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aalyn [17]
3 years ago
11

Graph this parametric equation x = 2t y = t + 5, -2 ≤ t ≤ 3

Mathematics
1 answer:
UNO [17]3 years ago
6 0
We are given the following data: <span>x = 2t, y = t + 5, -2 ≤ t ≤ 3. The data is valid since there are three unknowns in this problem and that three equations would suffice to answer the problem. 

We start with the given </span>-2 ≤ t ≤ 3 then substitute y = t +5 by using the limits of the range:

at t = -2 ; y = -2 + 5 = 3
at t = 3, y = 3+5 = 8

for the second equation

at t = -2 ; x = 2*-2 =-4
at t=3; x = 2*3 = 6

we group the points based on their original corresponding t's 

(3,-4) and (8,6) we just have to connect these points along with the internal points in between. The relationship should be linear.
You might be interested in
Which order pair is a solution of the inequality 4x – 2y &gt; 20?
Alona [7]
Let's solve for all of the ordered pairs...

A. (2,-7)

4x-2y>20
4(2)-2(-7)>20
8+14>20
22>20
True

B. (-2,-7)

4x-2y>20
4(-2)-2(-7)>20
-8+14>20
6>20
Not true

C. (-2,7)
4x-2y>20
4(-2)-2(7)>20
-8-14>20
-22>20
Not true

D. (2,7)
4x-2y>20
4(2)-2(7)>20
8-14>20
-6>20
Not true

A is the correct answer
3 0
3 years ago
Diagram not drawn to scale<br> please helppp
pychu [463]

Answer:

144?

Step-by-step explanation:

8 0
3 years ago
Heres an ez question for yall
SSSSS [86.1K]

Answer:  Choice B

\left\{ \ 3, 5, \sqrt{34} \ \right\}

=========================================================

Explanation:

We'll be using the converse of the pythagorean theorem.

If we had a triangle with sides a,b,c and a^2+b^2 = c^2 was true, then we have a right triangle. Note: c is always the longest side

For the first answer choice we have: a = 5, b = 8, c = 12

Then,

a^2+b^2 = c^2\\\\5^2+8^2 = 12^2\\\\25+64 = 144\\\\89 = 144\\\\

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.

Choice B on the other hand works because

a^2+b^2 = c^2\\\\3^2+5^2 = (\sqrt{34})^2\\\\9+25 = 34\\\\34 = 34\\\\

We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.

7 0
1 year ago
What is the answer to the problem above in the picture
lana66690 [7]

Answer: Third option.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If f(x)+k, the function is translated "k" units up

If f(x)-k, the function is translated "k" units down.

If f(x+k), the function is translated "k" units left.

If f(x-k), the function is translated "k" units right.

In this case you have the following function:

f(x)=3x+2

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

g(x)=3(x+3)-3

Finally, simplifying, you get that this is:

g(x)=3x+9-3\\\\g(x)=3x+6

5 0
3 years ago
It candy company plans to hang posters of a new product in supermarkets. The product is a box of premium chocolates. The art tea
prohojiy [21]
He answer to this question is:A. The length is 8 inches, and the width is 5 inches.
The scale factor can be found in the question, "the art team made a scale drawing of the top of the box using a scale of 3 inches to 1 inch". This means the scale drawing should be divided by a scale factor of 3:1 (simplified into 3). 
The scale factor is then divided with the components provided (24 inches in length, 15 inches in width).
(24/3) = 8 inches(15/3) = 5 inches
Your answer is length = 8 inches, width = 5 inches.
 hope this helps u
3 0
3 years ago
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