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3 years ago

How to solve it using elimination

Mathematics

1 answer:

gregori [183]3 years ago

8 0

X=3
y=5

You have to cancel out either the x values or the y values (I chose y). You multiply both equations by particular numbers so either the x values or y values can be equal to each other, as well as positive or negative to each other. I multiplied -7y by 4 and 4y by 7, and got -28y and 28y. I then canceled those out. The numbers you multiply by also affects the rest of the equations, so I ended up with 48x=4 and -35x=35. After that, you combine like terms, which results in 13x=39. You divide 13 by both sides and you end up with x=3. To find y, all you have to do is plug in the x value to one of the equations, then solve for y. I resulted in y=5.

Hope this helped ^_^

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NO WRONG ANSWERS Two customers took out car loans from a bank. Marcus took out a 5-year loan for $10,000 and paid 4.7% annual si

Gennadij [26K]

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Step-by-step explanation:

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3 years ago

Sarah has 12 bags of apples. Mikaela has 17 bags of apples. Each bag has the same amount of apples inside. Wrie an expression fo

hodyreva [135]

The expression for the total amount of apples is 29x

Solution:

Given that,

Sarah has 12 bags of apples

Mikaela has 17 bags of apples

Each bag has the same amount of apples inside

Let "x" be the number of apples in each bag

Then,

Sarah has 12x apples

Mikaela has 17x apples

Wrie an expression for the total amount of apples

Total amount of apples = 12x + 17x

Then simplify it using the distributive property to create an equivalent expression

By distributive property,

a(b + c) = ab + bc

Therefore,

$12x+17x = x(12+17)\\\\12x+17x = 29x$

Thus expression for the total amount of apples is 29x

8 0

3 years ago

CAN SOMEONE PLS ANSWER-If W(- 10, 4), X(- 3, - 1) , and Y(- 5, 11) classify AEXY by its sides . Show all work to justify your an

AnnZ [28]

Answer:

WX = $\sqrt{74} \approx 8.6023253\\\\$
XY = $2\sqrt{37} \approx 12.1655251\\\\$
WY = $\sqrt{74} \approx 8.6023253\\\\$
Classify: Isosceles

============================================================

Explanation:

Apply the distance formula to find the length of segment WX

W = (x1,y1) = (-10,4)

X = (x2,y2) = (-3, -1)

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-3))^2 + (4-(-1))^2}\\\\d = \sqrt{(-10+3)^2 + (4+1)^2}\\\\d = \sqrt{(-7)^2 + (5)^2}\\\\d = \sqrt{49 + 25}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\$

Segment WX is exactly $\sqrt{74}$ units long which approximates to roughly 8.6023253

-------------------

Now let's find the length of segment XY

X = (x1,y1) = (-3, -1)

Y = (x2,y2) = (-5, 11)

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-5))^2 + (-1-11)^2}\\\\d = \sqrt{(-3+5)^2 + (-1-11)^2}\\\\d = \sqrt{(2)^2 + (-12)^2}\\\\d = \sqrt{4 + 144}\\\\d = \sqrt{148}\\\\d = \sqrt{4*37}\\\\d = \sqrt{4}*\sqrt{37}\\\\d = 2\sqrt{37}\\\\d \approx 12.1655251\\\\$

Segment XY is exactly $2\sqrt{37}$ units long which approximates to 12.1655251

-------------------

Lastly, let's find the length of segment WY

W = (x1,y1) = (-10,4)

Y = (x2,y2) = (-5, 11)

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-5))^2 + (4-11)^2}\\\\d = \sqrt{(-10+5)^2 + (4-11)^2}\\\\d = \sqrt{(-5)^2 + (-7)^2}\\\\d = \sqrt{25 + 49}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\$

We see that segment WY is the same length as WX.

Because we have exactly two sides of the same length, this means triangle WXY is isosceles.

8 0

3 years ago

Kako put 3 4/10 bags of fertilizer on the front lawn and 2 2/3 bags of fertilizer on the back lawn. How many bags of fertilizer

earnstyle [38]

Ok. Since the fractions aren't the same, we have to make them common. They both have 30 in common.
4/10 = 12/30 I multiplied this 4 by 3 since I did 10 times 3.
2/3 = 20/30 Same with this one. Since 3 times 10, 2 times 10
Now you add the things to get 32/30, simplify to 1 2/30, and again to get 1 1/15.
Now add
3+2+1/15 = 6 1/15
He used 6 1/15 bags of fertilizer.

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3 years ago

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Sidana [21]

Answer:

EF = 3.43

Step-by-step explanation:

Sin θ = opposite / hypotenuse

Sin 26 = EF / 4.5

0.762 × 4.5 = EF

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3 years ago