Answer:
y = 7x
Step-by-step explanation:
Complete question:
Find an equation for the line with the given properties. Parallel to the line 7x - y = -7; containing the point (0,0)
The equation of a line in point-slope form is expressed as;
y - y0 = m(x-x0)
(x0, y0) = (0,0)
Given the equation of the line as 7x - y = -7;
Rewrite and get the slope
-y = -7x - 7
y = 7x+7
Get the slope
mx = 7x
m = 7
Substitute into the equation
y - 0 = 7(x - 0)
y = 7x
Hence the required equation is y = 7x
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
<em />
<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:
1253 in^3
Step-by-step explanation:
The volume of the smaller container is (7 in)(5 in)(5 in) = 175 in^3.
The volume of the larger one is (11 in)(14 in)(7 in) = 1078 in^3
The total volume is the sum of these two volumes: 1253 in^3
25.5 × 10.09 = 257
Sig Figs
3
Decimals
0
Scientific Notation
2.57 × 102
395 divided by 79 = 5.001265823 hours
