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3 years ago

What is the point-slope form of the line with slope 5 passing through (4,-2)

Mathematics

1 answer:

poizon [28]3 years ago

6 0

Answer:

y + 2 = 5(x - 4)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 5 and (a, b) = (4, - 2), hence

y - (- 2) = 4(x - 4)

y + 2 = 5(x - 4) ← in point- slope form

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Write this number in standard notation. 1.986 x 10^6

ankoles [38]

You move the decimal 6 places to the right: 1986000

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2 years ago

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76.11 Multiply fractions and mixed numbers: word problems 5N)

maria [59]

Answer:

Kendra ate 1/4 pounds of blueberries.

Step-by-step explanation:

The amount of blueberries Sean had = 1/3 pound

The amount of blueberries Kendra ate = 3/4 of Total available

= 3/4 of (1/3 pounds)

Now, we need to find out the 3/4 amount of 1/3 pound.

3/4 of 1/3 pound = $\frac{3}{4} \times \frac{1}{3} = \frac{1}{4 }$

⇒ 3/4 of the amount 1/3 pound = 1/4 pound

Hence Kendra ate 1/4 pounds of blueberries.

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3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

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3 years ago

In parallelogram WXYZ, what is CY? CY=___ ft

dangina [55]

The correct answer is 11 ft.

Explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:
x+4-x=2x-7-x
4=x-7.

Add 7 to both sides:
4+7=x-7+7
11=x

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3 years ago

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A- 6=9. Please help

olchik [2.2K]

Answer:

a = 15

Step-by-step explanation:

6 + 9 = 15

a = 15

15 - 6 = 9

yes

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2 years ago

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