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SVETLANKA909090 [29]
3 years ago
5

A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is

graphed on the coordinate plane below, where x represents the smaller number and y represents the larger number. On a coordinate plane, a line goes through (0, 4) and (2, 6) and another line goes through (1, 3) and (2, 6). Which two equations represent the situation? y = one-third x and y = x minus 4 y = one-third x and y = x + 4 y = 3 x and y = x + 4 y = 3 x and y = x minus 4.
Mathematics
2 answers:
elixir [45]3 years ago
7 0

Answer:

two equations represent the situation are

y = 3x and y = x + 4

Step-by-step explanation:

alisha [4.7K]3 years ago
4 0

Answer: two equations represent the situation are

y = 3x and y = x + 4

Step-by-step explanation:

The smaller number was represented by x and its values on the x coordinate.

The larger number was represented by y and its values on the y coordinate.

The larger number is equal to 3 times a smaller number. This means that

y = 3x

Also, the sum of the smaller number and 4 is the larger number. This means that

y = x + 4

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155.93

Step-by-step explanation:

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If a whole pan of brownies is being sold for $16, how much it cost to purchase 3/4<br> of the pan?
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Answer:

$12

Step-by-step explanation:

We have to do this operation:

(16/4) x 3 = 4 x 3 = $12

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Find the exact value of cos 120° in simplest form with a rational<br> denominator.
IRINA_888 [86]

Given:

cos 120°

To find:

The exact value of cos 120° in simplest form with a rational  denominator.

Solution:

We have,

\cos 120^\circ

It can be written as

\cos 120^\circ=\cos (90^\circ+30^\circ)

\cos 120^\circ=-\sin 30^\circ             [\because \cos (90^\circ-\theta)=-\sin \theta]

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7 0
3 years ago
In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezo
andreev551 [17]

Answer:

The area of the trapezoid is 525\ cm^{2}

Step-by-step explanation:

we know that

The area of a isosceles trapezoid is equal to the area of two isosceles right triangles plus the area of a rectangle

step 1

<em>Find the area of the  isosceles right triangle</em>

Remember that

In a isosceles right triangle the height is equal to the base of the triangle

we have

h=15\ cm

so

b=15\ cm

The area is equal to

A=\frac{1}{2}(b)(h)

substitute the values

A=\frac{1}{2}(15)(15)=112.5\ cm^{2}

step 2

Find the area of the rectangle

The area of the rectangle is equal to

A=LW

we have

W=15\ cm -----> is the height of the trapezoid

d=25\ cm  -----> the diagonal of the rectangle

Applying the Pythagoras Theorem

25^{2}=L^{2}+15^{2}\\L^{2}=25^{2}-15^{2} \\ L^{2} =400\\L=20\ cm

The area of the rectangle is

A=(20)(15)=300\ cm^{2}

step 3

Find the area of the trapezoid

A=2(112.5\ cm^{2})+300\ cm^{2}=525\ cm^{2}

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Answer:

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