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jek_recluse [69]
3 years ago
12

Solve the system of equations. \begin{aligned} &-6y+11x = -36 \\\\ &-4y+7x=-24 \end{aligned} ​ ​ ​ ​​ ​−6y+11x=−36 ​−4y+

7x=−24 ​​
SAT
1 answer:
lesya [120]3 years ago
8 0
-6y + 11x = -36....multiply by 4
-4y + 7x = -24....multiply by -6
-----------------
-24y + 44x = - 144 (result of multiplying by 4)
24y - 42x = 144 (result of multiplying by -6)
----------------add
2x = 0
x = 0

-4y + 7x = -24
-4y + 7(0) = -24
-4y = -24
y = -24/-4
y = 6

solution is (0,6)
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The correct answer to what additional measurement the student requires is; D. The student has enough information to make the determination

<h3>Understanding Change in Momentum</h3>

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*SAT QUESTION*
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Answer and Explanation:

Greetings!

Let's~answer~your~question!

Triangle~ ABC ~is ~a ~right~ triangle~ with ~its~ right~ angle ~at ~B. ~Therefore,~AC\\is~ the~ hypotenuse~ of~ right~ triangle~ ABC,~ and~ AB ~and ~BC ~are~ the~ legs~ of~ right~\\ triangle ~ABC.

According~ to~ the~ Pythagorean ~theorem,

AB=\sqrt{20^2-16^2}=\sqrt{400-256}=\sqrt{144}=12

Since ~triangle~DEF~is ~similar~ to~ triangle~ ABC,~ with~ vertex ~F ~corresponding~to~ vertex~ C,~ the~ measure\\ of~angle~ \angle F~equals~ the~ measure~ of~ angle~\angle C.

Therefore,~ sinF=sinC. ~From ~the~ side~ lengths~ of ~triangle~ ABC,

sinF=\frac{opposite ~side}{hypotenuse} =\frac{AB}{AC} =\frac{12}{20}=\frac{3}{5}

Therfore, ~sinF=\frac{3}{5}~or~0.6

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