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vlada-n [284]
3 years ago
11

Solve the following equation 3m^2=3-8m. Find both values

Mathematics
1 answer:
Len [333]3 years ago
7 0

3m² = 3 - 8m
0 = 3m² + 8m - 3
0 = (3m - 1 )(m + 3)

m = -3, 0.33

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otez555 [7]

Answer: The post office is 32 feet tall.

Step-by-step explanation:

We set up a proportion : 10ft/15ft = xft/48ft

In this equation "x" is the height of the post office. After setting up a proportion with the size of the buildings on the top (numerator) and the shadows of each building on the bottom (denominator) we cross multipy to get our equation to find x. We then divide both sides of the equation by 15 to get our answer.

\frac{10}{15}=\frac{x}{48} \\15x=10*48\\15x=480\\x=32

8 0
2 years ago
The distance between point (-6,-4) and (-6,5)
trasher [3.6K]

Answer:

9 i think

Step-by-step explanation:

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2 years ago
Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin
aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the y = 4x  and  y = \frac{x^{2} }{4}.

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

4x = \frac{x^{2} }{4} \\   x^{2}  = 16x \\ x^{2}  - 16x = 0 \\   x(x-16) = 0 then x=0  o  x=16. Therefore the integration limits are:

y = 4(0) = 0  and  y = 4(16) = 64

The inverse functions are given by:

x = 2 \sqrt{y}  and  x = \frac{y}{4}. Then

The volume of the solid of revolution is given by:

\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2}  dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\  dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}

6 0
4 years ago
In DEF, FE=13 and m(angle)F=34. Find DF to the nearest tenth
kiruha [24]
A.15.7
 is the answer because fe is 13

7 0
4 years ago
Read 2 more answers
What does y equal ??!?!
garik1379 [7]
<h3>Answer:  658.3</h3>

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

Explanation:

The adjacent complementary angle to that 28 degree angle is 62 degrees because 62+28 = 90.

If the reference angle is the upper acute angle 62 degrees, then the y is the opposite leg and the side 350 is the adjacent leg.

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(62) = y/350

350*tan(62) = y

y = 350*tan(62)

y = 658.254262871217

y = 658.3

3 0
3 years ago
Read 2 more answers
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