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Alja [10]
3 years ago
11

What is the slope of a line parallel to the line 2x + 3y = 5?

Mathematics
2 answers:
babunello [35]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Parallel lines have same slope

Write the equation in slope - intercept form

2x + 3y =5

       3y = -2x + 5

Divide the equation by 3

    y = \frac{-2}{3}x +\frac{5}{3}

So, slope = (-2/3)

SOVA2 [1]3 years ago
6 0

i think its 2/3 but im not sure .

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I think it would be 35
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Decide which of the triangles are a right triangle. The figures are now drawn to scale
Kruka [31]

Answer: triangle A

Step-by-step explanation:

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3 0
3 years ago
On the blueprint of a house, 40 millimeters represents 6 meters. The length of the living room is 50 millimeters on the blueprin
Novay_Z [31]

Answer:

Convert the meters to millimeters

1m = 1000mm

6m = 6000mm

40mm represents 6000mm

Find the scale factor

6000/40 = 150

This means 40 * 150 = 6000

Yup find what 50mm represents:

50 * 150 = 7500

7500mm

7.5m

6 0
3 years ago
A village fete has a children’s running race each year, run in heats of up to ten children. For each heat the first three contes
bekas [8.4K]

Answer:  1) 1/3,654     2) 3/406     3) 72,684,900,288,000      4) 120

<u>Step-by-step explanation:</u>

1)         First       and        Second         and         Third

  \dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}

2)         First       and          Second

   \dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}

3)\quad \dfrac{29!}{(29-10)!}=\large\boxed{72,684,900,288,000}

4)\quad _{10}C_3=\dfrac{10!}{3!(10-3)!}=\large\boxed{120}

8 0
3 years ago
A system of equations is given below. For what value(s) of x is f(x)=g(x) ?
NARA [144]

\large{f(x) = g(x)}   \\  \large{ {x}^{2}  + 3x = x + 3}

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

\large{  {x}^{2}  + 3x - x - 3 = 0}

Combine like terms.

\large{ {x}^{2}  + 2x - 3 = 0}

Solve the equation by factoring.

\large{(x  + 3)(x - 1) = 0} \\  \large{x =  - 3,1}

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

  • x = -3,1

Let me know if you have any doubts!

3 0
3 years ago
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