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sesenic [268]
2 years ago
13

Apply the distributive property to factor out the greatest common factor. 4+10=

Mathematics
1 answer:
almond37 [142]2 years ago
4 0

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

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Equation of the line (-6,5) and (8,14) in standard form
blsea [12.9K]

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

4 0
3 years ago
Please help! This is homework that’s due tomorrow and it’s the only problem I have left.
katrin [286]

Answer:

4 flights of stairs in 5 minutes

Step-by-step explanation:

8/10 times 5

3 0
3 years ago
In Drosophila, straight wings are dominant to curved wings (c), smooth eyes are dominant to sparkling eyes (spa), and tan body i
irina [24]

Answer:

Step-by-step explanation:

In this case, the offspring will have two dominant traits and one recessive trait. If One of the Alleles for a traight is dominant, then the expressed traight will be dominant, assuming there is no mixing of traits. So for any offspring with these traits, they can have one or both domiant alleles for the wing shape and body color traits, but they must have both recessive alleles for the eye trait. Using a punnett square, you can find the number, which happens to be 9/64.

7 0
3 years ago
If C= (-10, -9, -8, -7 ,-6 , -5) and D= ( -6, -5, -4, -3, -2, -1, ) , what is C n D ?
andrey2020 [161]

Answer:

C ∩ D = -5, -6

Step-by-step explanation:

Commons ones in both C and D are -5 and -6

7 0
2 years ago
Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variab
PtichkaEL [24]

Answer:

8x + 20 ≥ 25

Step-by-step explanation:

Well 8 times the sum of a number "x" plus 20,

So we can write the following,

8x + 20

and that should be greater than or equal to 25

8x + 20 ≥ 25

<em>Thus,</em>

<em>as an inequality it is 8x + 20 ≥ 25.</em>

<em />

<em>Hope this helps :)</em>

3 0
3 years ago
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