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lidiya [134]
3 years ago
7

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce

pt form
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

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Solve for x: −2x − 4 > 8
Pavlova-9 [17]
To solve for x in an inequality is very similar to solving for x in an equation since for both you would need to isolate x. 

step 1) -2x-4>8               add the 4 over to move any constants over to the                         +4 +4              other side.
             -2x> 12

step 2) x< -6                 Divide out the -2 to isolate x, however, keep in mind,                                      when you divide or multiply over any negative                                                   number, you must also remember to flip the inquality                                      sign.


Answer: x<-6
6 0
3 years ago
Read 2 more answers
Hey! I need this pretty fast- just do the first one though! Thank you! :)
Karolina [17]

Step-by-step explanation:

A. part 1: $1.49 for 6 pencils

1 pencil would cost $1.49 / 6 = $0.24833(5s.f.) = $0.25 (nearest cent)

part 2: $4.60 for 20 pencils

1 pencil would cost $4.60 / 20 = $0.23

best value: part 2 (20pencil pack)

If you wish to explore more into mathematics you can give me a follow on Instagram (learntionary) I'll be regularly posting notes and tips for mathematics

4 0
3 years ago
The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
3 years ago
Given: ABC is a right triangle with right angle C. AB = 14 centimeters and
Snezhnost [94]

Answer:7.6°

Step-by-step explanation:

Using sine formular

sinA/a =sinB/b

sin33/x = sin90/14

cross multiply

xsin90 = 14sin33

Divide bothside by sin90

x = 14sin33 / sin90

x= 7.6249 / 1

x = 7.6° to the nearest tenth.

4 0
3 years ago
Can you plz help me plz
Harman [31]

Answer:b=16

Step-by-step explanation:trust me bro

6 0
3 years ago
Read 2 more answers
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