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3 years ago

Which point-slope form passes through the point (-2,1) and has a slope of 3?

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

The formula for point slope form is (y-y1) = m(x - x1)

In this formula m will always be the slope. So, you can substitute 3 in for m

(y-y1) = 3(x-x1)

y1 is the y-coordinate and x1 is the x-coordinate. So, you can substitute them in and you will be done.

(y - 1) = 3(x - (-2))

But since it is minus a negative it changes to a positive so it would be:

(y -1) = 3(x + 2)

Hope this helps!

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Question 1

storchak [24]

Answer:

(0,-3)

Step-by-step explanation:

To find the point of intersection for the two lines, we solve the two equations simultaneously

$x=0, y=-3$ $x=0 y=-3$

4 0

3 years ago

Read 2 more answers

A parking lot is 100 yards long. What is the length of 3/4 of the parking lot, in feet? (Not in words)

yaroslaw [1]

1 yard = 3 feet.

100 yards x 3 = 300 feet.

300 feet x 3/4 = 225 feet.

The answer is 225 feet.

6 0

3 years ago

Read 2 more answers

Andrew must spend less than 53$ on meals during the weekend. he has already spent 21$ on meals costing 8$ average. how many addi

Shkiper50 [21]

Andrew can buy maximum 3 meals this weekend.

From given question,

Andrew must spend less than 53$ on meals during the weekend.

He has already spent 21$ on meals costing 8$ average.

Let x, the number of meals

So, we get an inequality,

8x + 21 < 53

We need to find the number of meals he can buy this weekend.

From above inequality,

⇒ 8x + 21 < 53

⇒ 8x < 53 - 21

⇒ 8x < 32

⇒ x < 4

This means, from 1 to 3 meals.

Therefore, Andrew can buy maximum 3 meals this weekend.

Learn more about an inequality here:

brainly.com/question/19003099

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3 0

2 years ago

The bearing of Q from P is 150

Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

Part (i)

see first attached diagram

Part (ii)

The angles marked in blue on the second attached diagram are Consecutive Interior Angles. In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

Part (iii)

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0

2 years ago

Geometry hw!!! picture is above

AnnZ [28]

X=12 because 73-3x=61-2x so add 3x to both to make 73=61+X then subtract 61 from both to get 12=X

7 0

2 years ago