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DaniilM [7]
3 years ago
10

The set of points (–4, 4), (2, 4) and (7, 4) are plotted in the coordinate plane. Which statement is true? A. The graph of the p

oints is not a function. B. The slope of the line between any two of these points is 0. C. The first and second coordinates of each point are equal. D. The first-coordinates of the points are equal.

Mathematics
2 answers:
77julia77 [94]3 years ago
3 0

Answer:

I think it was either C or D sorry if you get it wrong

Step-by-step explanation:

grigory [225]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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Write an equation for the perpendicular bisector of the line segment joining the two points.
Leona [35]
Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points =  (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

                 5y =  -4x - 4 + 45/2
           
                5y + 4x = 45/2 - 4

                  5y + 4x = 22  1/2  - 4 =  18 1/2

                  5y + 4x =  37/2

                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
7 0
4 years ago
Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How m
pantera1 [17]

Answer:

16

Step-by-step explanation:

x+2x=24

x=8

2x=raisins=16

6 0
3 years ago
Can someone help me out please
Butoxors [25]
SA formula: Ph + 2B

B is the trapezoid side.

using the formula:
(3+4+5+6)*5 + 2(16) = 126 cm^2
7 0
3 years ago
What could be partial quotients for 145divided by 5
KonstantinChe [14]
The answer would be 29.
5 0
4 years ago
The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She gave half of her encyclope
vladimir1956 [14]

Using a system of equations, it is found that she has 9 picture books.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of picture books.
  • Variable y: Number of encyclopedias.
  • Variable z: Number of fairy tale books.

The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5, hence:

\frac{x}{y} = \frac{3}[4}, \frac{x}{z} = \frac{3}{5}, \frac{y}{z} = \frac{4}[5}

She gave half of her encyclopedias to her brother and he gave her 5 books of fairytales. Now she has 14 more books of fairy tales than encyclopedias, hence:

z + 5 - 0.5y = 14.

z - 0.5y = 9

From the ratios, we have that:

y = \frac{4}{3}x, z = \frac{5}{3}x

Hence we solve for x to find the number of picture books:

z - \frac{y}{2} = 9

\frac{5}{3}x - \frac{2}{3}x = 9

x = 9.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

6 0
2 years ago
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