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2 years ago

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:

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