To solve this problem you must apply the proccedure shown below:
1. You have that the formula for calculate the area of a triangle is:
A=bh/2
Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.
bh/2=124
bh=124x2
bh=248
2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:
Base=b/2
Height=3h
3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:
A'=bh/2
(A' is the new area)
A'=(b/2)(3)/2
A'=3bh/4
4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
A'=186 units</span>²
<span>
The answer is: </span>186 units²
Answer:
y=x+12
Step-by-step explanation:
Well the slope is -4/-4 =1
We plug it into the formula, y=mx+b, but m=1
So it is y=1x+b
We know the points, so we plug y and x in which is:
-4=-4*4+b
-4=-16+b
b=12
So the point slope form of that is y=x+12
Given:
The expression is
To find:
The equivalent expression.
Solution:
Distributive property of multiplication over addition is
Where, a, b and c are real numbers.
We have,
Using distributive property, we get
Therefore, the expression 
is equivalent to the given expression.
Answer:
2.9375
Step-by-step explanation:
15 divided by 16 equals .9375 so 2 15/16 is 2.9375
Answer:
x > -4
Step-by-step explanation:
Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:
3x + 7 > -x -9
3x + 7 - 7 > -x -9 -7 Subtract 7 from both sides
3x > -x -16
3x + x > -x -16 + x add x to both sides
4x > -16
> 
divide both sides by 4
x > -4
In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.
