Answer:
m=9
Step-by-step explanation:
12m+80=188
subtract 80 from both sides to get the m alone.
12m+80-80=188-80
12m=108
divide both sides by twelve.
12m/12=108/12
m=9
Answer:
Slope is equal to the change in y over the change in x , or rise over run.
m=change in y/ change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope.
m=0−(2)/9−(5)
Simplify.
m=−12
Step-by-step explanation:
Answer: negative divided by negative is positive
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The given shape is a right angled triangle.
Here,
Hypotenuse = 2√3
Another side = √3
Let the missing side length be " x ".
By Hypotenuse theorem,
x² + ( √3 )² = ( 2√3 )²
x² + 3 = 12
x² = 12 - 3
x² = 9
x² = 3²
x = 3
Therefore, the side length is 3.
Answer:
<h3>
By using the distributive property the matched equivalent expressions are</h3><h3>
1) -7(-4+x)
=28-7x
</h3><h3>
2) -7(4-x)
=-28+7x
</h3><h3>
3) 7(4+x)
=28+7x
</h3><h3>
4) 7(-4-x)
=-28-7x
</h3>
Step-by-step explanation:
Given that by using the distributive property to match the given equivalent expressions.
1) Given expression is -7(-4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(-4+x)
=(-7)(-4)+(-7)(x)
=28-7x
<h3>∴ -7(-4+x)
=28-7x
</h3>
2) Given expression is -7(4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(4-x)
=(-7)(4)+(-7)(-x)
=-28+7x
<h3>∴ -7(4-x)
=-28+7x
</h3>
3) Given expression is 7(4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(4+x)
=(7)(4)+(7)(x)
=28+7x
<h3>∴ 7(4+x)
=28+7x
</h3>
4) Given expression is 7(-4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(-4-x)
=(7)(-4)+(7)(-x)
=-28-7x
<h3>∴ 7(-4-x)
=-28-7x
</h3>
Hence the matched equivalent expressions are
1) -7(-4+x)
=28-7x
2) -7(4-x)
=-28+7x
3) 7(4+x)
=28+7x
4) 7(-4-x)
=-28-7x
