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3 years ago

the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

$138+x+x=180 \iff 2x=42 \iff x=21$

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

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HELP: Part A: Using computer software, a correlation coefficient of r=0.51 was calculated. Based on the scatter plot, is that an

user100 [1]

Answer:

Part A: YES, it is.

Part B: the amount of pumpkin picked and the amount of fertilizer applied.

Step-by-step explanation:

Part A:

The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.

The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.

Part B:

A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.

8 0

2 years ago

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 1.x - 3 y - 7 = 2.x -

Nutka1998 [239]

Answer:

x- 3y - 7=0

Step-by-step explanation:

the line in the slope-intercept form:

y= mx+b

m= 1/3 and point given (1, -2) by using which we find y-intercept:

b= y-1/3x
b= -2- 1/3*1= - 7/3

y= 1/3x- 7/3

General form of a line is: ax+by+c= 0

converting:

y= 1/3x- 7/3 ⇒ 3y= x- 7 ⇒ x- 3y - 7=0

5 0

3 years ago

Simplify 8^x/4^y x 2^z

Lera25 [3.4K]

Answer:

The answer is 8x.

Step-by-step explanation:

It is 8x.

EXCEPT,

Is it $2^{z}$ or $2^{2}$

If it is $2^{z}$ then the answer is $\frac{2^{3x+z} }{4}$

PLEASE MARK BRAINLIEST

4 0

2 years ago

Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

$f(x)=x^4-x^3-2x-4$

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

8 0

2 years ago

The domain of a function is? When it includes all real numbers

Ray Of Light [21]

Domain is x values... Y is y values

6 0

3 years ago