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Answer:

slope: 3

y-intercept: 1

slope-intercept form equation: y = 3x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)

all you have to do now is solve for b.

first, multiply 3(3).

10 = 3(3) + b

10 = 9 + b

then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.

10 - 9 = b

1 = b aka b = 1

and now you have your b value!

so your slope is 3 and your y-intercept is 1.

i hope this helps! have a nice rest of your day <3

Answer:

97.7°

Step-by-step explanation:

Supplementary angles are angles that add up to 180° together so 180-82.3=97.7

Answer:

i got 7ft for the answer

Step-by-step explanation:

The length of the unknown side of the triangular frame is 7 ft.

"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."

From the drawn triangle

According to the law of cosines

[tex]x^{2} =3^{2} +5^{2} +2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]cos 120^{0}[/tex]

⇒ [tex]x^{2} =9+25+2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]\frac{1}{2}[/tex]

⇒ [tex]x^{2} = 9+25+15[/tex]

⇒ [tex]x^{2} = 49[/tex]

⇒ [tex]x = \sqrt{49}[/tex]

⇒ [tex]x = 7[/tex]

Hence, the length of the unknown side of the triangular frame is 7 ft.

Learn more about triangle here

brainly.com/question/9528438

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Answer:

A . altitude

Step-by-step explanation:

Answer:

6cm

Step-by-step explanation:

lenght of the room divided by the Number of meters a cm corrisponds to: 12/2=6cm

lenght on floor plan = 6 cm

Answer:

$31.53

Step-by-step explanation:

I used a calculator

Answer:

The answer is 5.33( infinite 3)

Step-by-step explanation:

Hope this helps

Answer:

5.33

Step-by-step explanation:

Two thirds of 8 is simply two thirds times 8, which can be written as follows:

Two/thirds x 8

Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:

2/3 x 8 = 5.33

To make it a parallelogram, the diagonals have to bisect each other (6x=3x+2)

Calculate and you will get x = 2/3

The value of x that makes the quadrilateral a parallelogram is 2/3.

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

We have a quadrilateral.

To show that the quadrilateral is a parallelogram:

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

That means,

6x = 3x + 2

3x = 2

x = 2/3

Therefore, the value of x is 2/3.

To learn more about the parallelogram;

https://brainly.com/question/29133107

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Answer:

150%

Step-by-step explanation:

(95 - 38)/38 x 100

57/38 x 100

1.5 x 100 =

150 percentage change

Hope this helps :)

Answer:

1/20 kilogram of flour is in each bag.

Step-by-step explanation:

(1/2)/10=(1/2)(1/10)=1/20

Answer:

C = 81.7 units

Step-by-step explanation:

C = 2[tex]\pi[/tex]r

r = d/2 = 26/2 = 13

C = 2[tex]\pi[/tex](13)

C = 81.7 units

Answer:

1. the third one

2. the third one

3. the fourth one

5. the second one

Step-by-step explanation:

Answer:

1)7x+1

2)10a-(a-5)

3)Twice the sum of two different numbers

4)2x/x-1

Hope I helped!!!

Answer:

D. 125*125​ (15625)

Step-by-step explanation:

5⁶ = 5*5*5*5*5*5 = 125*125 or 15625

Answer:

Where the information

Step-by-step explanation:

Answer:

Yes, correct

Step-by-step explanation:

Answer:

14,593 -> 39,541: Correct!

Step-by-step explanation:

Answer:

-10 + 2i

Yes, it is imaginary

Step-by-step explanation:

[tex](-2+4i) - (8+2i) \\ \\ = - 2 + 4i - 8 - 2i \\ \\ = - 2 - 8 + 4i - 2i \\ \\ = - 10 + 2i[/tex]

Answer

1.5

Step-by-step explanation:

order the numbers then tick one of each side until you get to the middle of the number if there is two numbers then you add then divide by 2 if there is one number then it stays the same

Answer: a. ( 1, 6 )

Step-by-step explanation:

If you go into desmos and plot your function you can go to each of the points in your answers and see just where the point is touching the line

Answer:

b. x = 80, y = 100, z = 63

Step-by-step explanation:

Answer:

-0.4-4y

Step-by-step explanation:

-0.5(0.8+8y)

Distribute -0.5 into the parentheses

= -0.5×0.8+(-0.5)×8y

= -0.4+(-4y)

A negative and a positive make a negative

= -0.4-4y

I hope this helps!

Answer:

11455

Step-by-step explanation:

you add it up and that is what you will get

Answer:

91.204 cubic feet

Step-by-step explanation:

We are given that

Height of great pyramid, h=480feet

Side of square base, a=755  feet

Height of Danny's pyramid, h'=480/100 feet

Side of square base of Danny's pyramid, a'=755/100 feet

We have to find the volume of Danny's pyramid if the volume of Danny's pyramid is 1/100 the size of great pyramid.

We know that

Volume of square base pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Where a= Side of base

h=Height of pyramid

Using the formula

Volume of Danny's pyramid=[tex]\frac{1}{3}\times(755/100)^2(480/100)ft^3[/tex]

Volume of Danny's pyramid=91.204 cubic feet

Answer: a

Step-by-step explanation:

Because i said so

9514 1404 393

Answer:

  a)  $215,892.50

  c)  $220,803.97

  e)  $222,534.58

  f)  $222.554.09

Step-by-step explanation:

The compound interest formula is ...

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.

When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.

__

For continuous compounding, the formula is ...

  FV = Pe^(rt)

  FV = 100,000e^(0.08·10) = 222,554.09

Answer:

3.1w

Step-by-step explanation:

Answer:

a = 5

b = 6

Step-by-step explanation:

These two options seem the most likely! :)

Step-by-step explanation:

a) 2+3=5

2/5 * 80= 32

3/5 * 80= 48

b) 5+7= 12

5/12 * 156= 65

7/12 * 156= 91

c) 4+5=9

4/9*384=170.67

5/9*384=213.34

d) 1+2+3=6

1/6*1.62=0.27

2/6*1.62=0.54

3/6*1.62=0.81

e) 1+1+4=6

1/6*96=16

1/6*96=16

4/6*96=64

Answer:

X(−64/3, 0); 8/3

Step-by-step explanation:

To find the coordinates of the point X, first find the scale factor for a dilation of two similar triangles in the coordinate plane

To determine the scale factor, set up a ratio of the lengths of two corresponding sides of the triangles.

Use the Distance Formula d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ to find the length of the sides JK and JW.

Point J is the origin. Thus, the coordinates of the point J are (0,0).

It is given in the figure that the coordinates of the point K are (0,6).

To find JK, substitute x1=0, x2=0, y1=0, and y2=6 into the distance formula.

JK=(0−0)2+(6−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=62‾‾√=6

The length of JK is 6.

It is given in the figure that the coordinates of the point W are (0,16).

To find JW, substitute x1=0, x2=0, y1=0, and y2=16 into the distance formula.

JW=(0−0)2+(16−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=162‾‾‾‾√=16

The length of JW is 16.

To determine the scale factor, set up a ratio of the lengths of two corresponding sides, JW and JK, of the triangles.

JWJK=166=83

The scale factor is 83.

To find the coordinates of the point X multiply the coordinates of the point L by the scale factor.

It is given in the figure that the coordinates of the point L are (−8,0).

X(−8⋅83,0⋅83)=X(−643,0)

The coordinates of the point X are (−643,0).

The figure shows the same triangles K J L and W J X as in the beginning of the task. Point X is at minus 64 thirds, zero.

Therefore, the coordinates of X is (−643,0) and the scale factor is 83.

Answer:

idr

Step-by-step explanation: