Answer:
Step-by-step explanation:
Your problem setup is correct. The triangle is isosceles, so the marked segments are the same length.
3x - 8 = 2x
You can solve this by subtracting 2x (from both sides) ...
x - 8 = 0
Then adding 8 (to both sides):
x = 8
MB = MA = 2x = 16.
By apply the distributive property of multiplication, the value of k which makes the statement true is 1.
<h3>What is the
distribution property?</h3>
Mathematically, the distributive property of multiplication is given by tis expression:
x(y + z) = xy + xz.
Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:
k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸
Dividing both sides by the common factor, we have:
k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)
k = 1.
In conclusion, the value of k which makes the statement true is 1.
Read more on distributive property here; brainly.com/question/2807928
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<u>Complete Question:</u>
What value of k makes the statement true?
y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸
Answer:
<h2>The domain for this function is

where

.</h2>
Step-by-step explanation:
The given function is

Where
represents cars. This function models the profits they make.
Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.
The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.
Therefore, the domain for this function is
where
.
(Notice that we specify that the independent valur can only use whole positive numbers only).
4(y-3)=3(y+6)
1) Distribute
4y-12=3y+18
2) Addition property of equality
4y=3y+30
3)Subtraction property of equality
y=30
Thats your answer!
Enjoy middle school while you still can!
Answer:
135 = 3y + 3r
y = 30; r = 15
Step-by-step explanation:
y = 3y + 3r
Where,
y = total number of flowers in the garden = 135
y = number of flowers in each yellow flower bed = 30
r = number of flowers in each red flower bed
135 = 3(30) + 3r
135 = 90 + 3r
135 - 90 = 3r
45 = 3r
r = 45/3
r = 15 flowers
number of flowers in each red flower bed = 15