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allochka39001 [22]
3 years ago
13

(

Mathematics
2 answers:
ankoles [38]3 years ago
8 0
A. A number line with an open circle on -4, shading to the left, and a closed circle on 3, shading to the right
jeka57 [31]3 years ago
8 0

we have the compound inequality

x-3 < -7 --------> inequality A

x < -7+3

x < -4

The solution inequality A is the interval-------> (-∞,-4)

A number line with an open circle on -4, shading to the left

x+5 \geq 8 --------> inequality B

x \geq 8-5

x \geq 3

The solution inequality B is the interval--------> [3,∞)

A number line with a closed circle on 3, shading to the right

so

The solution inequality A or inequality B is equal to  

Solution A +Solution B=(-∞,-4) + [3,∞)

therefore

<u>the answer is the option A</u>

A number line with an open circle on −4, shading to the left, and a closed circle on 3, shading to the right

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Which lines are perpendicular to the line y – 1 = (x+2)? Check all that apply.
Ilya [14]

Answer:

none of them

Step-by-step explanation:

Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.

line 1:  

y – 1 = (x+2)

y = x + 3

slope of line 1 = 1

line 2:  

y + 2 = –3(x – 4)

y + 2 = -3*x + 12

y =  -3*x + 10

slope of line 2 = -3

m1*m2 = 1*(-3 ) = -3

They are not perpendicular

line 3:  

y − 5 = 3(x + 11)

y − 5 = 3*x + 33

y = 3*x + 38

slope of line 3 = 3

m1*m3 = 1*3 = 3

They are not perpendicular

line 4:  

y = -3x –  

slope of line 4 = -3

m1*m4 = 1*(-3 ) = -3

They are not perpendicular

line 5:  

y = x – 2

slope of line 5 = 1

m1*m5 = 1*1 = 1

They are not perpendicular

line 6:  

3x + y = 7

y = -3x + 7

slope of line 6 = -3

m1*m6 = 1*(-3 ) = -3

They are not perpendicular

5 0
3 years ago
Read 2 more answers
8×(30+2)=(8×_)+(8×2)
irinina [24]
Using the distributive property, a(b+ c) = ab + ac. In this case, b is 30, so the blank is 30.
6 0
4 years ago
Read 2 more answers
Have to show all work
Natasha2012 [34]

Answer:

4.58 ft

Step-by-step explanation:

Pythagoras Theorem:

a^2 +b^2 = c^2

b^2 = c^2 - a^

b^2 =11^2 - 10^2

b^2 = 121 - 100

b^2= 21

the heigh = √21 = 4.58

Answer: 4.58 ft

6 0
3 years ago
(100 points) Give a step by step explanation on how you solved this problem
Lina20 [59]
Use substitution
Given both y values, you know that they have to be equal

3x + 3 = x - 1
2x + 3 = -1
2x = -4, divide by 2
x = -2
Now plug x value into any of the equation to find y value
y = 3(-2) + 3
y = -6 + 3, y = -3

Solution: x = -2, y = -3
4 0
3 years ago
Read 2 more answers
What's the difference between bias and point of view
belka [17]
This is my interpretation of bias, something that screws your acceptance of other people's view, and taking <span>into account only one view point. </span>
5 0
3 years ago
Read 2 more answers
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