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stepladder [879]
2 years ago
8

What is a possible solution set to x + 7 ≤ -9 ?

Mathematics
2 answers:
masha68 [24]2 years ago
8 0

Answer:

Step-by-step explanation:

x + 7 ≤ -9 subtract 7 from both sides

x≤-16  this is your answer

If you're plotting it will be (-∞,-16]

Artemon [7]2 years ago
3 0

Answer:

Step-by-step explanation:

For this equation, all it is asking is to replace the unknown value with a number that completes the equation. However, the number must make the equation valid. Here is a few examples that could be a valid solution to this problem:

1. -55 + 7 < -9

(you don't need to solve this equation to tell that it's less than negative nine.)

2. 22 + (-98) + 7 < -9

(this is more complicated, but you can still tell that the sum is less than negative nine.)

So, basicly all that you have to do is replace the missing value with a number that gives the eqquation a sum less than negative nine. Hope this helped!!! :)

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

7 0
2 years ago
Help please.<br> Algebra.
Yanka [14]

Answer:

I'm pretty sure Its D i think-

7 0
2 years ago
4. What is the slope of the line that passes through the given points? <br><br> (3, 2) and (5, 12)
valina [46]

Answer:5

Step-by-step explanation:

y2-y1/x2-x1

12-2/5-3

10/2

=5

8 0
2 years ago
Write three numbers that are greater than 0.716 and less than 0.9 from least to greatest.
svlad2 [7]
0,717  
0,728
0,8
0,84321
4 0
3 years ago
Read 2 more answers
Aaron can run 2 kilometers in 14 and 1/2 in minutes. find his rate of speed in kilometers per minute
Otrada [13]

Remember that distance = rate * time

We are solving for rate (speed):

d = rt\\2 = (r)(14.5)\\r = \frac{2}{14.5}\\r = 0.14


Aaron is running at an approximate speed of 0.14 km/minute

6 0
3 years ago
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