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3 years ago

What is the equation of the line that goes through the point (0,2) and has a slope of -1

Mathematics

1 answer:

givi [52]3 years ago

8 0

Answer:

y = -x + 2

Step-by-step explanation:

The point (0,2) is the y-intercept.

The equation of a line is y=mx + b.

The b variable represents the y-intercept.

The m variable represents the slope.

Substitute -1 for the slope and 2 for the y-intercept into the equation.

y = mx + b

y = (-1)x + (2)

y = -x + 2

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3 Jazmin is mailing two packages. One package weighs 3 pounds, and the other package weighs 20 ounces. What is the total weight

Angelina_Jolie [31]

Answer:

68oz

Step-by-step explanation:

1) 3lbs x 16oz = 48

Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.

2) 48 + 20 = 68oz

3) The total weight of both packages is 68 ounces.

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8 0

3 years ago

CAN SOMEONE HELP ME WITH WIYH THIS ?????

fomenos

Answer:

x = 14

Angle B = 121°

Angle C is 59°

Step-by-step explanation:

First we'll find x, then we'll find Angle B (by substituting in x), then we'll find Angle C (bc Angle B and C are supplementary--that us, they add up to 180°)

10x-19 = 7x+23 subtract 7x

3x-19 = 23 add 19

3x = 42 divide by 3

x = 14

Angle B is 10x-19, and if x=14, then its 10(14)-19

Angle B is 140-19

which is 121°

Angle B = 121°

Angle B and Angle C add up to 180°

121° + c = 180°

c = 180-121

Angle C is 59°

8 0

3 years ago

24. If all of the dimensions of the aquarium

Zigmanuir [339]

Answer:

You can solve this problem by doubling each original measure then putting them in the equation. So, a length of 6in becomes 12in, a width of 10in becomes 20in, a height of 9in becomes 18in. The equation is now 12x20x18. 12x20= 240. 240x18= 4,320. This means the new aquarium has a volume of 4,320in3.

Step-by-step explanation:

8 0

2 years ago

The top of angies ladder is resting against the side of her house 22 feet above the ground.If the base of the ladder is 5 feet f

Andrews [41]

Answer:

Step-by-step explanation:

The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.

Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

AC^2 = 22^2 + 5^2

AC^2 = 484 + 25 = 509

AC = √509

AC = 22.56

The slope of the ladder is

(change in y)/(change in x)

Slope = 22/5 = 4.4

3 0

3 years ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

3 years ago

What is the equation of the line that goes through the point (0,2) and has a slope of -1​

What is the equation of the line that goes through the point (0,2) and has a slope of -1