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2 years ago

Passes through (-4, -3), slope = -2.

Mathematics

1 answer:

Lemur [1.5K]2 years ago

5 0

9514 1404 393

Answer:

y +3 = -2(x +4)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

For your given point and slope, this is ...

y -(-3) = -2(x -(-4))

y +3 = -2(x +4)

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Mike collected milk from 3 of his cows at the dairy farm. from the first cow, he collected 4/5 gallon of milk. the second cow pr

Oksi-84 [34.3K]

Answer:

(A) 2 3/10

(B) 1 7/15

Step-by-step explanation:

(A) Add the gallons he collected together to get the total amount of milk he started with: 4/5 + 6/8 + 3/4 = 2 3/10 gallons of milk.

(B) Take that number, 2 3/10, and subtract the amount of milk he has left to get the amount of milk he used. 2 3/10 - 5/6 = 1 7/15

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3 years ago

Find the product of the greatest common divisor and the least common multiple of 18 and 42.

Evgesh-ka [11]

The product of the greatest common divisor and the least common multiple of two numbers is always the product of the two numbers. So, you have

$\text{lcm}(18,42)\times\text{GCD}(18,42)=18\times 42=756$

5 0

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

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago

The area of a rectangle is 38.25 square yards and its base is 9 yards. What is the height? Do not round your answer.

Romashka [77]

Answer:

4.25 yards

Step-by-step explanation:

Area of rectangle = Base x Height

Height = Area of Rectangle ÷ Base

In this case, Area =38.25 sq yards and Base = 9 yards

Height = 38.25 ÷ 9 = 4.25 yards

3 0

3 years ago

Read 2 more answers

Convert from scientific notation to standard form 4.83 x 10^-3

ANTONII [103]

4.83 x 10^-3 can be re-written in standard form by moving the decimal point 3 units to the left: 0.00483.

Note: If you want to be mathematically correct, please write 10^(-3), not 10^-3. If the exponent is +, you don't need the parentheses.

5 0

3 years ago