Find all of the missing sides or angles in the right triangle

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, -2 and 2?

lutik1710 [3]

Answer:

Step-by-step explanation:

the polynomial function is; (x - i)(x-2)(x+2)

7 0

3 years ago

Read 2 more answers

Match the mathematical expression with its translation

egoroff_w [7]

Answer:

$\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}$

Step-by-step explanation:

$\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}$

6 0

2 years ago

Need help. How do I do this

lara [203]

9514 1404 393

Answer:

b

Step-by-step explanation:

Use the distance formula with the two points Q and P, then simplify and match the pattern of the answer.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(b-0)^2+(-c-(-a))^2}\\\\\boxed{d=\sqrt{b^2+(-c+a)^2}}$

The value b goes in the green box.

6 0

2 years ago

Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4

Vanyuwa [196]

Answer:

f(x) = 0.2x - 4 (incorrect)

f(x) = 0.5x + 2 (correct)

f(x) = 1/2x + 2 (correct)

y – 3 = 1/2(x – 2) (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

Step 1 : Find two coordinates

(0, 2) (-4, 0)

Step 2 : Find the slope

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

Step 3 : Find the y-intercept

Y-intercept is where the line intersects the y-axis

c = 2

Step 4 : Form the equation y=mx + c

Given Equations and their slope intercept forms:

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

!!

6 0

3 years ago

Read 2 more answers

Please help, thanks.

Liula [17]

Answer:

$\frac{ - 5}{54} + \frac{5 \times 6}{9 \times 6} = \frac{ - 5 + 30}{54} = \frac{25}{54}$

$\frac{15}{4} \div \frac{3}{8} = \frac{15}{4} \times \frac{8}{3} = 10$

$10 \times \frac{25}{54} = \frac{250}{54} = 4 \times \frac{17}{27}$

b )

$4 \times \frac{17}{27} = \frac{125}{27} =$

cube root =

$\frac{5}{3}$

c ) square root

$\frac{125}{27} = \frac{ \sqrt{25 \times 5} }{ \sqrt{3 \times 9} } = \frac{5 \sqrt{5} }{3 \sqrt{3} }$

3 0

2 years ago