Answer:
1/256
Step-by-step explanation:
1/4 * 1/4 * 1/4 * 1/4 =
= 1/16 * 1/4 * 1/4
= 1/64 * 1/4
= 1/256
To help solve this, we need to use the slope formula.
(y2 - y1) / (x2 - x1). We get these values by picking two points on a line.
For JL, we will pick points (-5, -3) and (-2, -4).
y1 = -4
y2 = -3
x1 = -2
x2 = -5.
Let's plug these into our formula.
(-3) - (-4) / (-5) - (-2) = -1/3
For LN, we will pick points (-2, -4) and (7, -7).
y1 = -7
y2 = -4
x1 = 7
x2 = -2.
Lets plug these values into our equation.
(-4) - (-7) / (-2) - (7) = -1/3
Therefore,
(-3) - (-4) / (-5) - (-2) = (-4) - (-7) / (-2) - (7)
The correct answer is G.
Answer:
Third table
Step-by-step explanation:
For the relationship to be proportional
y/x = constant
First table y/x = 8/4 = 2 then 7/11 doesn't =2 so it is not
Second table y/x =52/5 = 5 then 49/7 doesn't =5 so it is not
Third table y/x = 3/6=1/2 then 5/10 = 1/2 then 7/14 = 1/2 it is proportional
Last table y/x = 6/3 = 2 then 11/8 doesn't =2 so it is not
Answer:
8n³ + 10n² - 13n - 15
Step-by-step explanation:
Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is
4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis
= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms
= 8n³ + 10n² - 13n - 15
Answer:
168 meters squared
Step-by-step explanation:
The area of the triangle is A= 1/2 b*h. Here this area is 21 meters squared. The sides of the triangle have been multiplied by 4. This means, if the base was b, it is now 4b. This also means, if the height was h, it is now 4h. So the area is A= 1/2 4b*4h = 1/2 (16bh) = 8bh.
So the area of the larger triangle will be 8 times bigger.
21*8 = 168