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coldgirl [10]
3 years ago
7

What is the sum of the linear expression 3x + 9 and 2x + 4

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

5x + 13

Step-by-step explanation:

(3x + 9 ) + (2x + 4)

It's quite simple, we just have to add the parts that have x to each other and those that don't have x to each other

3x + 2x + 9 +4 =

then the result is

5x + 13

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What is the value of the expression when x = 5, y = 4, and z = 3?
Elan Coil [88]
C-75 would be your answer
3 0
3 years ago
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Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio
Galina-37 [17]

Answer:

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is (x_1,y_1)=(-3, 2)

Equation of a circle with center (h,k) and radius 'r' is given as:

(x-h)^2+(y-k)^2=r^2

Here, (h,k)=(5,-4)

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

r^2=(h-x_1)^2+(k-y_1)^2

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100

Now, rewriting it in the form asked in the question, we get

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

4 0
3 years ago
( NEEDED ASAP! )
bulgar [2K]

Answer:

y=3r+5

Step-by-step explanation:

Break up the sentance.

Capon city has 5 more than 3 times as many residents as harbor city.

The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.

Capon city=y

has=equal sign

5 more=+5

3 times as many=3r

y=3r+5

4 0
3 years ago
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Ede4ka [16]

Answer:

Commutative property of multiplication

Step-by-step explanation:

Commutative property of multiplication basically means that the order in which you multiply numbers does not matter.

For exampe:

3 x 4 = 4 x 3

    12 = 12

In your case:

5 x 7 x 4 = 5 x 4 x 7

        140 = 140

If we break that down:

5 x 7 x 4 = 5 x 4 x 7

   35 x 4 = 20 x 7

        140 = 140

4 0
3 years ago
Mount Rushmore is a sculpture that was carved using a model with a scale of 1 in :1 ft. If the model of George Washington’s face
nordsb [41]

Answer:

60 feet but i think the question is written wrong

Step-by-step explanation:


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3 years ago
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