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olga nikolaevna [1]
3 years ago
14

Can i get a step by step for this?

Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer:

  • x = 85°

Step-by-step explanation:

<u>Sum of interior angles of any triangle is 180°:</u>

  • 52° + 43° + x = 180°
  • 95° + x = 180°
  • x = 180° - 95°
  • x = 85°
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shusha [124]

Answer:

x = -3

Step-by-step explanation:

y\geq -\frac{2}{3} x-3\\&#10;y\leq 3x+8

-\frac{2}{3} x-3=3x+8

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Subtract 8 from both sides: -11=\frac{11}{3}x

Multiply both sides by 3:  -33=11x

Divide both sides by 11:  x=-3

Therefore, point of intersection between both lines is at point (-3, -1)

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Question: A book contains 10 photograph , some in color and some in black-and-white. Each
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Answer:

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Step-by-step explanation:

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3 years ago
This is really confusing. Thanks for helping.
Mandarinka [93]
Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots


initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots


replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots



B is answer
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3 years ago
What is the formula to calculate the area of a square/rectangle
emmasim [6.3K]
Area of square/rectangle = length times width
4 0
3 years ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

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x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
3 years ago
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