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3 years ago

Find the slope of the line that passes through the pair of points. (4, 5), (10, 0) 5/6 -5/6 -6/5 6/5

1 answer:

4 0

Use the slope formula $\dfrac{y_2-y_1}{x_2-x_1}$ and plug in the values for x and y.
$\dfrac{0 - 5}{10 - 4} = \dfrac{-5}{6}$

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Graph the system of equations using technology. What is the x-coordinate of the solution? Round to the nearest hundredth.

Fiesta28 [93]

The x - coordinate of the solution is $x=5.83$

Explanation:

The two equations are $2 x-11 y=4$ and $3 x-5 y=14$

The image attached below shows the solution of the two equations.

The x - coordinate of the solution can be determined using substitution method.

Let us substitute $3 x-5 y=14$ ⇒ $y=-\frac{(14-3x)}{5}$ in the equation $2 x-11 y=4$

Thus, we have,

$2x-11(-\frac{(14-3 x)}{5})=4$

Simplifying, we get,

$2x+\frac{154}{5}-\frac{33x}{5} =4$

Adding the like terms, we have,

$-\frac{23x}{5} +\frac{154}{5} =4$

$\frac{1}{5} (-23x+154)=4$

Multiplying both sides by 5, we have,

$-23x+154=20$

$-23x=-134$

$x=5.826$

Rounding off to the nearest hundredth, we get,

$x=5.83$

Hence, the x - coordinate of the solution is $x=5.83$

4 0

4 years ago

A carpenter had two pieces of lumber that totaled 55 feet in length. The shorter piece was 12 feet

dimulka [17.4K]

The equation to find the length of the longer piece is

x- 12 = 55

Step-by-step explanation:

A carpenter had two pieces of lumber that totaled in length = 55 feet
The shorter piece than the longer piece has length of which is = 12 feet
The longer piece is denoted as= x
Find x = ?
The equation can be formed to find the value of x as,
Longer piece (x) ₋ shorter piece (12) = total length (55)
Therefore, x ₋ 12 = 55
the above equation states that
if you subtract the shorter piece from the total length of the you will get the length of the longer piece.
therefore,
if you shift the value of shorter length on the right hand side, you can find the value of x
so, x= 55 ₋ 12
value of x = 43
therefore, the length of the longer piece is 43 feet long.

6 0

4 years ago

Is {(3,4),(3,5),(4,4), (4,5)} a function

Sholpan [36]

Answer:

No, it's not a function.

Step-by-step explanation:

This is not a function because the x-inputs repeat. It would be a function if each x-input was a different number, but the inputs 3 and 4 repeat twice. Therefore, this is not a function.

3 0

3 years ago

Read 2 more answers

Does anyone know this question

ivanzaharov [21]

the answer is B because it is 90° to the left (i guessed, srry for takin ya points dawg)

5 0

4 years ago

Read 2 more answers

M24 = 115º. Solve for the indicated angle measure. If you answer all I will give brainlist

tia_tia [17]

Answer: m<1= 115