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3 years ago

(6y-7)(3y+1) = 18^y+27y+7y?

Mathematics

1 answer:

garik1379 [7]3 years ago

3 0

Answer:

18y²-15y-7

Step-by-step explanation:

6y×3y-7×3y+6y×1-7×1

=18y²-21y+6y-7

=18y²-15y-7

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Sarah measured her square garden to have an area of 122 ft 2 . How long is one side of Sarah’s garden?

Mashutka [201]

Answer:

30.5 ft squared

Step-by-step explanation:

First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.

<h2><u><em>If you need more help or explanation, follow up in the comments below. :P</em></u></h2>

5 0

3 years ago

OK so I have two questions to answer. So the first picture is question five in the second picture is question six.

Vesnalui [34]

Answer:

The slope is 2.25

The y-intercept is 3

Step-by-step explanation:

Assuming from the cut off picture, that we need to find the slope of ...

y=2.25x +3

y=mx+b form makes it easy to identify the slope and the y-intercept.

m is the slope and b is the y-intercept. Anything number that is in place of m, is the slope; and any nother in place of b is the y-intercept.

In that case, 2.25 is the slope and 3 is the y-intercept

3 0

3 years ago

Explain why two thirds is not unit fraction

vodomira [7]

I'm pretty sure it has to have 1 over any number

8 0

2 years ago

The given line segment has a midpoint at (3, 1).

Katena32 [7]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ .

Therefore the line passing through (2, 4) and (4, -2) has an equation:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10$

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

$m_1m_2=-1$ .

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

$m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}$

Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

$\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x$

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is $y=\frac{1}{3}x$

7 0

3 years ago

Read 2 more answers

FILL IN THE BLANK: FOOD, HEAT, CABLE, INTERNET, AND DOG FOOD<br><br> ARE EXAMPLES OF

koban [17]

The complete question is:

FILL IN THE BLANK: FOOD, HEAT, CABLE, INTERNET, AND DOG FOOD

ARE EXAMPLES OF

A. HOUSEHOLD ASSETS

B. HOUSEHOLD EXPENSES

C. HOUSEHOLD INCOME

D. HOUSEHOLD BUDGETS

Answer:

The correct option is B

Household Expences

Step-by-step explanation:

Household expenses are the costs of maintaining a home, like rent or mortgage payments, utility bills, groceries, etc.

So, food, heat, cable, internet, and dog food are all examples of household expences.

3 0

2 years ago