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3 years ago

What is (3x+12)-(6x+5)

Mathematics

1 answer:

yaroslaw [1]3 years ago

7 0

Answer: -3x + 7

Step-by-step explanation: All you have to do is combine like terms

First, you combine 3x - 6x which, will give you -3x

Second, you combine 12 - 5 which will give you 7

3x - 6x = -3x

12 - 5 = 7

So, combine the answers and you will get -3x + 7

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A cylindrical jar of peanut butter measures 7 cm in diameter and 12 cm in height. If 1 cm³ = 0.034 ounce,

olga55 [171]

Radius=r=7/2=3.5cm
h=12cm

Volume

πr²h
π(3.5)²(12)
12π(12.25)
461.58cm³

Convert to ounces

461.58×0.034
15.7oz
16oz

Option C

8 0

2 years ago

Read 2 more answers

I WILL IVE U 5 STARS

matrenka [14]

Answer:

A. 1 rectangle, 2 triangles

B. AB = AE = 5

C. 36.5 square units

Step-by-step explanation:

The attached figure shows 1 rectangle (square) and two triangles.

These sides are aligned with the grid, so their length is simply the difference in coordinates along the line:

AB = 2 -(-3) = 5

AE = 3 -(-2) = 5

The area of the square is ...

A = s^2 = 5^2 = 25

The area of triangle BCF is ...

A = 1/2bh = 1/2(3)(5) = 15/2

The area of triangle CDE is ...

A = 1/2bh = 1/2(8)(1) = 4

The total area is the sum of the areas of the square and two triangles:

total area = 25 +7.5 +4 = 36.5 . . . square units

_____

<em>Additional comment</em>

We note that segment CE divides the figure into <em>trapezoid</em> ABCE and <em>triangle</em> CDE. The trapezoid has bases 5 and 8, and height 5, so its area is ...

A = 1/2(b1 +b2)h = 1/2(5 +8)(5) = 32.5

Triangle CDE has the same area as computed above, 4 square units. So, the total area of the figure is ...

32.5 +4 = 36. 5 . . . . square units

4 0

3 years ago

Determine whether b is in the column space of A. If it is, then write b as a linear combination of the column vectors of A. (Use

mihalych1998 [28]

Answer:

b=(13/4, -27/4, -4)

Step-by-step explanation:

A.x=b

x=(a, b, c)

a - b + 2c = 2

3a + b + 0 = 3

0 + 0 + c = -4

solving this system

c=-4

a-b=10, 3a+b=3

a=10+b, 3(10+b)+b=3

b=-27/4

a=10-27/4

a=13/4

7 0

4 years ago

Anybody help me please!!!!!!!!!!!!!!!

Elodia [21]

Answer:

Reflection over the X axis.

8 0

3 years ago

Use the distance formula to determine the distance between (-8,10) and (-6,7)

hjlf

Answer:

Distance: $\sqrt{13}$ units

Step-by-step explanation:

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where:

$d$ is the distance between points $(x_1,y_1)$ and $(x_2,y_2)$
$(x_1,y_1)$ are the coordinates of the first point
$(x_2,y_2)$ are the coordinates of the second point

We are given that:

$(x_1,y_1)=(-8,10)$
$(x_2,y_2)=(-6,7)$

To determine the value of our distance, $d$ , we plug in our given information into the formula and solve for

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-6-(-8))^2+(7-10)^2}$

$d=\sqrt{(-6+8)^2+(-3)^2}$

$d=\sqrt{(2)^2+(-3)^2}$

$d=\sqrt{4+9}$

$d=\sqrt{13}$

Therefore, the distance between $(-8,10)$ and $(-6,7)$ is $\sqrt{13}$ units.

See the attached graph for a visual.

5 0

3 years ago