Because of the commutative property of multiplication, it is true that

QUICK! EASY QUESTON 30 POINTS

S_A_V [24]

Answer:

draw a line that intersects the first line at an acute angle using a straightedge

Step-by-step explanation:

perpendicular lines are lines that cross each other (not rays)

3 0

4 years ago

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Find a polynomial with the following zeros. HELPPPP ASAPPP

Pavlova-9 [17]

Answer:

x³ - 4x² + 2x + 4 = 0

Here's how I solved this:

You start off by rewriting the zeros into factors:

1 - √3 → x = 1 - √3 → (x - 1 - √3)

2 → x = 2 → (x - 2)

1 + √3 → x = 1 + √3 → (x - 1 + √3)

Now you want to multiply the factors together:

(x - 1 - √3) · (x - 2) · (x - 1 + √3)

- Multiply the first two factors together -

(x - 1 - √3) · (x - 2)

↓

(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)

- Combine like terms and simplify -

(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)

↓

(x² - 3x - √3 · x + 2√3 + 2)

- Now multiply the third factor -

(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)

↓

(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)

↓

(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)

- Combine like terms and simplify -

(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)

↓

x³ - 4x² + 2x + 4

--------------------------------------------------------------------------------------------------------------

And there we get our solution: x³ - 4x² + 2x + 4

8 0

2 years ago

Kenny uses 1/16 of the chocolate syrup bottle for every scoop of ice cream that he eats . How many scoops of ice cream has Kenny

ozzi

Answer:

Kenny has eaten 44 ice cream scoops.

Step-by-step explanation:

Given:

Kenny uses $\frac{1}{16}$ of the chocolate syrup bottle for every scoop of ice cream that he eats.

Now, to find the scoops of ice cream Kenny has eaten, If he has used $2\frac{3}{4}$ bottles of chocolate syrup.

So, we use unitary method to find the number of scoops of ice cream:

If, $\frac{1}{16}$ of the chocolate syrup bottle Kenny uses to eat = $1\ ice\ cream\ scoop.$

Then, 1 of the chocolate syrup bottle Kenny uses to eat $=\frac{1}{\frac{1}{16} } =16\ ice\ cream\ scoops.$

Thus, $2\frac{3}{4}$ bottles of chocolate syrup bottle Kenny uses to eat = $16\times 2\frac{3}{4}$

$=16\times \frac{11}{4}$

$=16\times 2.75$

$=44\ ice\ cream\ scoops.$

Therefore, Kenny has eaten 44 ice cream scoops.

6 0

3 years ago

If a system of two inequalities has a solution, then their two half planes intersect , true or false ?

Nana76 [90]

Answer: The answer is true.

Step-by-step explanation: The given statement is

'If a system of two inequalities has a solution, then their two half planes intersect'.

We are to check whether the statement is true or false.

Let a system of two inequalities be

$x+y\geq 3,\\\\2x+5y\leq 10.$

These inequalities has a solution, for example, x = 2, y = 1.

Plotting these inequalities on a graph paper (please see the attached graph), we see that the two half planes intersect, which is represented by the double shaded region in the graph.

Thus, the given statement is TRUE.

7 0

4 years ago

Rebecca earns 4250 per month, of which 24 percent is taken out of her paycheck for federal and state income taxes and other requ

elena-s [515]

Answer:

39.22%

Step-by-step explanation:

hope this helps :)

6 0

3 years ago

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