Step-by-step explanation:
slope of the given line=2/3
since the required line is parallel to the given line, it's slope will be same.
hence slope of required line:2/3
The required line passes through the point(9,1),
hence the equation of the required line,
y-1=(2/3)(x-9)
3y-3=2x-18
2x-3y-15=0
There the equation of the required line is 2x-3y-15=0
<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
Answer:
38 cm
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of all its sides.
We have two unknown length, so let's find their lengths first.
x= 10 -6= 4 cm
y= 9 -2= 7cm
Let's add all the lengths together to find the perimeter:
Perimeter
= 9 +10 +2 +6 +7 +4
= 38 cm
Answer:
More expensive
Step-by-step explanation:
FIRST WASHING MACHINE PRICE - $360
SECOND WASHING MACHINE PRICE - MUST NOT BE CHEAPER
$720 x 30% = $216
The additional percentage must make the washing machine more expensive than the first one.
Answer:
Tan B= 16/30
Step-by-step explanation:
Remember SOH CAH TOA. Tan is involved with this problem so we would use the TOA. TOA stands for: T-Tan, O- Opposite, and A- Adjacent.
First you want to find what is the opposite side of angle B (in meaning the side if you go straight out from the angle) which would be 16. You then need to find the adjacent side which is the side in between the given angle and 90 degree angle so that would be 30. TOA states that Opposite is over Adjacent so it would be 16/30.
