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Marat540 [252]
4 years ago
8

What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?

Mathematics
1 answer:
Tresset [83]4 years ago
8 0

Answer:

y = 4x + 16 (fourth answer choice)

Step-by-step explanation:

From the given equation we can immediately discern that the slope of these lines is 4 (as they are parallel).

Starting with the slope-intercept formula y = mx + b, we get:

32 = 4(4) + b, or 16 = b, or y = 4x + 16

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A flagpole broke in a storm. It was originally 81 8181 feet tall. 28 2828 feet are still sticking straight out of the ground, wh
solong [7]

Answer:

The end of the flagpole is 50.79 ft away from the base of the pole.

Step-by-step explanation:

The problem is represented by the diagram below.

The broken flagpole forms the shape of a right angled triangle. We need to find one of the sides of the triangle, the adjacent (x).

The hypotenuse is the broken part of the flagpole (53 ft), while the opposite is the part of the flagpole that is still stuck to the ground (28 ft).

Using Pythagoras theorem, we have that:

hyp^2 = adj^2 + opp^2

=> 53^2 = x^2 + 28^2

3364 = x^2 + 784\\\\=> x^2 = 3364 - 784\\\\x^2 = 2580\\\\x = \sqrt{2580}\\ \\x = 50.79 ft

The end of the flagpole is 50.79 ft away from the base of the pole.

7 0
3 years ago
7. If the volume of a cylinder, where the height is 3 times the radius, is 247, find the surface area of the cylinder.
lakkis [162]

Answer:

3.87987×10^5

Step-by-step explanation:

surface area of the cylinder =2πrh+2πr²

=2*π*247*3+2*π*(247)²

=3.87987×10^5

7 0
3 years ago
Which set of three numbers could be the side lengths of a triangle?
Tresset [83]

Answer:

<h2>А. 3, 5, 7</h2><h2 />

Step-by-step explanation:

Because

7 - 3 = 4

7 + 3 = 10

then

7 - 3 < 5 < 7 + 3

the 3 other cases don’t fit with this rule.

5 0
4 years ago
Compare the pair of fractions. ( &lt;,&gt;,=) <br> 3/4__5/6
Andrew [12]

Answer:

3/4 is less < than 5/6

Step-by-step explanation:

4 0
3 years ago
0.3y+ z y ​ 0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals, 10 and z=5z=5z, equals,
artcher [175]

Answer:

  5

Step-by-step explanation:

Substitute the given values and do the arithmetic.

  0.3y+\dfrac{y}{z}=0.3\cdot 10+\dfrac{10}{5}=3+2=\boxed{5}

4 0
4 years ago
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