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VladimirAG [237]
2 years ago
12

I need the answers?

Mathematics
1 answer:
tresset_1 [31]2 years ago
5 0
The y intercept is -5
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Write the following expression
Rashid [163]

Answer:

2x^2 - 18x + 45

Step-by-step explanation:

Standard form is ax^2 + bx + c

Expand the (x-5)^2 = (x-5)(x-5) --

x^2 - 5x - 5x + 25

x^2 - 10x + 25

So we now have

2(x^2 - 10x + 25) + 2(x-5) + 5

From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.

2x^2 - 20x + 50 + 2x - 10 + 5

Combine like terms

2x^2 - 20x + 2x + 50 - 10 + 5

2x^2 - 18x + 40 + 5

2x^2 - 18x + 45

6 0
3 years ago
What is the exact value of sin(5π/12)? <br><br>(please give steps)​
snow_tiger [21]

Answer:

0.966053748

Step-by-step explanation:

\sin \bigg( \frac{5\pi}{12} \bigg) \\  =  \sin \bigg( \frac{5 \times 180 \degree}{12} \bigg) \\  =   \sin ( 5 \times 15 \degree) \\  =  \sin ( 75 \degree) \\  = \sin ( 45 \degree + 30 \degree) \\  = \sin  45 \degree  \times  \cos 30 \degree + \cos  45 \degree  \times  \sin 30 \degree \\  \\  =  \frac{1}{ \sqrt{2} }  \times   \frac{ \sqrt{3} }{2}  +  \frac{1}{ \sqrt{2} }  \times  \frac{1}{2}  \\  \\  =  \frac{ \sqrt{3} }{2 \sqrt{2} }  +  \frac{1}{2 \sqrt{2} }  \\  \\  =  \frac{ \sqrt{3}  + 1}{2 \sqrt{2} }  \\  \\  =  \frac{1.732 + 1}{2 \times 1.414}  \\  \\  =  \frac{2.732}{2.828}  \\  \\  = 0.966053748

7 0
3 years ago
Example 4
Vesnalui [34]

Answer: Part a: b represents the base fee charged for the "house call" job

m is the hourly rate.

x is the number of hours at the job.

y represents the total cost for the job.

Part b:. The y-intercept is 65

The equation follows y=mx+b

Y= 42x + 65

Part c:. $275

Step-by-step explanation:

The difference between the two total costs, (Camilla 191 - Connor 107)

= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.

m= 42

42 from 107 to find b, the base fee, 65 This is the y-intercept.

The equation is y= 42x + 65

Quick check using Camilla's bill: 191 = (42)(3) + 65

191 = 126 + 65 True!

Part C:

To find the total cost of the plumber's 5 hour job,

Y = 42(5) + 65

Y= 210 + 65

Y= $275

7 0
2 years ago
What is measure of angle R?
OLEGan [10]
Tangent (R) = opposite / adjacent = 5 / 12 = <span> <span> <span> 0.416666
arc tangent (.416666) = angle R = 22.62 Degrees

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7 0
3 years ago
Under her cell phone plan, Aubree pays a flat cost of $50.50 per month and
trasher [3.6K]

Answer:

she can use 14.025 gigabytes

8 0
3 years ago
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