value is always assumed.  But it was added here to promote heartburn and the sale of TUMS.  When I see something like "-(+10000)," I immediately change it to "-10000" and move on, adding one demerit to the author of the problem.

Answer:

answer is

Step-by-step explanation:

Answer:

final answer is: ABC, A (-5,1), B (-4,6) and C (-1,4)

Step-by-step explanation:

Original: ABC, A (2,-1), B (1,4) and C (-2,2)

translate 3 units to the right and 2 units up: ABC, A (5,1), B (4,6) and C (1,4)

reflected over the x-axis: ABC, A (5,-1), B (4,-6) and C (1,-4)

rotated 180°: ABC, A (-5,1), B (-4,6) and C (-1,4)

Answer:

y + 5z

Step-by-step explanation:

Hope this helps!

Answer:

Line a and b

Step-by-step explanation:

Answer:

[tex]\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}[/tex]

Step-by-step explanation:

Per = 1

[tex]\frac{1}{4}[/tex]

So, if we were to solve:

[tex]\frac{1}{4}=\frac{5}{6x}[/tex]

[tex]\frac{1}{4}\cdot \:6x=1\cdot \:5[/tex]

[tex]\frac{3}{2}x=5[/tex]

[tex]\frac{3}{2}x\cdot \:2=5\cdot \:2[/tex]

[tex]3x=10[/tex]

[tex]\frac{3x}{3}=\frac{10}{3}[/tex]

[tex]x=\frac{10}{3}[/tex]

Troy can make [tex]\frac{10}{3}[/tex] dozen of cupcakes.

Answer:

Answers are below.

Step-by-step explanation:

Hope this helps:)

Answer:

22.5

Step-by-step explanation:

You take the unit rate and multiple that by how many hours are going by. 4.5x5

Answer:

IN 15 days

Step-by-step explanation:

EASY

MARK AS BRAINLIEST

Answer:

in december 23-24

Step-by-step explanation:

i gueess

Answer: 49

Step-by-step explanation:

Answer:

c is my opinion

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

trust me.

Answer:

43/10 pounds = 4 3/10 pounds

Step-by-step explanation:

for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.

Answer:

Step-by-step explanation:

It must be option D because an isosceles triangle always have two angles the same measure and must be a total of 180°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Let other two angles be x

[tex]\\ \tt\Rrightarrow x+x+100=180[/tex]

[tex]\\ \tt\Rrightarrow 2x+100=180[/tex]

[tex]\\ \tt\Rrightarrow 2x=80[/tex]

[tex]\\ \tt\Rrightarrow x=40[/tex]

Option D is correct

Answer:

suma is 229,997

Step-by-step explanation:

229,997

Answer:

it is D

Step-by-step explanation:

For knowing it, it is necessary to draw straight line above the triangle from the middle of the sides, forming a 90° degree angle. But as they are already drew, it is easier

Given ΔABC with points A, B and C on the circle, the circumcenter of the triangle is point D.

Circumcenter of a circle is the point where the perpendicular bisectors on the sides of the triangle, whose vertices touch the circumference of the circle, intersect.

Perpendicular bisector of a line segment is another line segment which makes an angle of 90 degrees with it and divide the line segment into two equal parts.

In the given figure, we have triangle ABC.

A, B and C vertices touch the circle.

We need to find the circumcenter of the circle.

The sides of the triangle ABC are AB, BC and AC.

The perpendicular bisectors of the sides AB, BC and AC are ED, GD and FD respectively. We can verify so from the figure.

The point where the three perpendicular bisectors meet is the point D, again from the figure, thus, clearly point D is the circumcenter of the triangle.

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