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2 years ago

Complete the statement.

Mathematics

1 answer:

svetoff [14.1K]2 years ago

5 0

Answer: -1/2

Step-by-step explanation:

slope = rise/run = (-1)/2 = -1/2

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Ken has read 1/3 of his book what fraction of his book is left to read?

Stells [14]

Answer:

2/3

Step-by-step explanation:

fraction of book already read = 1/3

fraction which represents whole book = 1 = 3/3

fraction of remaining book = fraction of whole book - fraction of book already read

= 1 - 1/3

= 3/3 - 1/3

= (3-1) /3

= 2/3

8 0

3 years ago

What are the ordered pairs of the solutions for this system of equations? f(x)=x2-2x+3; f(x)=-2x+28

Alenkasestr [34]

Answer: (5,18); (-5,38)

Step-by-step explanation:

x^2-2x+3=-2x+28

x^2-25=0

(x-5)(x+5)= 0

-2(5)+28= 18

-2(-5)+28=38

(5,18)(-5,38)

4 0

3 years ago

If sinx=1/5 and x terminates in the first quadrant, determine cos 2x.

LenaWriter [7]

Hey there! I'm happy to help!

Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.

We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.

x=sin $^-1$ (1/5)

x≈ 11.536959

2x≈ 23.073918

Now, we just cosine this value.

cos2x≈ 0.92

I hope that this helps! Have a wonderful day!

3 0

2 years ago

Factor the polynomial completetly 21b2-40b-21

ch4aika [34]

First we note symmetry in the expression's coefficients.
We also note that 7*3=21, and 7+3=10.

From the rational roots theorem, we are tempted to try with 3 and 7 as coefficients of the factors.

Try
(7b+3)(3b+7)=21b^2+(49+9)b+21
By switching the sign of 3b+7 to 3b-7, we get the signs right, to check:
(7b+3)(3b-7)=21b^2+(9-49)b-21=21b^2-40b-21 ....right!

So
(7b+3)(3b-7)=21b^2-40b-21

3 0

3 years ago

Examples of irrational numbers.?

Setler [38]

Irrational numbers are numbers that can’t be put into a fraction
Ex:
$\pi \sqrt{146}$
18/0
e
The golden ratio

6 0

3 years ago