Answer:
point-slope form;
(y - 1) = -8(x+2)
slope-intercept form;
y = -8x - 15
Step-by-step explanation:
The first step is to determine the slope of the given line;
8y = x − 4
y = 1/8(x) - 1/2..... After dividing both sides by 8
The slope of the line is thus 1/8, the coefficient of x when the equation is written in slope-intercept form.
The required line is perpendicular to this given line which implies that the product of the slopes will be equal to -1. Let the slope of the required line be m;
m * 1/8 = -1
m = -8
The slope of the required line is thus -8. Using the given point, (−2, 1), the equation of this line in point-slope form becomes;
(y - 1) = -8(x - -2)
(y - 1) = -8(x+2)
We make y the subject of the formula;
y = -8x - 16 + 1
y = -8x - 15
This is the slope-intercept form of the equation of the line.
53.96+0.17x =57.96+0.12x
0.17x-0.12x=57.96-53.96
0.05x=4.00
x=80 mi
So basically, 9 cakes need 225 grams of flour
Therefore 1 cake needs:
= 25 grams of flour
Moreover, 20 cakes need: 20 × 25 = 500 grams of flour
500 g > 475 g
Marian does not have enough flour to make 20 cakes
Answer:
V = 549.5 ft³
Step-by-step explanation:
The formula for the volume, V, of a cylinder of radius r and length h is
V = πr²h.
Substituting 2.5 ft for r and 28 ft for h, we get the volume
V = 3.14(2.5 ft)²(28 ft), or
V = 549.5 ft³
Well right off the bat, I can see a good reason why it should boggle.
If (x+y)=6 and (x-y)=2, then (x+y)(x-y) would be 12. It can't be 20.
The first 4 lines on the paper are inconsistent, so the question in the 5th line can't be calculated.
Another possible source of uncertainty (for us, anyway) is the remarkable similarity between the way you write ' Y ' and the way you write ' 4 ' . For example, look at the ' Y⁴ ' (I think ...) in the last line.
