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3 years ago

Select the correct answer from each drop down menu.

Mathematics

1 answer:

Gnom [1K]3 years ago

7 0

Answer:

(A) $\text{The slope of OA is }\dfrac{4}{3}$

Step-by-step explanation:

Point O is at (0,0)

Point A is at (3,4)

$\text{Slope of OA}=\dfrac{4-0}{3-0} \\m=\dfrac{4}{3}$

The equation of a straight line is in the form: y=mx+b

The y-intercept of the line OA=0

Therefore, we have:

$y=\dfrac{4}{3}x+0\\3y=4x+0\\$Subtract 3y from both sides$\\4x-3y=0$

The equation of the line is: 4x-3y=0

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Syracuse and New York City are 240 miles apart. One car left Syracuse heading for New York City at an average of 65 mph. A secon

bazaltina [42]

Let x be the distance from Syracuse where they pass. The first car travels a distance of x in time x/65 while the second car travels a distance 240-x in time (240-x)/55. They pass at the same time after leaving their starting points so x/65=(240-x)/55.
Cross-multiplying we get: 55x=65(240-x)=15600-65x, 120x=15600, x=15600/120=130 miles.
They pass 130 miles from Syracuse.

6 0

3 years ago

Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.

netineya [11]

(2x-1)(2x-1)
(4x^2+2x+1)(2x-1)

(2x-1) cancels out so

2x-1
4^2+2x+1

8 0

3 years ago

What is the factored form of the polynomal? x2-12x+27

lianna [129]

Answer:

The answer is $(x-9) (x-3)$ .

Step-by-step explanation:

This is because when you multiply them together you get

$x^{2}$ , $-9x$ , $-3x$ , and $27$

When you add the like terms you get,

$x^{2} - 12x +27$

6 0

3 years ago

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 7/8 of the route, and swims the rest of the way. She swims

hjlf

Answer:

12 miles

Step-by-step explanation:

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Total distance Alyssa cycled and ran =

$\frac{4}{5} + \frac{1}{8}$