Answer:
Y=-2x + 5
Step-by-step explanation:
The line goes through the point (0,5) and the slope is -2.
Sides that are parallel, good luck!
The dimensions of the house should be 7 m by 13 m.
If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions. This gives us (10-x) and (16-x) as the dimensions.
The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91
Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91
Combine like terms:
160-26x+x²=91
Rewrite this in standard form:
x²-26x+160=91
Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0
Factoring this, we look for factors of 69 that sum to -26. -23*-3 = 69 and -23+-3 = -26, so:
(x-23)(x-3) = 0
Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3.
x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.
10-3 = 7 and 16-3 = 13.
These are the dimensions of the house.
Using the probability concept, it is found that there is a 
probability the student is a boy.
<h3>What is a probability?</h3>
- A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, according to the two-way table found on the internet when we research the problem:
- There are 11 people who are 12, of which 4 are girls and 7 are boys.
- Hence, in total, there are 21 people, of which 13 are girls and 8 are boys.
- Then, we find that there are 10 people aged 11, of which 6 are girls and 4 are boys.
Then:
There is a probability the student is a boy.
You can learn more about the probability concept at brainly.com/question/15536019
Answer:
44, 58, 74
Step-by-step explanation:
you add up by 2´s.
Which means, 4+4=8, 8+6=14, 14+8=22, 22+10=32
4,6,8,10,12,14,16
