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seropon [69]
2 years ago
6

I need the answer and explanation pls

Mathematics
2 answers:
Svetach [21]2 years ago
5 0

Answer:

67°

Step-by-step explanation:

A right angle = 90°

90° - 23° = x° =  67°

wolverine [178]2 years ago
3 0

Answer:

67

Step-by-step explanation:

You can see that there is a square in the corner, that means this is a 90 degree angle.

So just subtract 90 to 23 and you'll get 67.

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Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F
Svet_ta [14]

Answer:

A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36

Step-by-step explanation:

The equations are:

y = x^{2} + 2x + 3

y = 2x + 12

The two graphs intersect when:

x^{2} + 2x + 3 = 2x + 12

x^{2} = 0

x_{1}  = 3\\x_{2}  = -3

To find the area under the curve for the first equation:

A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx

To find the area under the curve for the second equation:

A_{2} = \int\limits^3__-3}{2x + 12} \, dx

To find the total area:

A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx

Simplifying the equation:

A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).  

3 0
2 years ago
What is the slope of the graph?
Nookie1986 [14]

Answer: The slope is \frac{3}{5}

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Observe the graph provided in the exercise.

You can notice that these two points are on the line:

(2,3) and (7,6)

Then you can identify that:

y_2=3\\y_1=6\\\\x_2=2\\x_1=7

Knowing these coordinates, you can substitute values into the formula for calculate the slope.

Then, you get that the slope of the graph is:

m=\frac{3-6}{2-7}\\\\m=\frac{-3}{-5}\\\\m=\frac{3}{5}

4 0
3 years ago
PLS HELP ILL GIVE BRAINLIEST
bija089 [108]

Answer:

g(2) = -1

Step-by-step explanation:

When x = 2, we can pick the last expression in the g(x) limit, since our x-value matches the criteria of that expression (our x value is equal to 2)

Now we just plug in our x-value and solve for g(x) [in this case, g(2)]

g(2) = 2x - 5

g(2) = 2(2) - 5

g(2) = 4 - 5

g(2) = -1

5 0
2 years ago
R is between Q and S<br> Find QR
Gala2k [10]

Answer:

23.8

Step-by-step explanation:

68.4 - 44.6 = 23.8

6 0
2 years ago
Read 2 more answers
What is 999 divided by 3
solniwko [45]
999 divided by 3 is 333
8 0
3 years ago
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