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alina1380 [7]
3 years ago
14

Need some help on geometry practice problems!

Mathematics
2 answers:
Ket [755]3 years ago
7 0
A(-1, 2)  and B(7, 3)

x_m= \cfrac{x_a+x_b}{2}= \cfrac{-1+7}{2}= \cfrac{6}{2}=3 \\  \\  y_m= \cfrac{y_a+y_b}{2}= \cfrac{2+3}{2}= \cfrac{5}{2} \\  \\ \text{midpoint is} \ (3,  \frac{5}{2} )
Ksenya-84 [330]3 years ago
4 0
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -1}}\quad ,&{{2}})\quad 
%  (c,d)
&({{ 7}}\quad ,&{{ 3}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 7-1}} }{2}\quad ,\quad \cfrac{3+2}{2} \right)
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Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.
Tamiku [17]

Answer:

x = 2

Step-by-step explanation:

To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".

f(x) = 2x + 1

g(x) = -x + 7

f(x) = g(x)                                              <----- Given equation

2x + 1 = -x + 7                                      <----- Insert functions

3x + 1 = 7                                             <----- Add "x" to both sides

3x = 6                                                  <----- Subtract 1 from both sides

x = 2                                                    <----- Divide both sides by 3

8 0
2 years ago
Please help me ...................
vova2212 [387]

Based on the chart on the left, you can see there are 2 dragonflies with the lengths of 3 1/4 inches. Therefore, 2 marks should be made over the 3 1/4 inches spot on the line plot.

Hope this helps

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5 0
4 years ago
write an absolute value equation to calculate the distance between the two points (4, -2) and (-9, -2)
meriva

9514 1404 393

Answer:

  d = |-9-4| = 13

Step-by-step explanation:

The y-values are the same for the two points, so the distance between them on that horizontal line is the difference of x-values.

  d = |(-9) -(4)|

  d = |-13| = 13

The distance between the points is 13 units.

7 0
3 years ago
Petrol has a capacity of 6000L. How many L is inside if the tank is 3/5 full?
Vilka [71]

Answer:

3600!!!

Step-by-step explanation:

6000 divided by 5= 1200

1/5= 1200

1200 x 3= 3600

3 0
3 years ago
The Skateboard club has 2 different colors of skateboards blue and red. Can you find the number of skateboards of each color, if
kumpel [21]

Answer:

The number of skateboards of each color is 11 and 4

Step-by-step explanation:

Let x represent blue skateboards and

y represent red skateboards.

From the question, the total number of skateboards is 15, that is,

x + y = 15 ...... (1)

and their product is 44, that is,

xy = 44 ...... (2)

From equation (1),

x + y = 15

We can write that

x = 15 - y ...... (3)

Substitute this into equation (2)

xy = 44

(15-y)y = 44

15y -y² = 44

Then,

y² - 15y + 44 = 0

Solve quadratically

y² -4y -11y + 44 = 0

y(y-4) -11(y-4) = 0

(y-11)(y-4) = 0

y-11 = 0 OR y-4 = 0

y = 11 OR y = 4

Put the values of y into equation (3) for x

x = 15 - y

When y = 11

x = 15 - 11

x = 4

and when y = 4

x = 15 -4

x = 11

(4,11) and (11,4)

It is either 4 blue and 11 red skateboards OR 11 blue and 4 red skateboards.

Hence, the number of skateboards of each color is 11 and 4.

5 0
3 years ago
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