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3 years ago

12

Carolyn determines that the area of a white triangle is half the area of a shaded triangle because the ratio of the side lengths

of a white triangle to a shaded triangle is 3/6. Is Carolyn correct? Explain

1 answer:

KonstantinChe [14]3 years ago

6 0

The answer is the 3rd option

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Which is better: Car A that travels 308 miles on 11 gallons of gasoline OR Car B that travels 406 miles on 14 gallons of gasolin

Jet001 [13]

$\begin{gathered} \text{Car A travels 308 miles on 11 gallons, so, the ratio of miles per galon is} \\ \frac{308}{11}=28\text{ miles per gallon} \\ \\ \text{for the car B, the ratio is} \\ \frac{406}{14}=29\text{ miles per gallon} \end{gathered}$

thus, the best car is car B,because it can tavel 29 miles with only one gallon,andcar A can only travel 28 miles with one gallon.

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1 year ago

X+3y=9. graph using slope and y-intercept

timama [110]

Well, in order to first determine the slope or y-intercept, you must put change the equation to this format: y=mx+b.
m=slope and b=y-interceptI
in order to do that, you must change this equation.

x+3y=9
-x -x
----------
3y=9-x

Then, rewrite it as:

3y=-x+9
_______
3 3

simplify to

y=-x/3 +9

6 0

3 years ago

Read 2 more answers

Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

3 years ago

What’s the least common denominator of 8,12

IceJOKER [234]

Answer: 24

Step-by-step explanation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Hope this helps!!! Good luck!!! :)

4 0

3 years ago

trasher [3.6K]

nuuuu the picture is blocked im on my school computer sorry :(

8 0

3 years ago