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coldgirl [10]
3 years ago
11

What is the slope of the line that passes through the points (-8, -3) and (-12, -3)

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)

where (x1,y1)=(-8,-3)

(X2, y2)=(-12,-3)

slope=(-3+3)/(-12+8)=0

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For function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)<br>​
lawyer [7]

Answer:

g(3) = 13

Step-by-step explanation:

Given

g(0) = 1

g(1) = 5

Required

Find g(3)

Since g(x) is a linear function, then:

g(x) = mx + c

For: g(0) = 1

g(x) = mx + c

g(0) = m*0 + c

1 = 0 + c

1 = c

c = 1

For: g(1) = 5

g(x) = mx + c

g(1) = m * 1 + c

5 = m * 1 + c

5 = m + c

Substitute c = 1

5 = m + 1

m = 5 - 1

m =4

So, the function is:

g(x) = mx + c

g(x) = 4x + 1

Calculate g(3)

g(3) = 4*3 + 1

g(3) = 12 + 1

g(3) = 13

3 0
3 years ago
Please help me with this question.​
Stels [109]

Step-by-step explanation:

Mean of the origibal set = 20

No. of terms = 10

Sum = Mean x No. of terms

= 20 x 10 = 200

The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220

New Sum = 200 + 220 = 420

The no of terms stay the same

New Mean = New Sum/ N

= 420/10

= 42

7 0
3 years ago
A petrol kiosk p is 12 km due north of another petrol kiosk q. The bearing of a police station r from p is 135 degree and that f
tiny-mole [99]

Answer:

Distance between P and R is 40.15 km.

Step-by-step explanation:

From the picture attached,

Petrol kiosk P is 12 km due North of another petrol kiosk Q.

Bearing of a police station R is 135° from P and 120° from Q.

m∠QPR = 180° - 135° = 45°

m∠PQR = 120°

m∠PRQ = 180° - (m∠QPR +m∠PQR)

             = 180° - (45° + 120°)

             = 180° - 165°

             = 15°

Now we apply sine rule in ΔPQR to measure the distance between P and R.

\frac{\text{sin}(\angle QPR)}{\text{QR}}= \frac{\text{sin}(\angle PQR)}{\text{PR}}=\frac{\text{sin}\angle PRQ}{\text{PQ}}

\frac{\text{sin}(45)}{\text{QR}}= \frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}

\frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}

PR = \frac{12\text{sin}(120)}{\text{sin}(15)}

PR = 40.15 km

Therefore, distance between P and R is 40.15 km.

8 0
3 years ago
Jenna saves $3 for every $13 she earns. Vanessa saves $6 for every $16 she earns. Is Jenna’s ratio of money saved to money earne
Alexxx [7]

Answer:

3/13 and 6/16

Step-by-step explanation:

hope i help

7 0
3 years ago
Manny buys four boxes of straws for his restaurant. There are 500 straws in each box. How many straws does he buy?
Paraphin [41]
4×500=2000 This is the answer
4 0
3 years ago
Read 2 more answers
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