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2 years ago

—4x + 2y + z — 3x + 2y — 2z

Mathematics

1 answer:

AleksAgata [21]2 years ago

6 0

Answer: x + 4y - z

Step-by-step explanation:

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The area of Jackson’s rectangular garden is 64 square ft. If the length of the garden is 16 ft, what is the width of the garden?

zlopas [31]

Answer:

Step-by-step explanation:

1,280 it ez bro

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3 years ago

Ram noticed three students used 1 2/10 dm of tape.what was the total used for three students???

OLga [1]

Answer:

18/5

Step-by-step explanation:

From my understanding, this is 1 whole 2 upon 10

Step 1: Convert mixed fraction into fraction

Multiply whole number by denominator: 1 x 10 = 10

Add numerator: 10 + 2 = 12

Write the result as the numerator and use the same denominator.

12/10

Step 2: Find the total tape used

From my understanding, each student used 12/10 of the tap

So 3 students used: 12/10 x 3 = 18/5

Therefore, the total tape used for three students was 18/5.

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2 years ago

Write 15+45 as a product of two factors using the gcf and the distributive property

valkas [14]

Answer:

15(1 + 3)

Step-by-step explanation:

15 written in its prime factors is 3 × 5 (15 × 1)

45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

Hope this helps! Make me brainiest, lol it's fine if you don't. : )

5 0

1 year ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

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2 years ago

Multiply: (-3x - 6)(3x2 - 6x + 3)

VladimirAG [237]

-9 • (x + 2) • (x - 1)2

8 0

3 years ago

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