Answer:
-5/-6
Step-by-step explanation:
Use the equation rise over run, which is also y2-y1 over x2-x1
in basically every type of thing, x always comes first then y
y2=1 y1=6 x2=-2 x1=-4
1-6/-2-(-4)=-5/-6, because it was changed to, -5/-2+4
The correct answer is: [D]: " 4x² − 12x − 4 " .
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Explanation:
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Given:
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" (16x² − 16) + ( -12x² − 12x + 12) " ; Simplify.
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Note the "distributive property of multiplication:
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a(b + c) = ab + ac ;
a(b − c) = ab − ac .
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So we can rewrite the expression as:
" (16x² − 16) + 1( -12x² − 12x + 12) " ;
{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.
Let us examine the following part of the expression:
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" + 1 ( -12x² − 12x + 12 ) " ;
Using the distributive property of multiplication:
" + 1 ( -12x² − 12x + 12 ) = (1 * -12x²) − (1 * 12x) + (1 * 12) ;
= " − 12x² − 12x + 12 " ;
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Now, bring down the other part of the expression; & rewrite:
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→ " (16x² − 16) − 12x² − 12x + 12 " ;
→ " 16x² − 16 − 12x² − 12x + 12 " ;
Now, combine the "like terms" :
+ 16x² − 12x² = 4x² ;
− 16 + 12 = -4 ;
and we have " − 12x" ;
So we can rewrite the expression as:
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→ " 4x² − 12x − 4 " ;
→ which is: "Answer choice: [D]: " 4x² − 12x − 4 <span>" .
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You cannot add -10y+9x or 10y+5x because of the rule “combine like terms”...
Answer:
x = 15
x = 15
The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Step-by-step explanation:
a. x 12
------- = --------------
20 16
using cross products
x*16 = 20 * 12
16x = 240
divide by 16 on each side
16x/16 = 240/16
x = 15
b x 6
------- = --------------
20 8
using cross products
x * 8 = 6 * 20
8x = 120
divide each side by 8
8x/8 = 120/8
x = 15
c. The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Step-by-step explanation:
h = -490t² + 1470t
When h = 980:
980 = -490t² + 1470t
Simplifying:
0 = -490t² + 1470t - 980
0 = t² - 3t + 2
Factoring:
0 = (t - 1) (t - 2)
t = 1, 2
There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.
