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dexar [7]
3 years ago
15

A line passes through (2,−7) and (−3,3) . find the slope-intercept form of the equation of the line. then fill in the value of t

he slope, m, and the value of the y-intercept, b, below
Mathematics
1 answer:
ad-work [718]3 years ago
8 0
Slope/m=3-(-7)/-3-2=10/-5=-2
slope/m=-2
y=-2x+b
b=         3=-2*-3+b
               b=-3
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Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below. Compare the box
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C..The median of Nadia’s data is equal to the median of Ben’s data.                                                                                                                                                  D. <span>Nadia had the highest score on a test</span>
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3 years ago
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Makayla and Caroline go to the movie theater and purchase refreshments for their friends. Makayla spends a total of $49.00 on 9
gizmo_the_mogwai [7]

Answer:

Let the cost of each popcorn bag be x and cost of each  drink be y

Cost of 9 bags of Popcorn= 9 x

Cost of 8 drinks be = 8 y

Total money spent by Makayla = $ 49

According to Question

9 x + 8 y= 49..................... equation (1)

Similarly , cost of 3 popcorn = 3 x

Cost of 3 drinks= 3 y

Total money spent by Caroline= $ 17.25

According to Question

3 x+ 3 y= $ 17.25...................equation(2)

We can solve above equation by using elimination method

Multiply equation (2) by 3

9 x + 9 y =  51.75..................equation(3)

9 x + 8 y= 49..................... equation (1)

Subtraction equation (1 ) from equation(3)

y = 2.75

put value of y  in any equation (2)

we get

3 x + 3 × 2.75 = 17.25

3 x +   8.25 = 17.25

3 x = 17.25 - 8.25

3 x = 9

x = 3

Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)

5 0
3 years ago
What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0
NeTakaya

Answer:

Step-by-step explanation:

(x²-6x)+(y²+8y)=-21

(x²-6x+9)+(y²+8y+16)=-21+9+16

(x-3)²+(y+4)²=4

center=(3,-4),radius=√4=2

7 0
3 years ago
Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one
Alja [10]
No. A square has equal sides that are perpendicular and parallel. I'm guessing this room resembles some other figure.
8 0
3 years ago
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A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 f
krok68 [10]

✰ <u>Concept</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

⠀

In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.

⠀

✰ <u>Given</u><u> </u><u>Information</u><u> </u>:-

⠀

  • Hypotenuse = 22 ft.
  • Base = 10 ft.

⠀

✰ <u>To Find</u><u> </u><u>:</u><u>-</u>

⠀

  • The value of side or the perpendicular

⠀

✰ <u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

⠀

\star \:  \underline{ \boxed{ \purple { \sf  {Side}^{2}  =  {Hypotenuse}^{2}  -  {Base}^{2}  }}} \:  \star

⠀

✰ <u>Solution</u><u> </u><u>:</u><u>-</u>

⠀

\sf \longrightarrow  {Side}^{2} =   {(22 \: ft)}^{2}  -  {(10 \: ft)}^{2}  \:  \:  \:  \\  \\  \\ \sf \longrightarrow  {Side}^{2} =   {484 \: ft}^{2}  -  {100 \: ft}^{2}  \:  \:  \: \:  \:  \:   \\  \\  \\ \sf \longrightarrow  {Side}^{2} =   {384 \: ft}^{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\ \sf \longrightarrow  {Side}^{} =   \sqrt{ {384 \: ft}^{2} }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\ \sf \longrightarrow  {Side}^{} =   \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \:  \star \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\

Thus, option B. 19.60 ft. is the correct option.

⠀

\underline{\rule{230pt}{2pt}} \\  \\

4 0
3 years ago
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