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marissa [1.9K]
3 years ago
13

Consider the point.

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

Answer:

(4,5,0)

(0,5,6)

(4,0,6)

Step-by-step explanation:

The projection of the point on the plane can be determined as:

xy-plane, z=0.

(x,y,z)=(x,y,0)=(4,5,0)

yz-plane, x=0.

(x,y,z)=(0,y,z)=(0,5,6)

xz-plane, y=0.

(x,y,z)=(x,0,z)=(4,0,6)

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What is the equation of the line that is parallel to the line y =-1\3
PilotLPTM [1.2K]

Hello!

If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.

This means that the new equation must have a slope of -1/3.

Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.

y = -1/3x + b (6, 5)

5 = -1/3(6) + b

5 = -2 + b (add 2 to both sides)

7 = b

Therefore, the equation of the line is y = -1/3x + 7.

5 0
3 years ago
Michelle has a jar of quarters and dimes totalling to 3.10 if there are sixteen coins in the jar how many more quarters are ther
Sav [38]
Q + d = 16....q = 16 - d
0.25q + 0.10d = 3.10

0.25(16 - d) + 0.10d = 3.10
4 - 0.25d + 0.10d = 3.10
-0.25d + 0.10d = 3.10 - 4
-0.15d = -0.90
d = -0.90/-0.15
d = 6...dimes

q + d = 16
q + 6 = 16
q = 16 - 6
q = 10...quarters

so there are (10 - 6) = 4 more quarters then dimes
5 0
3 years ago
The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion corr
ikadub [295]

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

<h3>How to get the volume of the smaller solid?</h3>

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

If you want to learn more about scale factors:

brainly.com/question/3457976

#SPJ4

6 0
2 years ago
Read 2 more answers
What number would you add to both sides of x2 + 7x = 4 to complete the square?
Nata [24]

Answer:

12.5

Step-by-step explanation:

(7/2) = 3.5

(3.5)^2 = 12.5

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B16%7D%20%2A%20100" id="TexFormula1" title=" \frac{20}{16} * 100" alt=" \f
mart [117]
125% because sixteen is equal to a whole which is equal to one-hundered and one fourth of sixteen is four and sixteen plus four is twenty. one fourth of one-hundered is twenty-five so you add the twenty-five to the one-hundered and you get 125%
8 0
3 years ago
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