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2 years ago

Write an equation of the line that passes through (-5, -2) and is parallel to y = 2/3x+1

Mathematics

1 answer:

rewona [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Ok, so the slope has to be the same because it’s parallel.

y=2/3x+1

slope=2/3

y=-2

x=-5

y=2/3x+ what

-2=-3 1/3 + what

1 1/3

hence, y=2/3x+4/3

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Answer:

Step-by-step explanation:

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3 years ago

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Solve for x. what are the measures of the two angles shown? show your work

mojhsa [17]

Answer:

x = 34

Step-by-step explanation:

This is a straight line so the sum of angles must be 180°

4x + 20 + x - 10 = 180 add like terms

5x + 10 = 180 subtract 10 from both sides

5x = 170 divide both sides by 5

x = 34

To calculate each angle we replace x with the value we found

4x + 20 ➡ 4×34 + 20 = 156

x - 10 ➡ 34 - 10 = 24

4 0

2 years ago

Which of the following is NOT a rational number?

makvit [3.9K]

Answer:

A <u>rational number</u> is a number that can be expressed as a fraction (the ratio of two integers).

<u>Integer</u>: A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

$\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}$

$\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}$

$\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}$

$\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}$

Therefore, $\sf \sqrt{12.1}$ is not a rational number.

5 0

1 year ago

Help me with this and answer letters a and b

Darya [45]

Answer:

Step-by-step explanation:

a) a = 2*2.99- (2.99 +1.49)

a = 5.98 - 4.48

a = $1.50

r = 2* 3.99 - (3.99 + 2.49)

r = 7.98 - 6.48

r = $ 1.50

B) Both fruits has the same discount.

4 0

3 years ago