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Alex17521 [72]
3 years ago
13

Simplify the following expression : (2x + 7y) (x – 3y) – (9x + 4) (3x - 2)

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0
-25x^2+xy-21y^2+6x+8
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riangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding point
tester [92]

Answer:

5 units

Step-by-step explanation:

According to the given statement  Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.

To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs

The square of the required distance = 4^2+3^2 = 16+9 =25

By taking root of 25 we get:

√25 = 5

Thus, we can conclude that the the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′  is 5 units. ..

7 0
3 years ago
How to comment on brainly.com and I'm only 8-years-old so keep it simple please
dedylja [7]

Answer:

You just do.

Step-by-step explanation:

That's all there is

8 0
2 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

Z_{\alpha /2} = Z_{0.025}= -1.96

Z_{1-\alpha /2} = Z_{0.975}= 1.96

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u>    17-15     </u> = 1.99

     σ/√n              5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0
3 years ago
Evaluate the expression when b=-7 and y=7 b-4y
Bess [88]

b =  - 7 \: y = 7

b - 4y

( - 7) - 4(7)

- 7 - 28

=  - 35

3 0
3 years ago
Read 2 more answers
Eric bought a canoe for $333.75. The sales tax was 5.25%. What was his total cost?
Jobisdone [24]

Answer:

the answer is 397.32

Step-by-step explanation:

333.75 ÷ 5.25 = 397.32

8 0
2 years ago
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