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3 years ago

Graph the system of equations. {4x+4y=16 x+6y=−6 Use the Line tool to graph the lines.

Mathematics

1 answer:

tatiyna3 years ago

5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$4x+4y=16$ -----> equation A

$x+6y=-6$ -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

In this problem

The intersection point is $(6,-2)$

therefore

The solution is the point $(6,-2)$

using a graphing tool

see the attached figure

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Which rule describes the x-coordinates in the translation below?.

rosijanka [135]

9514 1404 393

Answer:

(a) x + 0

Step-by-step explanation:

When translation is up or down, the x-coordinate doesn't change. It will be ...

x + 0

6 0

3 years ago

Read 2 more answers

2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is

Maru [420]

Answer: Major arc = ∅/360 (2πr)

Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.

Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.

If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.

Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as

60/360

This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the central angle by the entire length of the circumference.

Therefore you can calculate the measure of major arc ABC by applying the formula

Length of an arc = ∅/360 (2πr)

Where ∅ is the angle enclosing the arc at the center of the circle

r is the radius of the circle and

π is usually given as 3.14 (or 22/7)

Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.

And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;

Angle of major arc = 360 - angle of minor arc

6 0

3 years ago

What is the slope of the graph shown?

astra-53 [7]

Slope is going down so it’s gonna be y=6x+2

6 0

3 years ago

the radius of a cone is 5cm and the height of a cone is 10 cm. what is the approximate volume of the cone? ASAP PLS

NeTakaya

Answer:

261.8

Step-by-step explanation:

8 0

3 years ago

Grade 6 - End of term assessment

sertanlavr [38]

Answer:

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

Step-by-step explanation:

Given

Total length of one roll of ribbon = 9 feet

As the pieces have to be cut into inches, we will convert the measurement in feet to inches

As there are 12 inches in one feet, 9 feet will be equal to:

9*12 = 108 inches

Now first of all, we have to see how many 15 inches pieces can be cut from one role

So,

$=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2$

So the seamstress can cut 7 15-inch long pieces from a roll.

Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:

$= 5 * 7 =35$

Hence,

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

5 0

3 years ago