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lisov135 [29]
3 years ago
12

Directions: Choose the letter of the correct answer.

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

Step-by-step explanation:

1) y = 3x -------------(I)

  y = 4x  - 5 -------------(II)

Plug in y= 3x in equation (II)

3x  =  4x - 5

3x + 5 = 4x

       5 = 4x - 3x

      5 = x

x= 5

Plug in s = 5 in equation (I)

y = 3*5 = 15

x = 5

y = 15

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(x-3)(x+5) the product
Lyrx [107]

Answer:

x^2 +2x -15

Step-by-step explanation:

FOIL

(x-3)(x+5)

first x*x = x^2

outer 5x

inner -3x

last -3*5 = -15

Add them together

x^2 +5x-3x-15

Combine like terms

x^2 +2x -15

4 0
3 years ago
Select all the expressions which are equivalent to three times the sum of six and five.
Zinaida [17]

Answer:

A b c

Step-by-step explanation:

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3 years ago
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The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
MariettaO [177]
The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
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.. x - y = 8

5 0
3 years ago
In the given figure, ΔABC is a right triangle.
LUCKY_DIMON [66]

Answer:

its an isosceles triangle which means that the sides a and c are the same

so C is the correct answer!!

Step-by-step explanation:

8 0
1 year ago
A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r
eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

            Radius= 1.5 m

            Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= 2\pi rh

Considering, π= 3.14

⇒ lateral surface area of cylinder= 2\times 3.14\times 1.5\times 2.5

⇒ lateral surface area of cylinder= 23.55 \ m^{2}

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= \frac{16500}{23.55} = 700.6369 \approx 701

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0
3 years ago
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