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tatuchka [14]
4 years ago
11

Is (-2,-6) a solution of y < 7x + 8?​

Mathematics
2 answers:
mojhsa [17]4 years ago
6 0

Answer:

not a solution

Step-by-step explanation:

y < 7x + 8

Substitute (2-,-6) into the inequality

-6 < 7(-2) +8

-6 <-14+8

-6 <-6

This is not true because they are equal not less than

sveticcg [70]4 years ago
6 0

Answer: false

Step-by-step explanation:

-6<7(-2)+8

-6<-6

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ValentinkaMS [17]

Answer:

30 goats, and 40 animals

Step-by-step explanation:

so since the problem says 10 goats are in the garden, and the ratio of sheep to goats is 3:1 you do 3*10. it's basically saying for every 1 goat you have 3 sheep. so if you take away the 0 from 30 and 10 you get 3:1. : )

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3 years ago
What are the values of a and b​
makvit [3.9K]

Answer:

\large\boxed{B.\ a=8,\ b=4\sqrt5}

Step-by-step explanation:

We have three similar triangles:

\triangle ABC\sim\triangle DBA\sim\triangle DAC

therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{BD}{AD}

We have AD = a, CD = 16 and BD = 4. Substitute:

\dfrac{a}{16}=\dfrac{4}{a}              <em>cross multiply</em>

(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8

and other proportion:

\dfrac{AB}{BC}=\dfrac{BD}{AB}

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

\dfrac{b}{20}=\dfrac{4}{b}             <em>cross multiply</em>

(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}

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Step-by-step explanation:

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