Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
Answer:
= 44j+32
j = -8/11
geometric figure it is called a line.
Step-by-step explanation:
Expand the following:
4 (6 j + 5 j + 8)
Grouping like terms, 5 j + 8 + 6 j = (5 j + 6 j) + 8:
4 (5 j + 6 j) + 8
5 j + 6 j = 11 j:
4 (11 j + 8)
4 (11 j + 8) = 4×8 + 4×11 j:
4×8 + 4×11 j
4×8 = 32:
32 + 4×11 j
4×11 = 44:
Answer: 32 + 44 j
Part 1) Finding x
Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.
Therefore, XZ is twice as long as XY
XZ = 2*( XY )
XZ = 2*( 2x-1 )
XZ = 4x - 2
We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x
6x-8 = 4x-2
6x-4x = -2+8
2x = 6
x = 6/3
x = 3
<h3>Answer is 3</h3>
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Part 2) Finding the length of YZ
The resut of part 1 (x = 3) is plugged into the equation for XY to get
XY = 2*x-1
XY = 2*3-1
XY = 6-1
XY = 5
Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).
<h3>Answer: 5</h3>
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Part 3) Finding the length of segment XZ
The answer from the previous part was 5. This doules to 5*2 = 10
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A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...
XZ = 2*(3x-4)
XZ = 2*(3*3-4)
XZ = 2*(9-4)
XZ = 2*5
XZ = 10
and we get the same answer
<h3>Answer: 10</h3>
Answer:
-5/2
Step-by-step explanation:
In order to find the slope of a perpendicular line: negate the reciprocal of the original slope
Answer:-16
Step-by-step explanation:
add all the temperature together =-112
then you divide by the number of temperatures given which is 7 which gives you -16
