Answer:
- 8
Step-by-step explanation:
Given
x² - 64 = 0 ( add 64 to both sides )
x² = 64 ( take the square root of both sides )
x = ± 
= ± 8
Solutions are x = 8 and x = - 8
Answer:
The Domain is X, range is Y
Step-by-step explanation:
Domain and Range is just another term for X-axis and Y-axis
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:
22 Red Jellybeans
Step-by-step explanation:
Out of the 55 jellybeans in the jar, 40% of them are red, which means you have to do 40% of 55 to see which ones are red. We know 10% of 55 is 5.5, then multiply 5.5 x 4 to get 22 is 40% of 50 hope this helped :)
<span><span>ab:ac=3:5
bd:cd=7:2
if cd is 5 cm then cd=2:5 then ab=3:x
2:5=3:x
15=2x
x=15/2
x=7.5 cm</span><span>
Happy studying! ^_^</span></span>
