please help. i have no clue how to find the measure of each unknown variable using the pythagorean theorem. any tips will be appreciated <3 :)))

9514 1404 393

Answer:

  y = 1/2x + 1

Step-by-step explanation:

The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".

Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...

  m = rise/run = 2/4 = 1/2

The line crosses the y-axis at y=1, so the "y-intercept" is b=1.

These values can be put into the "slope-intercept form" equation for a line.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 1/2x + 1 . . . . . matches the required answer form

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Answer: 60.07*

Explanation:

I hope this helped!

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- Zack Slocum

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Answer:

C

Step-by-step explanation:

We are given

The student council earned $1.25 for every cup of hot chocolate it sold

and $0.75 for every cup of apple cider it sold

total number of cup is 375

We can see that first term is 1.25x

and we have

The student council earned $1.25 for every cup of hot chocolate

so, to find total cost of hot chocolate , we multiplied 1.25 with x

that's why

x must be the number of cups of hot chocolate sold

So the answer must be C

Answer:

$9.25

Step-by-step explanation:

Total cost = sum of cost of hot dogs, french fries and soda:

                 =  2($2.85/hot dog) +          1($2.35/fries)   +  1($1.20)

                  =  $5.70                    +        $2.35                + $1.20

                   = $9.25

Answer and Step-by-step explanation:

To find the value of y for when f(x) is equal to 2, we need to replace f(x) with 2 and set it equal to the rest of the function.

[tex]2 = (\frac{1}{2} )^x - 2[/tex]

First, add 2 to both sides.

[tex]4 = (\frac{1}{2} )^{x}[/tex]

Now, we see that we end up with a 4 and a [tex]\frac{1}{2}[/tex]. If we plug -2 in for x, we see that it makes the fraction flip, so that the 2 is at the top and the 1 is at the bottom, and the -2 becomes positive 2 (this is done to keep an equation proper, since negative exponents aren't proper in an equation/expression).

[tex]4 = \frac{1^{-2} }{2^{-2} } \\\\\\4 = \frac{2^2}{1^2}\\\\\\4 = \frac{4}{1} \\\\\\4 = 4[/tex]

So, x = -2.

Now we plug -2 in for x to find the value of y.

f(x) = [tex](\frac{1}{2}) ^{-2} - 2[/tex]

f(x) = 4 - 2

f(x) = 2

y = 2

So, the value of y is 2.

You may be wondering, why did we do all that work just to get the same thing we were given?

Well, this is the explanation for getting the value of y. We plug in the value for f(x), and solve for x. Then we plug x in and solve for f(x), which is also y.

#teamtrees #PAW (Plant And Water)

Answer:

15.9

Step-by-step explanation:

because the x side it's the same as 15 but it's slanted a little bit out so there is a bit more to 15

Answer:

A

Step-by-step explanation:

Answer:

A) x > 7

Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

So,

x > 7

Answer: 2203.96

Step-by-step explanation:

Answer:

x = 3 feet

Step-by-step explanation:

Perimeter of a rectangle = 2 x ( length + width)

Perimeter = 6x + 14

length = 3x

width = 2x + 1

Substitute the dimensions in the equation for the perimeter of a rectangle

2 (3x + 2x + 1) = 6x + 14

Divide both sides of the equation by 2

3x + 2x + 1 = 3x + 7

5x + 1 = 3x + 7

Collect like terms

2x = 6

divide both sides by 2

x = 3

Answer:

d=5 hope this helps :), if so, brainliest??!

Step-by-step explanation:

The two triangles are congruent and CD is 8 m and GF is 4 m

so triangle DCE is twice as big as the triangle GFE

since CE is 10 m, EF is 10/2= 5

therefore, d= 5

Answer:

4.5 cm

Step-by-step explanation:

Given that the end points of PG are given. Find the length of segment PQ using the Pythagorean theorom p(-4.3) and q(0,5)

Solution

Using the formula;

Length PQ = sqrt ( (X - x)^2 + ( Y - y)^2 )

Length PQ = sqrt( ( 0 + 4 )^2 + ( 5 - 3 )^2)

Length pq = sqrt ( 4^2 + 2^2)

Length PQ = sqrt ( 16 + 4 )

Length PQ = sqrt ( 20 )

Length PQ = 4.47 cm

Therefore , the length PQ is 4.5 cm approximately.

Answer:

3 whole 1/3

So to convert mixed to improper, you multiply the denominator with the whole number and then add your answer to THAT to the numerator

Like 3(d) x 3(w)=9

9(ans) + 1(n)= 10

So 10 is your answer and since the denominator always stays the same.it'll remain three and your final answer will be:

10/3

Step-by-step explanation:

7.

[tex]7 + \frac{m}{8} = - 2 \\ \frac{m}{8} = - 2 - 7 \\ \frac{m}{8} = - 9 \\ m = - 9 \times 8 \\ = - 72[/tex]

8.

[tex] \frac{ - 1}{5} k + 1 = 11 \\ \frac{ - k}{5} + 1 = 11 \\ \frac{ - k}{5} = 11 - 1 \\ \frac{ - k}{5} = 10 \\ - k = 10 \times 5 \\ - k = 50 \\ k = - (50) \\ = - 50[/tex]

9.

[tex] - 6 + \frac{1}{3} w = 0 \\ \frac{1}{3} w = 0 + 6 \\ \frac{1}{3} w = 6 \\ w = 6 \div \frac{1}{3} \\ = 6 \times 3 \\ = 18[/tex]

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Answer: y = 25

Explanation:

2x+5 = 3x - 33

x = 38

2x+5 + 4y-1 = 180

2(38) + 5 + 4y - 1 = 180

y = 25

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

32%

Step-by-step explanation:

[tex]71 \div 219 = 0.32[/tex]

Answer:

I don't see a question. If you're asking what ratio each final option would be, it would be D.

Answer:

-4/-3/-2/-1

Step-by-step explanation:

TGGGGGGGFFFGGGGGGGHTTGTGTGGGHTTGTGTGGTTG

Step-by-step explanation:

TTTGTGTGGGGGGTGDSDJSDQWINE33DHJJJK

Answer:

Step-by-step explanation:

{3 x + 4 = y, 3 x = 4 y + 11}

{y = 3 x + 4, y = (3 x)/4 - 11/4}

{2 (3 x - y) = -8, 4 y - 3 x = -11}

Answer:

? = 65°

Step-by-step explanation:

180 - 115 = 65°   (115° and 65° are supplementary angles)

180 - 65 - 50 = 65°     (all triangle interior angles total 180°)

Answer:

The angle at U is 65 degrees

Step-by-step explanation:

1. We know that a straight line is always 180 degrees..

2. We know that the total interior angle of a triangle is always 180 degrees...

With that in mind, we calculate:

First, we find the missing angle at T, (which is found to be 65 degrees), ( solveing for angle at T)

working out:

180= 115+ T

180- 115= 115-115+T

65. = 0 + T

65= T

Now knowing two angles in our triangle, we are now able to calculate the unknown angle ( angle U) using the two angles.

using our knowledge about interior angles of a triangle, we calculate:

180= angle T + anlge U + angle V

180= 65 + U + 50

180= 65+ 50 + U

180= 115 + U

180-115= 115-115 +U

65= 0 + U

65= U

Therefore, angle at U is 65 degrees...

Answer:

Step-by-step explanation:

2A:3B

= 5:6

3B:2C

= 36:15

A:C

= ?:?

2A/3B x 3B/2C

=5/6 x 36/15

=1/1 x 6/3

=1/1 x 2/1

=2

3B and 3B got canceled

For 2A and 2C, the 2 in front of A and C, got canceled as we are cross multiplying.

So I think the answer is

A:C

=1:1     ??

My answer could be wrong.

Answer:

-4x-10

hope it help

Answer:

-4x-10

Step-by-step explanation:

Answer:

2268 inches of fabric

Step-by-step explanation:

There are 36 inches in 1 yard. Therefore, we multiply 36 by 63 to get an answer of 2268.

Therefore, Emily bought 2268 inches of fabric

Answer:

2268 inches of fabric

Step-by-step explanation:

There are 3 feet in a yard

63*3 = 189 feet

To convert feet to inches, multiple by 12

189*12 = 2268

Answer:

$333.5

Step-by-step explanation:

First we have to find 45% of 230 and then add that value to 230

(we can also find 145% of 230, which is essentially the same thing)

so 45% of 230 is:

230*(45/100)= $103.5

230+103.5= $333.5

Answer:

[tex]11\sqrt{797}\pi[/tex]

Step-by-step explanation:

[tex]A=\pi r \sqrt{h^2+r^2}[/tex]

the radius is 22/2 = 11 in

h is 26 in

substitute: [tex]\pi \left(11\right)\sqrt{\left(26^2\right)+\left(11^2\right)}[/tex]

= [tex]11\sqrt{797}\pi[/tex]

Answer:

286π in²

Step-by-step explanation:

The lateral area (A) of the cone is calculated as

A = πrs ( r is the radius and s the slant height )

Here r = 22 ÷ 2 = 11 and s = 26 , then

A = π × 11 × 26 = 286π in²