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Lubov Fominskaja [6]
3 years ago
13

Solve the system of equations given below. y - 15 = 3 -2.1 + 5y = -3

Mathematics
1 answer:
EastWind [94]3 years ago
3 0

Answer:

1) y=18

2)y=-0.18

Step-by-step explanation:

1) y-15=3. Add 15 on both sides.

y=18

2)-2.1+5y=-3. Add 2.1 on both sides

5y=-0.9. Divide 5 on both sides

y=-0.18

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3x+2 = 6x-13 what is x
astra-53 [7]

Step-by-step explanation:

3x + 2 = 6x - 13

3x - 6x =  - 13 - 2

- 3x =  - 15

x =  \dfrac{15}{3}

x = 5

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3 years ago
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HELP PLEASE! AND IF YOU COULD PLEASE EXPLAIN IM CONFUSED
Damm [24]

In the given triangle, y = 32°.

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.

sin y = \frac{oppositeside}{hypotenuseside}.

Step 2; Length of the opposite side = 9 cm.

Length of the hypotenuse side = 17 cm.

sin y = \frac{oppositeside}{hypotenuseside} = \frac{9}{17} = 0.5294.

We can multiply inverse sine on both sides to solve y.

y = sin^{-1} (0.5294) = 31.9657°.

Rounding this off to the nearest tenth we get, y = 32.0°.

6 0
3 years ago
Use the line tool to graph the equation on the coordinate plane.<br><br> y=−2x
gregori [183]

y = mx +b


y = -2x +0

the y intercept is 0

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Express your answer as a polynomial in standard form.
NikAS [45]

Answer:

x² + 16x + 64

Step-by-step explanation:

To find f(g(x)) , substitute x = g(x) into f(x), that is

f(x + 7)

= (x + 7)² + 2(x + 7) + 1 ← expand (x + 7)² using FOIL

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A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is t
vesna_86 [32]

Answer:

Volume of the piece in the picture = 350 cubic inches

Volume of the remaining piece = 300 cubic inches

Step-by-step explanation:

Given question is incomplete without the picture; here is the picture as an attachment.

Volume of the rectangular prism = Length × width × height

V = 5 × 13 × 10

  = 650 cubic inches

Now volume of the piece given in the picture = Volume of prism at the base + Volume of the prism with triangular base

= 10×5×1 + (\text{Area of the triangular base})\times (\text{Height})

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Volume of the other piece = 650 - 350

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