The answer would be (-1,-6). Remember that the x-axis runs left to right and the y-axis runs up and down. Therefore, if you were to reflect it, just picture it being flipped over. If you go from (-1,+6) and you reflect it over the x-axis, both points are now in the bottom left quadrant where everything is negative. So, you get (-1,-6) The -1 doesn't change since it was already a -x value before and stayed in a negative area.
The 3 sides of the triangle are PR = 8.4, OR = 5.4 and OP = 3.1
Step-by-step explanation:
Step 1 :
Given
PR = 3x - 0.6
OP = x + 0.1
OR = x + 2.4
Also the 2 sides OR and PR are said to be equal.
So we have OR = PR
=> 3x - 0.6 = x + 2.4
=> x = 2.4 + 0.6 => x = 3
Step 2 :
we have ,
PR = 3x - 0.6 = 3(3) - 0.6 = 8.4
OR = x + 2.4 = 3 + 2.4 = 5.4
OP = x + 0.1 = 3 + 0.1 = 3.1
Step 3 :
Answer :
The 3 sides of the triangle are
PR = 8.4
OR = 5.4
OP = 3.1
Answer:
137
Step-by-step explanation:
A straight line is 180 so take 180 and subtract 43
Answer:
A cos C = 12/13
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos C = BC/AC
But we don't know BC, but we can find it using the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +BC^2 = 13^2
25 + BC ^2 =169
Subtract 25 from each side
BC^2 = 169-25
BC ^2 = 144
Taking the square root of each side
BC =12
cos C = 12/13
<h2><u>Simplification</u></h2>
<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>
To expand an expression, use FOIL method.
<h3><u>F - First</u></h3>
- Multiply the first term in each expression inside the parentheses.
<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.
<u>(-7y)(y) = -7y²</u>
<h3><u>O - Outside </u></h3>
- Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)
<u>-7y</u> is the first term in the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-7y)(-4) = 28y</u>
<h3><u>I - Inside</u></h3>
- The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)
<u>-8</u> is the last term in the <u>first expression</u>
<u>y</u> is the first term in the <u>second expression</u>
<u>(-8)(y) = -8y</u>
<h3><u>L - Last</u></h3>
- Last step is to multiply the last term in each expression.
<u>-8</u> is the last term of the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-8)(-4) = 32</u>
Combine all simplified terms.
- -7y² + 28y - 8y + 32
- -7y + 20y + 32
<u>Answer:</u>
Wxndy~~