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Lelechka [254]
3 years ago
11

Jonathan would like to find the midpoint of the line segment with the endpoints F(–10.5, 3) and G(8, 6.5). The x-coordinate is.

The y-coordinate is.
Mathematics
2 answers:
lakkis [162]3 years ago
8 0
-1.25 and 4.75 are your answers. 
trapecia [35]3 years ago
5 0

Answer:

The x-coordinate is -1.25

The y-coordinate is 4.75

Step-by-step explanation:

Jonathan would like to find the midpoint of the line segment with the endpoints.

F(-10.5,3) and G(8,6.5)

Let mid-point of FG be M(x,y)

We need to find the mid-point of FG.

Formula:

(x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

x_1\rightarrow -10.5

x_2\rightarrow 8

y_1\rightarrow 3

y_2\rightarrow 6.5

(M(x,y)\rightarrow (\dfrac{-10.5+8}{2},\dfrac{3+6.5}{2})

(M(x,y)\rightarrow (-1.25,4.75)

Hence, The x-coordinate is -1.25 and The y-coordinate is 4.75

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How many solutions exist for the system of equations graphed below?
tamaranim1 [39]

Considering the given graph, the number of solutions for the system of equations is given by:

b.) one

<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 a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.

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

#SPJ1

4 0
2 years ago
Name two solutions for each inequality.
ahrayia [7]
So,

#1: n  \geq 3 \frac{11}{16} + 4 \frac{1}{2}

Convert to like improper fractions.
n  \geq  \frac{59}{16} +  \frac{72}{16}

Add.
n  \geq  \frac{131}{16}\ or\ 8 \frac{3}{16}

So, one solution could be 8 \frac{3}{16}.

Another solution could by 9.  There is also 10, 11, 12, etc., and all numbers in between.


#2: k \ \textless \  6  \frac{2}{5} * 15

Convert into improper fraction form.
k \ \textless \ \frac{32}{5} * 15

Multiply.
\frac{(2^5)(3)(5)}{5}

Cross-cancel, and we have our final result.
(2^5)(3) = 96
k < 96

96 is not a solution.

95 is a solution.

So is 94, 93, 92, etc, and all numbers in between.
6 0
3 years ago
What is the graph of the inequality in the coordinate plane x ≥ 1
lakkis [162]
The graph would be a vertical line through x=1 (1,0), with shading to the left of it.

8 0
3 years ago
Can y’all please help!
Virty [35]

Answer:

is it multiple choice answers ?

5 0
3 years ago
I REALLY NEED HELP QUICK!
Leni [432]

Answer:

y=1/2x-5

Step-by-step explanation:

From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation

(y_{2} -y_{1})/(x_{2}-x_{1} )

We can substitute in the points so it looks like

(-4--5)/(2-0)  or  1/2 which is the slope of the function

Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5

4 0
3 years ago
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