The answer has to be -9 because -9 + -4 is equal to -9 - 4, and that equals -13.
Hey there!
Line passes through (4, -1) & is parallel to 2x -3y=9
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.
The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.
Start off by subtracting 2x from both sides.
-3y = -2x + 9
Then, divide both sides by -3.
y = (-2x + 9)/-3
Simplify.
y = 2/3x - 3
"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).
y-y₁=m(x-x₁)
Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.
y - (-1) = 2/3(x - 4)
Simplify.
y + 1 = 2/3 + 8/3
Simplify by subtracting 1 from both sides.
y = 2/3x + 8/3 - 1
Simplify.
y = 2/3x + 5/3
~Hope I helped!~
Answer: the current value of the house is $343350
Step-by-step explanation:
The initial value of the house on the market was $315,000.
After several years the value increased by 9%. This means that the amount by which the value of the house increased over the years would be
9/100 × 315000 = 0.09 × 315000 = $28350
The current value of the house would be the sum of the previous value of the house and the increase in value. It becomes
315000 + 28350 = $343350
Answer:
i cannot see it well
Step-by-step explanation:
Answer:
114
Step-by-step explanation:
The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)
32 = (5x-12 -3x)/2
combine like terms in parenthesis and multiply both sides by 2
32·2 = 2x-12
multiply 32·2 = 64, and add 12 to both sides
64 + 12 = 2x
add 64+12 = 76, and divide both sides by 2 to isolate x
76/2 = x
38 = x
The measure of arc AB is 3x.
Substitute x for 38
Measure of arc AB = 3x = 3·38 = 114
