Ask question

Ask question

All categories

3 years ago

14

What is the slope intercept form of the equation of the line that passes through the points (9,5) and (4,1)

1 answer:

aivan3 [116]3 years ago

4 0

Answer:

y = 4/5 x - 2 1/5

Step-by-step explanation:

1. Find the slope:

1 - 5/ 4 - 9 = 4/5 = m

2. Find b by plugging in the m and one of the points given into y = mx + b

1 = 4/5 ( 4) + b

1 = 16/5 + b

-2 1/5 = b

3. Write the equation using the m and the b you just found

y = 4/5 x - 2 1/5

Read more on Brainly.com - brainly.com/question/12217609#readmore

You might be interested in

What will be the cost of the paving if cement costs $26.50 per square metre?

WITCHER [35]

Answer: $2203.74

Step-by-step explanation:

4 0

3 years ago

9/10 - 4/10 = _ <br> PLEASE ANSWER!! :)

Inessa [10]

Answer:

5/10

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I got an answer, but I only got one mark help

kaheart [24]

Answer:

The answer 323.4 is pound.

Step-by-step explanation:

First 25% and 8% together which is 33%.Then find out 33% of 980.33/100×980=323.4 pound.

So he saved 323.4 pound.

8 0

3 years ago

Read 2 more answers

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

3 years ago

1.12cm=______mm <br><br> 2.124mm=_______cm<br><br> 3.2cm=________mm<br><br> 4.7mm=_______cm

sashaice [31]

Answer:

1. 11.2 mm

2. 0.2124cm

3. 32mm

4. 4.7cm

8 0

3 years ago