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vladimir1956 [14]
3 years ago
9

Complete the factorization of 4x2 – 9. 4x2-9= ( x- x+ )

Mathematics
2 answers:
Valentin [98]3 years ago
6 0

Answer:

1.) 2

2.) 3

3.) 2

4.) 3

Step-by-step explanation:

alukav5142 [94]3 years ago
5 0
Here’s the answer for your question. The A/= it means the answer is okay.

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Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
Phantasy [73]

x + y  = 24       where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24. 
x^2 + z^2 = 13^2
y^2 + z^2  = 20^2            where z  = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2  = 20^2 - 13^2  =  231
 now y = 24-x so we have

(24 - x)^2    - x^2 = 231

576 - 48x = 231

48x = 345

x =  7.1875

z^2  =  13^2 - 7.1875^2 =  117.34
z =  1.83

so smaller diagonal = 21.66 cm


looks like its the third choice.



5 0
3 years ago
The blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours. How far is she from the end of the
melomori [17]
In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
                                             = 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
                                                           = 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
                                                                                   = 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
                                                            = (91 - 60)/8 miles
                                                             = 31/8 miles
                                                             = 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.
7 0
3 years ago
Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
Masteriza [31]

Answer:

  • See below

Step-by-step explanation:

<u>Given equation:</u>

  • x² + y² + 8x - 4y - 7 = 0

<u>Convert this to standard form by completing the square:</u>

  • (x - h)² + (y - k)² = r², where (h, k) - center, r - radius
  • x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
  • (x + 4)² + (y - 2)² - 27 = 0
  • (x + 4)² + (y - 2)² = 27
  • (x + 4)² + (y - 2)² = (√27)²

The center is (- 4, 2) and the radius is √27

3 0
2 years ago
A plumber charges $10 for transportation and $37 per hour for repairs.
Ganezh [65]

Answer:

10+37h

Step-by-step explanation:

10 is the flat fee so only happens once

37 is hourly rate so multiply by h (hours)

6 0
3 years ago
2 Probability and Stats questions!!
mart [117]
 1) To find the confidence interval 
the sample mean x = 38     σ = 9; n = 85;
The confidence level is 95% (CL = 0.95) <span>CL = 0.95
so α = 1 – CL = 0.05   
</span><span>α/2 = 0.025   </span>Z(α/2) = z0.025  
The area to the right of Z0.025 is 0.025 and the area to the left of Z0.025 is 1 – 0.025 = 0.975
Z(α/2) = z0.025 = 1.645 This can be found using a computer, or using a probability table for the standard normal distribution.
<span>EBM = (1.645)*(9)/(85^0.5)=1.6058</span> x - EBM = 38 – 1.6058 = 36.3941 <span> x + EBM = 38 + 1.6058 = 39.6058
</span>The 95% confidence interval is (36.3941, 39.6058).
The answer is the letter D
<span>The value of 40.2 is <span>within the 95% confidence interval for the mean of the sample

</span></span>2) To find the confidence interval  <span>
<span>the sample mean x = </span>76     σ = 20; n = 102; </span><span>
The confidence level is 95% (CL = 0.95) CL = 0.95 
so α = 1 – CL = 0.05   
α/2 = 0.025   Z(α/2) = z0.025 
The area to the right of Z0.025 is 0.025 and the area to the left of Z0.025 is 1 – 0.025 = 0.975 
Z(α/2) = z0.025 = 1.645 This can be found using a computer, or using a probability table for the standard normal distribution.
EBM = (1.645)*(20)/(102^0.5)=3.2575 x - EBM = 76 – 3.2575 = 72.7424 </span>  x + EBM = 76 + 3.2575 = 79.2575 <span> 
The 95% confidence interval is (</span>72.7424 ,79.2575).<span>
The answer is the letter </span>A and the letter D<span>
The value of 71.8 and 79.8 <span> are </span> outside<span> the 95% confidence interval for the mean of the sample</span></span>
5 0
3 years ago
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