Step-by-step explanation:
Area of triangle = 1/2 × the width × the length
42 = 1/2(x+3)(2x+8)
42 = 1/2×2×(x+3)(x+4)
42 = (x+3)(x+4)
(x+3)(x+4) = 42
x² + 7x + 12 = 42
x² + 7x + 12 - 42 = 0
x² + 7x - 30 = 0
(x-3)(x+10) = 0
x = 3, -10
x can't be -10 because the width and the length should be only + values
x = 3
Answer: The radius of this circle is 0.5
Step-by-step explanation:
We have a circle that passes through the point (0, 0.5)
We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)
For a circle centered in the origin, we have the equation:
x^2 + y^2 = r^2
Where r is the radius.
Here we have that x = 0 and y = 0.5
then:
0^2 + (0.5)^2 = r^2
0.5^2 = r^2
r = 0.5
The radius of this circle is 0.5
Answer:
87
Step-by-step explanation:
Hope this helps
The expression which is equivalent to the given expression as in the task content is; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power.
<h3>What is the expression which is equivalent to the given expression?</h3>
According to the task content, it follows that the expression given is;
(1.5⁵/0.7⁴)³
= 1.5^(3×5) /0.7^(4×3)
= 1.5¹⁵/0.7¹².
Hence, the expression which is equivalent is; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power.
Read more on exponents;
brainly.com/question/847241
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Let x= original number
equation: 2x+24=2/7 x
move 2x over to the other side of the equation to get 24=-12/7 x. Then, multiply both sides of the equation by -7/12 to isolate the variable.
The final answer should be x=-14
