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Alexxx [7]
2 years ago
14

Answer these 4 for me please help me step by step

Mathematics
1 answer:
tangare [24]2 years ago
6 0

4.

The equation we have is:

\frac{8}{5}a=-6

To solve for "a", we want to isolate it in one side.

For this. we can start by multiplying each side by 5. This will make the denominator to cancel out:

\begin{gathered} 5\cdot\frac{8}{5}a=5\cdot(-6) \\ 8a=-30 \end{gathered}

Now, we can divide both sides by 8, which will cancel the coefficient 8 multiplying "a":

\begin{gathered} \frac{8a}{8}=-\frac{30}{8} \\ a=-\frac{15}{4} \end{gathered}

And that is the answer to 4.

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Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and
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Step-by-step explanation:

We have got the lines :

y=ax+b\\y=cx+d

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I = (i_{1} ,i_{2})

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We replace the I point in the lines equations:

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0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}

From the second equation :

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Then i_{1}=i_{1}

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y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

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