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4 years ago

Which equation represents a line through (-4, 3) that is perpendicular to y=x+7?

Mathematics

1 answer:

Oksana_A [137]4 years ago

7 0

Answer:

B. y = -x - 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.

Plug the slope and the given point into y = mx + b to find b:

y = mx + b

3 = -1(-4) + b

3 = 4 + b

-1 = b

Then, plug this and the slope into y = mx + b

y = -x - 1

So, the correct answer is B, y = -x - 1

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Instructions: Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Morgarella [4.7K]

Answer:

y = 3x - 13................slope= 3, point= (5,2)

y = 3x + 11.................slope= 3, point= (2,17)

3y = x + 11................slope= 1/3, point= (-5,2)

3y = x - 13................slope= 1/3, point= (19,2)

Step-by-step explanation:

To match each equation to its slope and point, remember that an equation in y = mx + b has slope m. The point must also satisfy or make true the equation when substituted for (x,y).

y=3x-13 has slope 3. The point (2,17) make it false. But (5,2) makes it true.

17 = 3(2) - 13 2 = 3(5) - 13

17 = 6-13 2 = 15 - 13

17 = - 7 False 2 = 2 True

y=3x+11 has slope 3. This means (2,17) must be true.

3y=x+11 can be converted to y = 1/3x + 11/3. It has slope 1/3. Test each point.

2= 1/3(19) + 11/3 -2 = 1/3(17) + 11/3 2 = 1/3(-5) + 11/3

2 = 19/3 + 11/3 -2 = 17/3 + 11/3 2 = -5/3 + 11/3

False False 2 = 6/3 True

3y=x-13 can be converted to y = 1/3x - 13/3. It has slope 1/3. Test each remaining point.

2= 1/3(19) - 13/3 -2 = 1/3(17) - 13/3

2 = 19/3 - 13/3 -2 = 17/3 - 13/3

2 = 6/3 -2 = 4/3

True False

7 0

3 years ago

Read 2 more answers

Suppose we want to estimate vaccination rates among employees in state government, and we know that our target population is 55

Soloha48 [4]

Answer:

The answer is Judgment sampling

Step-by-step explanation:

Judgment sampling also known as judgmental sampling is a form of sampling which is non probability(not every individual has a chance of being included) where sample members are chosen only on the basis of the researcher’s knowledge and judgment.

Judgmental sampling is effective when one feel that other sampling techniques will consume more time and that they have confidence in their knowledge to select a sample for conducting the research. It is also used in situations where the sample selected using other sampling methods need to be approved or filtered

7 0

4 years ago

The relationship between the base and rate a plumber charges and his hourly fee is modeled by the linear function f (x) = 25x +

marysya [2.9K]

F(6)=25(6)+100
f(6)=150+100
f(6)=250
Final answer: $250

4 0

3 years ago

Could someone create Equations & Explanations based on this question, because I need to solve using substitution and later m

vazorg [7]

Answer:

3 hours

Step-by-step explanation:

If both the cars are moving in the same direction,

Speed of orange sports car = 60 miles per hour

Since, this car has already moved for 1 hour,

Distance covered by the sports car = speed × time

= 60 × 1

= 60 miles

Speed of the green van = 30 miles per hour

Since, green van has already moved for the duration = 3 hours

Distance covered by the green van = speed × time

= 40 × 3

= 120 miles

Therefore, distance between sports car and green van = 120 - 60

= 60 miles

Relative speed of orange sports car with respect to green van = Speed of sports car - speed of green van

= 60 - 40

= 20 miles per hour

Time taken by the orange sports car to cover 60 miles (Distance between sports car and green van) = $\frac{\text{Distance between the car and van}}{\text{Relative speed of the sports car}}$

= $\frac{60}{20}$

= 3 hours

Therefore, orange sports car will take 3 hours to pass the green mini green van.

8 0

3 years ago

Which of the following is the independent variable of F(G(X))?

VashaNatasha [74]

Answer:

Step-by-step explanation:

3 0

3 years ago