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3 years ago

Which algebraic expression models the given word phrase? 6 times the sim of a and b

Mathematics

1 answer:

Galina-37 [17]3 years ago

3 0

The answer is 6(a + b)
Hope this helps.
Brainliest Please!

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Find an equation of the line in the form ax+by=c whose x-intercept is 12 and y-intercept is 4, where a, b, and c are integer

Lostsunrise [7]

Answer:

The equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form $ax+by=c$ where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as $(x,0)$

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as $(0,y)$ .

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

So, slope of the line can b given as:

$m=\frac{4-0}{0-12}$

$m=\frac{4}{-12}$

$m=-\frac{1}{3}$

The slope intercept form of the equation of he line is given as:

$y=mx+b$

where $m$ represents slope of the line and $b$ represents the y-intercept.

So, the equation of the line can be given as:

$y=-\frac{1}{3}x+4$

Multiplying each term by 3 to remove fraction.

$3y=3.-\frac{1}{3}x+4(3)$

$3y=-x+12$

Adding $x$ both sides.

$3y+x=-x+x+12$

$3y+x=12$

Thus, the equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

8 0

3 years ago

How to solve 3+5 (c+3)=-17

BlackZzzverrR [31]

3 + 5(c + 3) = -17

First, subtract 3 from both sides. / Your problem should look like: $5(c + 3) = -17 - 3$
Second, simplify -17 - 3 to get -20. / Your problem should look like: $5(c + 3) = -20$
Third, divide both sides by 5. / Your problem should look like: $c + 3 = -\frac{20}{5}$
Fourth, simplify $\frac{20}{5}$ to 4. / Your problem should look like: $c + 3 = -4$
Fifth, subtract 3 from both sides. / Your problem should look like: $c = -4 - 3$
Sixth, simplify -4 - 3 to get -7. / Your problem should look like: $c = -7$

Answer: c = -7

4 0

2 years ago

Read 2 more answers

Which statement is TRUE about the best measure of center to use when describing the data set?

Rudik [331]

C because median is all about the middle

5 0

3 years ago

Riley bought a plant and planted it in a pot near a window in her house. The initial height of the plant was 6 inches and it gre

Softa [21]

Answer:

haha thanks for the points btw the answer is. h2t=th6