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max2010maxim [7]
3 years ago
4

Which line is parallel to the line 8x + 2y = 12? On a coordinate plane, a line goes through (negative 2, negative 4) and (0, 4).

On a coordinate plane, a line goes through (negative 1, 1) and (3, 0). On a coordinate plane, a line goes through (negative 2, 2) and (negative 1, negative 2). On a coordinate plane, a line goes through (negative 3, 2) and (1, 3).
Mathematics
2 answers:
MrRissso [65]3 years ago
8 0

Answer:

C.

On a coordinate plane, a line goes through (negative 2, 2) and (negative 1, negative 2).

Kisachek [45]3 years ago
4 0

Answer:

On a co-ordinate plane, a line which goes through (-2,2) and $(-1,-2)$.

Step-by-step explanation:

Slopes of parallel lines are equal.

Slope of the given line is $-4$

Find the slopes of the lines in the options and the one which has slope $-4$ is your required parallel line.

Slope= $\frac{2-(-2)}{-2-(-1)}=\frac{4}{-1}=-4$

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The length of a shadow of a tree is 150 feet when the angle of elevation of the sun is 39°. Approximate the height of the tree.
fomenos

Answer:

The height of tree is approximately 121.5 feet.

Step-by-step explanation:

We are given following in question:

Length of shadow = 150 feet

Angle of elevation of the sun =

\theta = 39^\circ

The tree and the shadow forms a right angled triangle.

Thus, with the help of trigonometric relation, we can write:

\tan \theta = \dfrac{\text{Height of tree}}{\text{Length of shadow}}

Let x feet be the height of tree.

Putting all the values, we get,

\tan 39^\circ = \dfrac{x}{150}\\\\0.80978 = \dfrac{x}{150}\\\\\Rightarrow x = 150\times 0.80978\\\Rightarrow x = 121.467 \approx 121.5

Thus, the height of tree is approximately 121.5 feet.

6 0
4 years ago
A recipe for trail mix calls for a ratio of 4 to 1 of M&M's to sunflower seeds by weight. How many ounces of sunflower seeds
Crank

A recipe for trail mix calls for a ratio of 4 to 1 of M&M's to sunflower seeds by weight. How many ounces of sunflower seeds will there be in this mixture if there are 2 pounds of M&M's?​

7 0
4 years ago
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The ratio of the heights 1.50 cm and 75 cm of two person can be written as​
melamori03 [73]

Answer:

1 : 50

Step-by-step explanation:

1.50 : 75

Multiply by 2 so there are no decimals.

3 : 150

Divide by 3 to simplify.

1 : 50

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mariarad [96]
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Jet001 [13]
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