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4 years ago

Plot the following three points to create a rectangle. Find the missing vertex: (6,1); (-4,1); (-4,-3)

Mathematics

1 answer:

nignag [31]4 years ago

3 0

Answer:

The missing vertex is (6, -3).

Step-by-step explanation:

Notice that if you graph the points, the first two points (6, 1) and (-4, 1), the y-coordinates are the same, and in the points (-4, 1) and (-4, -3) the x-coordinates are the same.

To make a rectangle, the fourth point need to have matching y-coordinates with the point (-4, -3) and matching x-coordinates with the point (6, 1). Therefore, the missing vertex is (6, -3).

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The surface area of a solid is 10 square feet. The dimensions of a similar solid are

maxonik [38]

Answer:

90 ft²

Step-by-step explanation:

Given the sides of similar figures in the ratio a : b, then

ratio of areas = a² : b²

Here ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the surface area of the new solid is 9 times the first

SA = 9 × 10 = 90 ft²

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3 years ago

A tree on a hillside casts a shadow c = 220 ft down the hill. if the angle of inclination of the hillside is b = 15° to the hori

MAXImum [283]

The height of the tree is 45ft

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3 years ago

Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much a

Naya [18.7K]

The cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the brush cost is $B, the sketchbook cost is $S, and the paint set cost is $P.

From the problem, we can draw three linear equations in three variables:

The brush was 1/6 as much as the sketchbook:

B = (1/6)S or

6B - S = 0 ...(1)

The sketchbook cost 3/4 the cost of the paint set

S = (3/4)P or

4S - 3P = 0 ...(2)

The total cost would be:

B+S+P = 35.75 - 2

B+S+P = 33.75 ...(3)

After solving equations (1), (2), and (3) we will get the cost of each item:

B = $2.25

S = $13.50

P = $18

Thus, the cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.

Learn more about the linear equation here:

brainly.com/question/11897796

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3 years ago

Please answer this math question please and fast

larisa86 [58]

I need the problem to answer

6 0

3 years ago

Read 2 more answers

A bus has velocity 20 m/s towards east and another bus has velocity 15 m/s in west direction. If they start to move from a point

Mashutka [201]

Answer:

<em>The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m</em>

Step-by-step explanation:

<u>Constant Velocity Motion</u>

A bun has a velocity of 20 m/s towards the east. It means it travels 20 meters each second in that direction. Assuming the east direction is positive, the distance traveled by this bus can be calculated as follows:

X1=20*t

Where t is the time in seconds.

Similarly, the distance traveled by the second bus towards the west is:

X2=-15*t

Note the negative sign because the direction points at the negative reference.

After 2 minutes = 120 seconds have passed, the distance of each bus is

X1= 20*120=2,400 m

X2=-15*120 = 1,800 m

They are separated by 2,400-(-1,800) = 4,200 m

The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m

6 0

3 years ago