“Write an equation in standard form of the horizontal line that goes through (-7, 10)”

Answers:

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Explanation:

Refer to the diagram below.

The segment AB is the player's height of 6 ft.

The segment CD is the hoop's height, which is 10 ft.

There is a point E on CD such that rectangle BACE forms. This will help us form ED later.

Angle EBD is what we're after, which I'll call x.

Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.

In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.

Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.

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To summarize, we found that ED = 4 and EB = 15.

We'll focus our attention entirely on triangle EBD

We have two known legs of the triangle, specifically the opposite and adjacent sides.

So we'll use the tangent ratio.

tan(angle) = opposite/adjacent

tan(B) = ED/EB

tan(x) = 4/15 .... is the equation to solve

x = arctan(4/15) .... same as inverse tangent or [tex]\tan^{-1}[/tex]

x = 14.931417 ..... make sure to be in degree mode

x = 15 ..... rounding to the nearest whole degree

So that unknown angle in the diagram is approximately 15 degrees

Answer:

y = -1x -4

Step-by-step explanation:

The point slope equation is y - y1 = m(x -x1).

You will have to plug in the points (-3, -1) and (2, -6).

y - (-1) = m (x - (-3))

To find "m", find y over x.

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

m = (-6 + 1)/(2 + 3)

m = -5/5

m = -1

Then plug in "m"

y + 1 = -1(x + 3)

then distribute the "m" into the parenthesis and isolate y or subtract 1 from both sides.

y + 1 = -1x - 3

y = -1x -4

Answer:

y² + 11y + 18

Step-by-step explanation:

y² + 9y + 2y + 18

y² + 11y + 18

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Explanation:

The two points mentioned in bold are midpoints of segments AB and AC respectively.

To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.

For example, points A and B are at (7,6) and (1,-2)

If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.

A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.

180 ÷3 = 60 ° (angles on a straight line equals to 180 ° )

a+b+60 =180°

a+ b= 180 ° - 60° = 120°

(a+b) are 2 variables

so 120 ÷2 =60 °

therefore a and b =60 °

c +b+ 60° = 180° ( co - interior angles are supplementary angles )

c+60° +60° =180°

c +120° =180°

c =180°-120°

c=60 °

d=60° (alternate angles are equal )

or

c+b+d=180°

60° +60° + d = 180°

d=180°-120°

d=60°

Answer:

oi ngl levi is hawt I like your pfp ^^

Step-by-step explanation:

my name is Riley

Answer:

Height is equal = Y = 1.8 X + 3.1 = 2.3 X + 1.9

=> 2.3 X - 1.8 X = 3.1 - 1.9

=> 0.5 X = 1.2

=> x = 1.2/0.5 = 2.4

Time = 2.4 weeks

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

-14 > x - 32

Add 32 to both sides;

18 > x OR x < 18

Answer:

4

Step-by-step explanation:

y = kx

Use point (3, 12).

12 = k * 3

k = 12/3 = 4

y = 4x

Answer: 4

Divide y by x:

12/3 = 4

36 / 9 = 4

The constant of variation is 4

Answer:

LN ≈ 14.2

Step-by-step explanation:

Given that the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{LN}{IK}[/tex] = [tex]\frac{MN}{JK}[/tex] , substitute values

[tex]\frac{LN}{41}[/tex] = [tex]\frac{9}{26}[/tex] ( cross- multiply )

26 LN = 9 × 41 = 369 ( divide both sides by 26 )

LN = [tex]\frac{369}{26}[/tex] ≈ 14.2 ( to the nearest tenth )

Answer:

C, 40 degrees

Step-by-step explanation:

All the angles of a triangle add to 180 degrees according to the Triangle Sum Theorem.

Since all angles sum to 180, we can set all the values to add to 180.

We have:

[tex]2y+y+10+50=180[/tex]

Combining like terms, we have:

[tex]3y+60=180[/tex]

Subtracting 60 from both sides gets us

[tex]3y=120[/tex]

Dividing by 3 from both sides equals

[tex]y=40[/tex]

Answer:

I think the value of y is 40

Step-by-step explanation:

Answer:

Yes, its a rational number.

Step-by-step explanation:

Rational numbers can be whole numbers, fractions, and decimals, and in this case it is a decimal.

Hope this helped!

Answer: yes

Step-by-step explanation:

yes 1.86 is a rational number

Answer:

8.90

Step-by-step explanation:

this and the other answers are the rounded ones

Answer:

a.) x=7 or x=-11

b.) x=−2 or x=−8

Step-by-step explanation:

a)  x² + 4x – 77 = 0

Step 1: Factor left side of equation.

(x−7)(x+11)=0

Step 2: Set factors equal to 0.

x−7=0 or x+11=0

x=7 or x=−11

b.) x(x + 4) = -2(3x + 8)

Step 1: Simplify both sides of the equation.

x^2+4x=−6x−16

Step 2: Subtract -6x-16 from both sides.

x^2+4x−(−6x−16)=−6x−16−(−6x−16)

x^2+10x+16=0

Step 3: Factor left side of equation.

(x+2)(x+8)=0

Step 4: Set factors equal to 0.

x+2=0 or x+8=0

x=−2 or x=−8

Answer:

a) {-11, 7}.

b) {-8, -2}

Step-by-step explanation:

a) x^2 + 4x - 77 = 0

To factor this we need 2 numbers whose product is -77 and sum is + 4.

They are + 11 and - 7, so:

( x + 11)(x - 7) = 0

x + 11 = 0 or x - 7 = 0

x = -11,  7.

b) x(x + 4) = -2(3x + 8)

x^2 + 4x = -6x - 16

x^2 + 4x + 6x + 16 = 0

x^2 + 10x + 16 = 0

(x + 2)(x + 8) = 0

x = -8, -2.

Answer:

81/16

Step-by-step explanation:

(⅔)-⁴

81/16

= 5.0625

Answer:

Solution given:

6a+[4(2 + a) +2/3 (3a)]

Substitute value

6*5+[4(2 + 5) +2/3 (3*3)]

Use BODMAS rule and solve

30+[4*7+2/3*

30+[28+6]

30+34

64

Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.

Answer:

The answer is "[tex]\bold{f(n) = 70n + 5}[/tex]"

Step-by-step explanation:

The complete question is defined in the attached file Please find it.  

She started driving further east, 70 kilometers an hour, 5 km east of her home. Allow f(n) at the outset of its nth hour drive to just be Prachi's length from home.

F is a series of arithmetic.

Construct the series with an explicit formula.

[tex]\bold{f(n) = 70n + 5}[/tex]

Answer:

Arithmetic and it is f(n)=5+70(n-1)

Step-by-step explanation:

Khan Academy

Answer:

x=1

Step-by-step explanation:

f(x)=5x−4

f(x) = 1

1 = 5x - 4

Add 4

1+4 = 5x-4+4

5 = 5x

Divide by 5

5/5 = 5x/5

1 = x

Answer:

no solution

Step-by-step explanation:

-4|-2x+6|=24

Divide each side by -4

-4/ -4|-2x+6|=24/-4

|-2x+6|=-6

The absolute value must be greater than or equal  to zero

There is no solution

Answer

The IQR of the data set is 368.

Explanation

To find the interquartile range, you first need to find the median of the data set. Then, you find the median of the median and subtract them. This might be a little confusing but I'll walk through everything.

First, put the data set in order from least to greatest; 21 78 90 111 381 456 676. Find the median. The median of this data set is 111, since it is the middle number when the data set is ordered from least to greatest.

To find the Q1 and Q3 of the set, you have to find the median of the median.

The set right now is 21 78 90 111 381 456 676. Remove the 111 (if there were an even amount of numbers in the set, you wouldn't remove the 111 and you would just split the data set in half). Now you have two sets: 21 78 90 and 381 456 676. The median of the first set is 78 (this is the Q1) and the median of the second set is 456 (this is the Q3).

To find the interquartile range, subtract the Q1 from the Q3. 456-78=368.

Answer: 1/2

Step-by-step explanation:

there are 6 sides all together and 3 of those are multiples of two. this fraction is 3/6 but that can be simplified to 1/2

Answer:

1/2

Step-by-step explanation:

For this we will be assuming a die size of six. With that in mind, all even numbers are divisible by two. There are a total of three numbers on a six sided die, those being two, four, and six. We then put this number over the total possibilities, which would be six. It is good form to simplify, which we can. We take three out from our 3/6 to leave us with 1/2.

Answer:

The choose (B)

[tex] \frac{4 {x}^{2} }{12 x^{2} - 4 } \\ \frac{4 {x}^{2} }{4(3 {x}^{2} - 1)} \\ \frac{ {x}^{2} }{3 {x}^{2} - 1} [/tex]

Hello!

Sharpened => 35

Unsharpened => 84-35 = 49

Good studies!

Answer:

7: 5

Step-by-step explanation:

unsharpened to sharpened

First we need to determine the number of unsharpened

84 - 35 =49

There are 35 sharpened

49:35

Divide each by 7

49/7 : 35/7

7: 5

Answer:

A or C

Is my best I got stuck A or C

Answer:

[tex]\text{C. about }72.05\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

This is a very fun problem that requires the use of multiple concepts to solve.

Concepts/formulas used:

The measure of an inscribed angle is equal to half the measure of the arc it forms. In circle Z, [tex]\angle XVY[/tex] is an inscribed angle that forms arc XY. Since XY is 40 degrees, angle XVY must be [tex]40\div 2=20^{\circ}[/tex].

Similarly, [tex]\angle VYX[/tex] is also an inscribed angle and forms arc XV. Notice how arc XY and arc XV form arc VY, which is half the circumference of the circle, since segment VY is a diameter of the circle. Since there are 360 degrees in a circle, arc VY must be 180 degrees. Therefore, we have:

[tex]\widehat{XY}+\widehat{XV}=180^{\circ},\\\widehat{XV}+40^{\circ}=180^{\circ},\\\widehat{XV}=140^{\circ}[/tex]

Now we can find the measure of angle VYX, using our knowledge that the measure of an inscribed angle is half the measure of the arc it forms.

[tex]m\angle VYX=\frac{140}{2}=70^{\circ}[/tex]

Now, we have two angles of triangle VXY. Since the sum of the interior angles of a triangle add up to 180 degrees, the third angle, [tex]\angle VXY[/tex], can be found:

[tex]\angle VXY+\angle VYX+\angle XVY=180^{\circ},\\\angle VXY+20^{\circ}+70^{\circ}=180^{\circ},\\\angle VXY+90^{\circ}=180^{\circ},\\\angle VXY=90^{\circ}[/tex]

We can now use this angle and the Law of Sines to find the length of segment VY. The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is maintained throughout all angles of the triangle).

Since angle VXY's opposite side is VY and angle VYX's opposite side is VX, we have the following proportion:

[tex]\frac{\sin 70^{\circ}}{9}=\frac{\sin 90^{\circ}}{VY}[/tex]

Recall that [tex]\sin 90^{\circ}=1[/tex]. Cross-multiply:

[tex]9\sin 90^{\circ}=VY\sin 70^{\circ},\\9=VY\sin 70^{\circ},\\VY=\frac{9}{\sin 70^{\circ}}[/tex]

This is the diameter of the circle. By definition, all radii are half the diameter. Therefore, the radius of the circle is [tex]\frac{9}{\sin 70^{\circ}}\cdot \frac{1}{2}=\frac{9}{2\sin 70^{\circ}}[/tex].

The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. Substitute [tex]r=\frac{9}{2\sin 70^{\circ}}[/tex] to get the area of circle Z:

[tex]A=(\frac{9}{2\sin 70^{\circ}})^2\pi,\\A\approx (4.78879997614)^2\pi,\\A\approx 22.9326052115\pi,\\A\approx \boxed{72.05\:\mathrm{cm^2}}[/tex]

Answer:

Length = 4.88

Step-by-step explanation:

Given

[tex]MR = 6.8cm[/tex]

[tex]AS = 7cm[/tex]

First, we calculate the lengths of each side of the rhombus.

Diagonals of a rhombus are bisected at right-angled.

So, the lengths (x,y) of the right-angled triangle formed are:

[tex]x = \frac{1}{2}MR = \frac{1}{2} * 6.8 = 3.4[/tex]

[tex]y = \frac{1}{2}AS = \frac{1}{2} * 7 = 3.5[/tex]

The length of the sides (z) is calculated using:

[tex]z^2 = x^2 + y^2[/tex]

[tex]z^2 = 3.4^2 + 3.5^2[/tex]

[tex]z^2 = 11.56 + 12.25[/tex]

[tex]z^2 = 23.81[/tex]

Take square roots

[tex]z = \sqrt{23.81[/tex]

[tex]z = 4.88[/tex] --- approximated

Answer:

x=10

Step-by-step explanation:

I hope this will help you

9514 1404 393

Answer:

Step-by-step explanation:

1. The value can be read from the graph. At 3 units to the right of the vertical axis, the line is 3 units above the horizontal axis. The independent variable has a value of 3 at that point.

__

2. The dependent variable has a value of -5 at the next grid line just below the bottom of the graph shown. The value of the independent variable is -1 at that point.