What is the solution to this system of linear equations?2x + y = 13x – y = –6(–1, 3)(1, –1)(2, 3)(5, 0)

1 answer:

5 0

$\underline{+\left\{\begin{array}{ccc}2x+y=1\\3x-y=-6\end{array}\right}\ \ \ \ |\text{add both sides of equations}\\.\ \ \ \ \ 5x=-5\ \ \ \ |:5\\.\ \ \ \ \ \ x=-1\\\\\text{put the value of x to the first equation}\\\\2(-1)+y=1\\-2+y=1\ \ \ |+2\\y=3\\\\\text{Answer:}\ (-1,\ 3)$

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A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 3.63 m/s. Four seconds later,

castortr0y [4]

From the moment the friend passes the bicyclist, his friend covers a distance over time t of (3.63 m/s)*t.

The bicyclist covers a distance of 1/2*(2.11 m/s^2)*t^2. They meet when these distances are equal:

3.63 t = 1.055 t^2 ==> 1.055 t^2 - 3.63 t = 0

==> t = 0 s or t = 3.44 s

5 0

3 years ago

the concrete slab under a garage measures 38 feet by 37 feet and is 6 inches thick. if concrete costs 150$ for a cubic yard, how

Natalka [10]

STEP 1
find cubic feet; multiply the three dimensions together; be sure to use the same unit of measure for all three dimensions: 6 inches is equal to 1/2'.

= 38' * 37' * 1/2'
multiply

= 703 cubic feet

STEP 2
divide cubic feet in step 1 by number of cubic feet in a cubic yard

27 cubic feet= 1 cubic yard

= 703 ÷ 27
= 26.037 cubic yards

STEP 3
multiply cubic yards in step 2 by cost per cubic yard

= 26.037 * $150
= $3,905.555
= $3,906 rounded to nearest dollar

ANSWER: It will cost $3,906 (rounded to nearest dollar).

Hope this helps! :)

3 0

3 years ago

Read 2 more answers

I need help on this.. And I will give you a BRANILIST if you the first one with the right answer

AlekseyPX

Answer:

0.1

Step-by-step explanation:

(9,4) (5,1) $\frac{y_{2} y_{1} }{x_{2} x_{1} }$ , plug in the numbers, $\frac{(1)(4)}{(5)(9)}$ = $\frac{4}{40} or \frac{1}{10}$ , to write it as a decimal, you divide the numerator by the denominator, 0.1