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3 years ago

QUICKKKKK!!!! SHOW YOUR WORK

Mathematics

1 answer:

Inessa [10]3 years ago

8 0

Answer:

i think X is 9 and y is 5

Step-by-step explanation:

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The diameter is a circle is 18cm. Find it’s circumference in terms of π.<br><br> C= ________cm

Sedbober [7]

Answer should be 56.55

6 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through the points (-2, -3) and (1, -3)._____________ What is the slope?___

Gre4nikov [31]

Answer:

y = -3, slope = 0

Step-by-step explanation:

1) First, find the slope of the line. Substitute the x and y values of the given points into the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ , and solve:

$m = \frac{(-3)-(-3)}{(1)-(-2)} \\m = \frac{-3+3}{1+3} \\m = \frac{0}{4} \\m = 0$

Thus, the slope is 0.

2) If a line has a slope of 0, that means it is horizontal. All horizontal lines are represented by the equation y = a number. That number is determined by the y-value of all the points the line intersects. Thus, find the y-value of the given points and put it into the equation. Looking at the given points, that number would be -3, so y = -3 is the equation.

3 0

3 years ago

Which of the following points below represents (- 2, - (5pi)/4) the polar grid?

Maru [420]

Answer:

Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:

r = √(x^2 + y^2)

θ = Atg(Iy/xI) + 90°*(n - 1)

where n is number of the quadrant where our point is.

For example, if we are on the second quadrant, we use n = 2.

Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:

x = r*cos(θ)

y = r*sin(θ)

Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:

x = -2

y = -(5*pi)/4

Using the first relation, we can find that:

r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4

(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)

θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°

Then the point that represents (- 2, - (5pi)/4) in polar coordinates is the point:

(4.4, 262.7°)

If instead of degrees, the angle part is written in radians, we have:

180° = 3.14 radians.

262.7° = x radians.

then:

x/3.14 = (262.7)/180

x = 3.14*(262.7)/180 = 4.58 radians.

then the point will be:

(4.4, 4.58 radians)

7 0

3 years ago

If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.

Nonamiya [84]

Answer:

The explicit formula of the sequence is $a_n=5(\frac{1}{5})^{n-1}$ for $n \geq 2$

Step-by-step explanation:

Sixth term in a geometric sequence = $\frac{1}{625}$

Common ratio = $\frac{1}{5}$

Formula of nth term = $a_n=ar^{n-1}$

Substitute the values

So, $\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a$

5=a

Substitute the value in 1

So, $a_n=5(\frac{1}{5})^{n-1}$

So, Option C is true

Hence the explicit formula of the sequence is $a_n=5(\frac{1}{5})^{n-1}$ for $n \geq 2$

7 0

4 years ago

Solving 12-(x+3)=10

Margarita [4]

12-(x+3)=10

Simplify the equation.

12-x-3=10

Combine like terms.

(12-3)-x=10

Simplify.

9-x=10

Subtract 9 from both sides to get x by itself.

-x=1

Divide both sides by -1 to get x by itself.

x=-1

~Hope I helped!~

4 0

4 years ago