All categories

3 years ago

I need help.................

Mathematics

1 answer:

cluponka [151]3 years ago

4 0

Answer:

(1, 5)

Step-by-step explanation:

The midpoint of a line segment has coordinates that are the average of the end-point coordinates.

M = (X + Y)/2 = ((-3, 4) +(5, 6))/2 = (-3+5, 4+6)/2 = (2, 10)/2

M = (1, 5)

The midpoint is (1, 5).

You might be interested in

Name the ordered pair that is 5 units right and 2 units down from (-3,4)

Lesechka [4]

The answer is (2,2)

5 0

3 years ago

Read 2 more answers

Square root of the quantity x minus 2 end quantity plus 8 equals x

Butoxors [25]

ANSWER

x=11

EXPLANATION

We want to solve the equation:

$\sqrt{x - 2} + 8 = x$

Add -8 to both sides:

$\sqrt{x - 2} = x - 8$

Square both sides of the equation to get:

$(\sqrt{x - 2} )^{2} =( x - 8)^{2}$

$x - 2 = {x}^{2} - 16x + 64$

Rewrite in the form ax² +bx+c=0

${x}^{2} - 16x - x + 64 + 2 = 0$

${x}^{2} - 17x + 66 = 0$

Factor to get,

$(x - 11)(x - 6) = 0$

This implies that,

$x = 11 \: or \: x = 6$

Checking for extraneous solutions.

When x=6, the original equation becomes,

$\sqrt{6- 2} + 8 = 6$

$\sqrt{4 } + 8 = 6$

2+8= 6 is not true.

x=6 is an extraneous solution.

When x=11, the original equation becomes,

$\sqrt{11- 2} + 8 = 11$

$\sqrt{9} + 8 = 11$

$3 + 8 = 11$

This is true, hence x=11 is the only solution.

5 0

3 years ago

This stem and leaf plot shows the scores for the Lincoln middle school boys’ basketball team for the 2004 season.

uranmaximum [27]

Answer: 72

Go to the very bottom of the table, look at the stem of 7 and the leaf of 2 (largest leaf of the group). Combining the stem and leaf leads to 70+2 = 72

5 0

3 years ago

Read 2 more answers

A baker needs

Makovka662 [10]

Answer:

Step-by-step explanation:

The Baker needs 18 eggs to make 6 dozen.

He also uses 24 eggs to make 8 dozen

18/6=3

24/8=3

So,1 dozen=1×3=3

5 0

2 years ago

Graph the linear equation and answer each of the following questions. y=-2x-3

ollegr [7]

Answer:

Part 1) The y-intercept is the point (0,-3)

Part 2) The slope in fraction form is $m=-\frac{2}{1}$

Part 3) The graph in the attached figure

Step-by-step explanation:

we have

$y=-2x-3$

Part 1) What is the y-intercept?

Remember that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

substitute in the linear equation and solve for y

$y=-2(0)-3\\y=-3$

The y-intercept is the point (0,-3)

Part 2) What is the slope (in fraction form)?

we have

$y=-2x-3$

This is the equation of the line in slope intercept form

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept

$m=-2$

In fraction form is

$m=-\frac{2}{1}$

The slope is negative, that means, is a decreasing function (as the x-values increases the y-values decreases)

Part 3) Graph the line

To graph the line we need two points

From the y-intercept (0,-3) use the slope to find your next point

The slope is -2, so you will rise -2 (2 units down) and run 1 (1 unit to the right).

The next point is (0+1,-3-2) -----> (1,-5)

Plot the points (0,-3) and (1,-5), connect them and graph the line

The graph in the attached figure

4 0

4 years ago