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3 years ago

7x+21 simplify the expression

Mathematics

2 answers:

ki77a [65]3 years ago

8 0

Answer:

1X+3

Step-by-step explanation:

This is the expression but simplified hope this helped u have a blessed day

MrMuchimi3 years ago

6 0

Answer:

11x

Step-by-step explanation:

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What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

frosja888 [35]

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

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

Step-by-step explanation:

From the question, we understand that the line goes through $(2, 4), (3, 1), and\ (4, -2).$

First, we calculate the slope of the above points

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (2,4)$

$(x_2,y_2) = (3,1)$

$m = \frac{1 - 4}{3 - 2}$

$m = \frac{-3}{1}$

$m = -3$

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

$m_2 = -\frac{1}{m}$

Substitute -3 for m

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

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

Lastly, we calculate the equation of the line using:

$y - y_1 = m_2(x - x_1)$

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

So:

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

Open bracket

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

Add 1 to both sides

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

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

Hence, the equation of the line segment is: $y = \frac{1}{3}x$

7 0

3 years ago

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Help pls ASAP plsssss

Murrr4er [49]

Answer:

Step-by-step explanation:

volume of cylinder=π×5²×10=250 π≈785 cubic feet.

6 0

3 years ago

The figure shows a circle circumscribed around a triangle. what is constructed first when creating the circle?

vampirchik [111]

Answer:

Option B is right

Step-by-step explanation:

We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent.

These three concur at a point called the circumcentre of the triangle.

When we draw perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistance from A and B.

When we take the point of intersection of perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short this is equidistant from all 3 vertices and hence is centre of circumcicle of triangle ABC

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3 years ago

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Find the simple interest paid to the nearest cent for each loan amount, interest rate, and time.

myrzilka [38]

Answer:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

please mark brainliest:)

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3 years ago

Bonus Problem. A shop owner has 75 pounds of coffee that costs $4.50 per pound. How much coffee that costs $3.50 per pound shoul

chubhunter [2.5K]

Answer:

75 pounds

Step-by-step explanation:

75 pounds

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3 years ago

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