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2 years ago

1 Write an equation in point-slope form for the line through the given point with the

Mathematics

1 answer:

Mrac [35]2 years ago

8 0

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point on a line

We have the slope m = -2, and the point (10, -9).

Substitute:

$y-(-9)=-2(x-10)\\\\y+9=-2(x-10)$

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grin007 [14]

Answer:

Step-by-step explanation:

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2 years ago

fiona has to plot a histogram of the given data , what frequency table should she use for the histogram?

fomenos

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1 year ago

In the diagram of PARALLELOGRAM ABCD, segment BE is perpendicular to segment CED, segment DF is perpendicular to BFC and segment

tiny-mole [99]

Answer:

In parallelogram ABCD

FD is perpendicular to BC

BE is perpendicular to CD

Consider triangle BEC and triangle DFC

FC = EC (Given)

Angle BEC = Angle DFC (=90°)

Angle BCE = Angle DCF (common)

Therefore triangle BEC is congruent to triangle DFC (AAS congruency)

DF = BE (CPCT)

Since the altitudes are equal their bases will also be equal

Therefore BC = DC

Therefore BC = DC = AD = AB

Therefore ABCD is a rhombus

Hope this helps!

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2 years ago

Choose whether each decimal terminates or repeats.

Maurinko [17]

Answer:

Step-by-step explanation:

3.232323-repeats

1.789-terminates

0.99-repeats

6.25-terminates

7 0

3 years ago

Read 2 more answers

David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.

Natalija [7]

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

$9x=2x+80$

Now let us solve for x.

$9x-2x=80$

$7x=80$

$x=\frac{80}{7}$

Now let us substitute $x=\frac{80}{7}$ in 7x (amount of money that Egil gets).

$\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}$

Upon cancelling out 7 from numerator and denominator we will get,

$\text{ Amount of money that Egil will get}=80$

Therefore, Egil will get $80.

6 0

3 years ago