3x - 4y = -10....multiply by 2
5x + 8y = -2
---------------
6x - 8y = -20 (result of multiplying by 2)
5x + 8y = -2
---------------add
11x = -22
x = -22/11
x = -2
3x - 4y = -10
3(-2) - 4y = -10
-6 - 4y = -10
-4y = -10 + 6
-4y = -4
y = -4/-4
y = 1
solution is : (-2,1)
The mapping of the strip pattern onto itself is a Glide reflection.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Glide reflection is a combination of reflection over a line and then translation along that line.
As we can see, the mapping of the strip pattern onto itself is a Glide reflection.
Find out more at: brainly.com/question/25442628
Answer: -22
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
<u>Given information</u>
m = 1
n = -3 (2) = -6
<u>Given expression</u>
2m - 4n (3m - 4)
<u>Substitute values into the expression</u>
=2(1) - 4(-6) (3(1) - 4)
<u />
<u>Simplify by multiplication</u>
=2 + 24 (3 - 4)
<u />
<u>Simplify values in the parentheses</u>
=2 + 24 (-1)
<u>Simplify by multiplication</u>
=2 - 24
<u>Simplify by subtraction</u>
=![\boxed{-22}](https://tex.z-dn.net/?f=%5Cboxed%7B-22%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Unit rate defined as the rates are expressed as a quantity 1 such as 4 miles per hour or 3 meter per seconds.
As per the given statement:
Kayaks rent for $35 per day.
⇒Unit rate per day = $35
We have to write an expression that can help you to find the cost in dollars of renting 3 kayaks for a day:
Cost in dollars for 3 kayaks for a day = $ ![3 \times 35](https://tex.z-dn.net/?f=3%20%5Ctimes%2035)
The Distributive property says that:
![a\cdot (b+c) = a\cdot b+ a\cdot c](https://tex.z-dn.net/?f=a%5Ccdot%20%28b%2Bc%29%20%3D%20a%5Ccdot%20b%2B%20a%5Ccdot%20c)
we can write 35 as: 30 + 5
then;
![3 \times 35 = 3 \times (30+5) =(3 \times 30)+ (3 \times 5) = 90 + 15 = \$105](https://tex.z-dn.net/?f=3%20%5Ctimes%2035%20%3D%203%20%5Ctimes%20%2830%2B5%29%20%3D%283%20%5Ctimes%2030%29%2B%20%283%20%5Ctimes%205%29%20%3D%2090%20%2B%2015%20%3D%20%5C%24105)
Therefore, a expression that can help you to find the cost in dollars of renting 3 kayaks for a day is ![(3 \times 30)+ (3 \times 5)](https://tex.z-dn.net/?f=%283%20%5Ctimes%2030%29%2B%20%283%20%5Ctimes%205%29)
Answer:
76ft^2
Step-by-step explanation:
do 18xpi to get the area
you get 57
it says every 3 cm is four ft so divide 57 by 3
you get 19 thats how many 4ft there are
then do 19x4 because thats how much each 3cm is in ft
you get 76
and since its area its ft^2