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3 years ago

When the distributive property is used to solve the equation 10(x+8) =3x-3 what is the next step?

Mathematics

2 answers:

Alex73 [517]3 years ago

8 0

Answer:

multiply 10 and x+8

Step-by-step explanation:

gayaneshka [121]3 years ago

3 0

Answer:

$x=-\frac{83}{7}$

Step-by-step explanation:

use distributive property:

$10x+80=3x-3$

you have to move all the terms with $x$ to the left side of the equation:

subtract 3x from both sides

$10x+80-3x=-3$

combine like terms

$7x+80=-3$

subtract 80 from both sides

$7x=-3-80$

$7x=-83$

divide each term by 7

$\frac{7x}{7} =\frac{-83}{7}$

$x=-\frac{83}{7}$

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Solving a right triangle (ROUND TO THE NEAREST TENTH)

Kay [80]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for B

B = 180° - (90 + 40)° = 180° - 130° = 150°

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sin40° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{21}$

Multiply both sides by 21

21 × sin40° = a, thus

a ≈ 13.5 ( to the nearest tenth )

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cos40° = $\frac{adjacent}{hypotenuse}$ = $\frac{b}{21}$

Multiply both sides by 21

21 × cos40° = b, thus

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3 0

3 years ago

A vertical plane passes through a pyramid that has a horizontal base.

Kay [80]

A triangle will be produced from the intersection of the vertical plane and pyramid. The correct options are triangles and trapezoid.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

Given that a vertical plane passes through a pyramid that has a horizontal base. Therefore, when the vertical plane and the pyramid meets or intersect the two dimensional figure that will be produced when the two intersect is triangle. It can also be trapezoid if the vertical plane does not intersect exactly in mid of the pyramid.

Hence, a triangle or a trapezoid will be produced from the intersection of the vertical plane and pyramid.

Learn more about Triangle here:

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3 0

1 year ago

Help me pls i want to pass my math class

kati45 [8]

Answer:

The slope is -2

The y-intercept is (0,1)

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4 0

2 years ago

Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordina

IrinaK [193]

Answer:

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Step-by-step explanation:

Ax + By = C, where A = 0, B is positive, and C is negative

By= C or y= C/B which is negative

Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero

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A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).

no, the line is horizontal

A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).

no, the line is horizontal

A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).

no, the y-values should be negative

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

yes, this is horizontal line below zero

8 0

3 years ago

Read 2 more answers

Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75

zimovet [89]

Answer: 1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

Since the strawberries cost $1.60 per pound, it would be x pounds times $1.60 for the total cost of strawberries. Since the raspberries cost $1.75 per pound, it would be y pounds times $1.75 for the total cost of the raspberries. The total cost of both, or 1.60x + 1.75y, must be equal to or less than 10 because she cannot spend over 10 dollars.

5 0

3 years ago