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2 years ago

What is the solution for the systems of equations below?

1 answer:

3 0

Use elimination
3x + 4y = -2
2x - 4y = -8
Add both equations
5x = -10, x = -2
3(-2) + 4y = -2
-6 + 4y = -2
4y = 4, y = 1
Solution: x = -2, y = 1

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Alisiya [41]

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3 0

3 years ago

What is the measure of ∠A?

riadik2000 [5.3K]

Answer:

A = 60.07°

Step-by-step explanation:

Sin A = $\frac{opposite}{hypotenuse}$

Sin A = $\frac{13}{15\\}$

Sin A = 0.867

A = Sin⁻¹ 0.867

A = 60.07°

6 0

2 years ago

Given a circle with a radius of 6, what the the length of an arc measuring 30 degrees

Mazyrski [523]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =30
\end{cases}\implies s=\cfrac{30\cdot \pi \cdot 6}{180}\implies s=\pi$

6 0

3 years ago

Figure ABCD is transformed to obtain figure A′B′C′D′:

Kisachek [45]

Step-by-step explanation:

part A:

ABCD is transformed to obtain figure A′B′C′D′:

1) by reflection over x-axis, obtain the image :

A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)

2) by translation T (7 0), obtain the image :

A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)

part B:

the two figures are congruent.

the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)

6 0

2 years ago

Mr. and Mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonth

Bogdan [553]

Answer:

$103968.11

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

where

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

Now,

Hence, the interest is $103968.11.

6 0

3 years ago