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Westkost [7]
3 years ago
10

Determines whether the line through the points

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0
Find their gradients using the change in y coords divided by the change in x coords. once you have the gradients (or slopes), multiply them by eachother - if the product is (-1) then theyre perpdendicular, if not, they are either parallel or intersect at a point
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What is the sum of the first 75 even numbers starting with 2? Enter your answer in the box.
vova2212 [387]

Answer:

5700

Step-by-step explanation:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 150.

The first term a = 2

The common difference d = 2

Total number of terms n = 75

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 75/2 x (2 + 150)

= (75 x 152)/ 2

= 11400/2

2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 150 = 5700

Therefore, 5700 is the sum of first 75 even numbers.

6 0
3 years ago
Read 2 more answers
A submersible vessel at an elevation of -95 feet descends to 5 times that elevation. What is the vessel's new elevation?
trasher [3.6K]
-475
you multiply -95 by 5
6 0
3 years ago
If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.
Bingel [31]

I hope it will help you.

7 0
2 years ago
Read 2 more answers
A tire dealer sells 2 tires for as much as he paid for 3 tires. he paid $240 for a dozen tires. What is the total profit on 12 t
tester [92]
First, find how much he paid by tire.
To do so, divide what he paid by how many tires he bought like this :
240$ / 12 = 20$ per tire

Then, calculate how much he sells each tire.
To do so, start by calculating how much he paid for 3 tires:
20$ x 3 = 60$

This is the price he sells 2 tires for, therefore :
60$ / 2 = 30$
he sells his tires 30$ each.

Finally, you have to calculate the profit he made by selling 12.
We already know how much it cost, so you need to find how much money he gets selling them :
12 tires x 30$ = 360$

To find the profit, take off the amount he paid from the amount he made :
360$ - 240$ = 120$

There you go!
3 0
3 years ago
Consider the function f(x) = 3x and the function g, which is shown below.
VLD [36.1K]

Answer:

<em>B. The graph of g is the graph of f shifted 2 units down</em>

Step-by-step explanation:

<u>Graph of Functions</u>

We have two functions:

f(x)=3^x

g(x)=3^x-2

Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points

f(0)=3^0=1

g(0)=3^0-2=-1

f(1)=3^1=3

g(1)=3^1-2=1

f(3)=3^3=27

g(3)=3^3-2=25

We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is

B. The graph of g is the graph of f shifted 2 units down

7 0
3 years ago
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