Answer:
see explanation
Step-by-step explanation:
The side of the square = x + 2, thus area is equal to
(x + 2)² ← expand using FOIL
= x² + 4x + 4
Given area = 7 then
x² + 4x + 4 = 7 ( subtract 4 from both sides )
x² + 4x = 3 ← as required
<u>Answer:</u>
Helen's salary increased more.
<u>Step-by-step explanation:</u>
We know that Clint's salary increased from $24000 to $36000 over a three-year period.
So the increase in Clint's salary will be = 36000 - 24000 = $12000
While Helen's salary increased from $29000 to $43, 500 over the same period of 3 years.
So the increase in Helen's salary will be = 43500 - 29000 = $14500
Therefore, in absolute terms, Helen's salary has increased more.
Answer:
682,000 miles
Step-by-step explanation:
Using the ratio of 186,000 miles per second:
we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon
where 'x' is the number of miles between the earth and the moon
Cross-multiply: x = 186,000*
Solve for x = 682,000 miles
The price of a senior citizen ticket is $8 and the price of a student ticket is$ 10
Step-by-step explanation:
Let the cost of one seniors citizen ticket be x and student be y
First day:
10 seniors citizen tickets and 11 student for a total of $190.
10x + 11y = 190-----------------------------(1)
Second day:
$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.
5x + 12y = 160---------------------------------(2)
Multiply eq(2) by 2
10x + 24y = 320----------------------------(3)
Subtract eq(1) from (3)
10x + 24y = 320
10x + 11y = 190
-----------------------------
0x + 13 y = 130
---------------------------
13y = 130
y = 10-------------------------------(4)
Substituting (4) in (2)
5x + 12(10) = 160
5x + 120 = 160
5x = 160-120
5x = 40
x = 8
Answer: 15 units .
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In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" forming is the hypotenuse of the right triangle.
In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are: "a, a, a√2" ; in which "a√2" is the hypotenuse.
We are given: "15√2" is the hypotenuse" ; and we are given that this is a right triangle of a square with a diagonal length (i.e. "hypotenuse" of "15√2" ; so the measure of the side of the "square" (and other two sides of the triangle formed) is: 15 units. (i.e., 15, 15, 15√2 ).
