All categories

4 years ago

write the equation of the line through the points (-3,3) and (7,5) in slope-intercept form. what is the y-intercept

Mathematics

2 answers:

NNADVOKAT [17]4 years ago

6 0

Answer:

The equation of the line is y = 1/5x + 18/5, which means the intercept is 18/5.

Step-by-step explanation:

In order to find this, we need to start by finding the slope. To do that, we need to use the slope formula.

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

m = (5 - 3)/(7 - -3)

m = (5 - 3)/(7 + 3)

m = 2/10

m = 1/5

Now that we have the slope, we can use either point and the slope in slope intercept form to find the intercept.

y = mx + b

3 = 1/5(-3) + b

3 = -3/5 + b

18/5 = b

sesenic [268]4 years ago

4 0

Answer:

y = 0.2x + 3.6

Step-by-step explanation:

3 + 7 = 10

2 / 10 = 0.2

y = 0.2x + ___

0 - (-3) = 3

3 * 0.2 = 0.6

3 + 0.6 = 3.6

y = 0.2x + 3.6

You might be interested in

Paul started work at company b ten years ago at the salary of 30,000 starting year and 2400 for yearly salary increase at the sa

Cloud [144]

Sharla, earned 2,000 more than Paul

6 0

3 years ago

A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a

Sphinxa [80]

First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.

$I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

$I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

Then, the radii of gyration for

x = √[I_x/m]
y = [I_y/m]

where m = k(15-4)² = 121k. Then,

x = y = [4880.33k/121k] = 40.33

I hope I was able to help you. Have a good day.

7 0

3 years ago

Find a formula for geometric series that begins with 28, 98, 343,...

otez555 [7]

Answer:

Step-by-step explanation:

In a geometric series, the successive terms differ by a common ratio which is determined by dividing a term by the preceding term.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio between successive terms in the sequence.

n represents the number of terms in the sequence.

From the seies shown,

a = 28

r = 98/28 = 343/98 = 3.5

The formula representing the nth term of the given sequence would be expressed as

Tn = 28 × (3.5)^(n - 1)

6 0

3 years ago

Please help! Double points!

S_A_V [24]

Answer:

$\frac{13}{18}$ (72.22%)

Step-by-step explanation:

For this question, you must get at least one blue block. However, you can also think of it this way: pretend the other seven blocks are red (it does not matter since the colors other than blue do not matter) what is the probability that you do not only get red blocks?

You can calculate the probability that you only get red blocks simply with multiplication rule:

$\frac{7}{9} *\frac{6}{8} *\frac{5}{7} *\frac{4}{6}$ $=\frac{5}{18}$

(not the numbers increment down because they are not replaced)

Then, you use the fact that having red blocks and not having red blocks as a complement to calculate the probability

$1-\frac{5}{18}$ $=\frac{13}{18}$

This is your final answer: 72.22%

7 0

2 years ago

Choose the correct box of the best buy available. a can of tomatoes for 53¢ one can of tomatoes with a 20% discount when the reg

madam [21]

So, we have two options:
option 1: a can of tomatoes for 53 cents.
option 2: a can of tomatoes for 70 cents with a 20% discount.

First we have to determine the price of the 2nd option.
10 % of 70 cents is 7 cents
20 % of 70 cents is 14 cents.
So, we have 14 cents of discount, which makes the new price (70-14=) 56 cents.

Now our two options are either 53 or 56 cents.
Therefore option 1 is the best buy available.

3 0

4 years ago