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3 years ago

It takes bob 4 hours to paint 2 rooms. Find bobs unit rate in rooms per hour

Mathematics

1 answer:

Nataly_w [17]3 years ago

3 0

Answer . 2 hours to do 1 room

Step-by-step explanation:

it will take him two hours for one room and one hours for half a room, 1/2

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Can someone answer questions 20-24 I need it for my math homework

navik [9.2K]

You know you have to draw the triangles right?

3 0

3 years ago

A line passes through the two points (-4,6) and (2,-5). Calculate the following parts:

Viktor [21]

A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.

<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>

Its slope would be:

$m = \dfrac{y-q}{x-p}$

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope m of the line is given as

$m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}$

The equation of a line is

$( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0$

Hence, the equation is 11x +6y - 80 = 0

Learn more about slopes here:

brainly.com/question/2503591

#SPJ4

8 0

2 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

<u>Answer</u>

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

3 years ago

1. Each spring, Genevieve helps her mom plant flowers. There are 24 rows of

avanturin [10]

Answer:

Genevieve plants a total of 432 flowers.

Step-by-step explanation:

18 flowers go in every row so you have to multiply the number of rows (24) by the number of flowers in each row (18) to get the total of 432 flowers.

7 0

3 years ago

When is the product of two nonzero integers less than or equal to both of the two factors

Sergeu [11.5K]

1) if they're both 1:

1 x 1 = 1: they preoduct is equal to both factors!

2) if one of them is negative (but not 2!)

for example: -2 and 6: the product is -12, and it's less than both -2 and 6!!!

5 0

3 years ago