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3 years ago

Select the correct answer.

Mathematics

1 answer:

BaLLatris [955]3 years ago

7 0

Answer:

Step-by-step explanation:

in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x

that is

if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees

since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees

therefore y=100

now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees

that is

x+y=180

we know that y = 100

therefore,

x+100=180

collect like terms and

x = 180-100

therefore,

x= 80

thank you!!

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Please help

tia_tia [17]

Answer:

The answer to your question is letter B.

Step-by-step explanation:

Data

Center = (-10, 6)

radius = 8

Process

1.- To find the answer to your question just substitute the values in the standard form of the circle.

Equation

(x - h)² + (y - k)² = r²

h = -10

k = 6

r = 8

Substitution

(x + 10)² + (y - 6)² = 8²

Simplification

(x + 10)² + (y - 6)² = 64

8 0

3 years ago

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago

Aaron and his friends went trick or

sergeinik [125]

Answer:

4.472

Step-by-step explanation:

So we just have to divide

22.36 / 5 = 4.472

6 0

3 years ago

Read 2 more answers

What is the absolute value of each number 2 1/3

Arlecino [84]

They are already both positive numbers, so the absolute value of 2 is 2, and the absolute value of 1/3 is 1/3.

8 0

3 years ago

Joshua created the following sequence. This sequence grows at a constant rate. Fill in the blanks with the missing terms of the

quester [9]

Answer: A is 32.5

B is 162.5

Step-by-step explanation:

so what i did was that i divided 65/13 and i got 5 and then i divided 5/2 and got 2.5 and then i multiplied 13 and 2.5 and got 32.5 and then i divided 32.5 and 2.5 and got 65 and then i multiplied 65 and 2.5 and got 162.5

hope that helped!

good luck :)

4 0

3 years ago

Read 2 more answers