Answer:
B) Measures the space inside in square units
Step-by-step explanation:
Here's my step-by-step explanation:
Whenever you see the phrase "a number" in a problem like this, then they want you to use a variable. Let's use <em>n</em> for number and translate from English to Algebraic.
- The product of 2 more than a number and 10 is 36 more than 8 times the number.
- The product of 2 more than <em>n</em> and 10 is 36 more than 8 times <em>n.</em>
<em>- </em>The product of 2 + <em>n</em> and 10 is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
Let's solve.
(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
20 + 10<em>n</em> = 36 + 8<em>n</em>
10<em>n</em> - 8<em>n</em> = 36 - 20
2<em>n</em> = 16
<em>n</em> = 8
Hope this helps, let me know if I made a mistake or if you have any questions!
Answer:
Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line
Step-by-step explanation:
which number line shows correctly -0.8 + 0.6?
well lets write it in words minus eight tenths plus six tenths\
so minus:
you go 0.8 units to the left from 0,
then plus:
you go 0.6 units right from -0.8, getting to -0.2
since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:
we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2
Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC
<h3>How to dilate the triangle?</h3>
From the complete question, we have the following coordinates:
- Point A = (-4,5)
- Point B = (7,-7)
- Point C = (-2,2)
- Point P = (1,-4)
- Scale factor, k = 1/3
The dilation rule across the center P is:
(x, y) --> (1/3x – 1, 1/3y + 4)
So, the coordinates of the image of the triangle are:
A' = (-1/3 * 4 – 1, 1/3 * 5 + 4)
A' = (-7/3, 17/3)
B' = (1/3 * 7 – 1, -1/3 * 7 + 4)
B' = (4/3, 5/3)
C' = (-1/3 * 2 – 1, 1/3 * 2 + 4)
C' = (-5/3, 14/3)
From the above computation, the coordinates of the new triangle is:
A' = (-7/3, 17/3)
B' = (4/3, 5/3)
C' = (-5/3, 14/3)
See attachment for the image of triangle ABC
Read more about dilation at:
brainly.com/question/16752437
Answer:
The product of the monomials is 2304 ![x^{5}](https://tex.z-dn.net/?f=x%5E%7B5%7D)
![y^{6}](https://tex.z-dn.net/?f=y%5E%7B6%7D)
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- We need to find the product of the monomials (8x 6y)² and
![x^{3}y^{4}](https://tex.z-dn.net/?f=x%5E%7B3%7Dy%5E%7B4%7D)
- At first lets solve the power of the first monomial
- Because the power 2 is on the bracket then each element inside the
bracket will take power 2
∵ (8x 6y)² = (8)²(x)²(6)²(y)²
∵ (8)² = 64
∵ (x)² = x²
∵ (6)² = 36
∵ (y)² = y²
∴ (8x 6y)² = [64x² × 36y²]
∵ 64 × 36 = 2304 x²y²
∴ The first monomial is 2304 x²y²
∵ The first monomial is 2304 x²y²
∵ The second monomial is ![x^{3}y^{4}](https://tex.z-dn.net/?f=x%5E%7B3%7Dy%5E%7B4%7D)
- Lets find their product
- Remember in multiplication if two terms have same bases then we
will add their powers
∵ [2304 x²y²] × [
] =
2304 [
] [
]
∵
=
= ![x^{5}](https://tex.z-dn.net/?f=x%5E%7B5%7D)
∵
=
= ![y^{6}](https://tex.z-dn.net/?f=y%5E%7B6%7D)
∴ [2304 x²y²] × [
] = 2304 ![x^{5}](https://tex.z-dn.net/?f=x%5E%7B5%7D)
![y^{6}](https://tex.z-dn.net/?f=y%5E%7B6%7D)
The product of the monomials is 2304 ![x^{5}](https://tex.z-dn.net/?f=x%5E%7B5%7D)
![y^{6}](https://tex.z-dn.net/?f=y%5E%7B6%7D)