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3 years ago

Simplify the expression: 6(20 + 1) =

Mathematics

1 answer:

Vanyuwa [196]3 years ago

3 0

Answer: 126

Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses

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Answer as many as you can please (write in slope-intercept form)

RoseWind [281]

Answer: See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{1-13}{3-(-6)} =\frac{-12}{9}$

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

$y=-\frac{12}{9} x+b$

$3=-\frac{12}{9}(1)+b$

$-\frac{9}{4} =b$

The slope-intercept form is $y=-\frac{12}{9} -\frac{9}{4}$ .

For the third one, we are already given the slope, so all we have to do is find b.

$y=-\frac{1}{2}x +b$

$-7=-\frac{1}{2} (-4)+b$

$-7=2+b$

$-9=b$

The slope-intercept form is $y=-\frac{1}{2} x-9$ .

For the last one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{-8-2}{3-1}=\frac{-10}{2} =-5$

Now that we have our slope, we can plug it into our slope-intercept form and find b.

$y=-5x+b$

$2=-5(1)+b$

$2=-5+b$

$7=b$

Our slope-intercept form is $y=-5x+7$ .

4 0

3 years ago

Solve the following system of equations graphically.<br> y=3x+4<br> y=-2x-5

ExtremeBDS [4]

Answer:

(x, y) = (-1.8, -1.4)

Step-by-step explanation:

3 0

2 years ago

Which is the volume formula for a rectangular prism with a base of 26 square feet and a height of 10 feet

AleksAgata [21]

Answer:

Step-by-step explanation:

Given the length, width and height find the volume, surface area and diagonal of a rectangular prism

h, l and w are known; find V, S and d

V = lwh

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism

S, l and w are known; find h, V and d

h = (S - 2lw) / (2l + 2w)

V = lwh

d = √(l2 + w2 + h2)

3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism

V, l and w are known; find h, S and d

h = V / lw

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism

d, l and w are known; find h, V and S

h = √(d2 - l2 - w2)

V = lwh

S = 2(lw + lh + wh)

4 0

3 years ago

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Simplify the expression<br> 6x + 2x =

Aleks04 [339]

the answer should be 8x

4 0

3 years ago

A horizontal line on a distance-time graph indicates ________.

xxMikexx [17]

A distance-time graph tells us how far an object has moved with time. The steeper the graph, the faster the motion. A horizontal line means the object is not changing its position - it is not moving, it is at rest. A downward sloping line means the object is returning to the start.

4 0

3 years ago

Read 2 more answers