Equation of line p is y=x+7. Equation of a is y=-x+11. Prove that the lines are perpendicular

Answer:

y = 2/3x - 7

Step-by-step explanation:

Answer:

[tex]\displaystyle k = 20[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = 3x^3 - 2x + k[/tex]

Where (x + 2) is a factor of f. And we want to determine the vale of k.

Recall that from the Factor Theorem, if (x - a) is a factor of a polynomial P(x), then P(a) must equal 0.

We can rewrite our factor as (x - (-2)). Hence, a = -2. Our polynomial is f. Since (x + 2) is a factor, then from the Factor Theorem, f(-2) must be 0.

Using this information, we can now determine k:

[tex]\displaystyle\begin{aligned} f(x) & = 3x^3 -2x + k \\ \\ f(-2) = 0 & = 3(-2)^3 -2(-2) + k \\ \\ 0 & = (-24) + (4) + k \\ \\ k & = 20 \end{aligned}[/tex]

In conclusion, the value of k is 20.

Answer:

y = 122

Step-by-step explanation:

let us start by adding some angles ourselves.

we are going to add angles at the right side of 150 and at the left of y

we can call the angle beside 151 x and the angle beside y A

first of all, let us find the value of x

now, angles 151 and x add up to 180 because angles on a straight line add up to 180 and the two angle are on a straight line of their own

which means;

151 + x = 180

when we collect like terms,

x = 180 - 151

x = 29

therefore, our x = 29

next, we find A

now, angles 29 ( our x ), 93 and our A all add up to 180 because the sum of angles in a triangle is 180 and our angles are in a triangle ( at least an upside down one with lines shooting out from every end )

that is;

29 + 93 + A = 180

collect like terms

A = 180 - 29 - 93

A = 180 - 122

A = 58

so, now that we have our angle A, the next thing to do is the same thing we did to get angle x,

we can see that A and y are both on a straight line of their own which means that they both add up to 180 degrees

that is;

A + y = 180

and we know that A = 58

so;

58 + y = 180

we collect like terms to have

y = 180 - 58

y = 122

therefore, y = 122

if you might have noticed, y is the same as x and 93

and that is correct because according to a rule in math, the value of an exterior angle of a triangle is equal to the sum of its opposite interior angles of the triangle. this can be explained using our question above

it's the fourth option

what you need to do is convert them all to a decimal and compare them to see which one applies :)

decimal form:

3.14, 2.70, 2.28

Answer:

9 nickels dude its soo easy.

Step-by-step explanation:

Answer:

9 nickles

Step-by-step explanation:

3 dimes is 30 cents

42 pennies is 42 cents

9 nickles is 45 cents

6 (3x + 4) = 42

18x + 24 = 42

18x = 42 - 24

18x = 18

18x / 18 = 18 /18

x = 1

Answer: x = 1

Use the Distributive property:

6(3x+4)=42

18x+24=42

18x=42-24

18x=18

x=1

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

80% PO

Step-by-step explanation:

THANKS. SANA MAKA TULONG PO

Answer:

we have, 1953125=5⁹, so it cannot be a perfect square. If the last digit of a given number is 5, then the last three digits must be perfect squares, 025 or 225 or 625. Otherwise, that number cannot be a perfect square. And as 125 is not a perfect square, so no number ending with 125 can be a perfect square

Answer:

Step-by-step explanation:

Let's see what is similar in both triangles

So Angle-Angle-Angle similarly theorem verified

So Side-Angle-side or Side-Side-Side similarity theorem verified

Answer:

A cord passing through the centre of the circle is called as its diameter

Step-by-step explanation:

brainliest plz

Answer:

Diameter

Step-by-step explanation:

Answer:

19 inches and 26 inches

Step-by-step explanation:

first you have to take 45-7=38

then 38÷2=19

so 19 is one board

last you take 19+7=26

so 26 is the other board

The expression [tex]2.4 \times 7[/tex] can be estimated by [tex]2 \times 7[/tex], so the answer would be roughly 14 here. I'm not sure where you got that '1' from.

Directly below that problem, we have the expression [tex]63.2 \times 0.78[/tex] which can be estimated by computing [tex]63 \times 1[/tex] which simplifies to 63. The '1' is from rounding to the nearest whole number.

Other than that, everything else looks correct on your worksheet.

[tex]1. \frac{13}{15} \times \frac{2}{3} \\ = \frac{26}{45} \\ 2. \frac{4}{5} \times \frac{8}{16} \\ = \frac{4}{5} \times \frac{1}{2} \\ = \frac{2}{5} [/tex]

[tex]3. \frac{4}{24} \times \frac{2}{6} \\ = \frac{1}{6} \times \frac{1}{3} \\ = \frac{1}{18} [/tex]

[tex]4. \frac{1}{2} \times \frac{1}{5} = \frac{1}{10} \\ 5.1 \frac{1}{3} \times 4 \frac{4}{5} \\ = \frac{4}{3} \times \frac{24}{5} \\ = 4 \times \frac{8}{5} \\ = \frac{32}{5} \\ = 6 \frac{2}{5} [/tex]

Answer:

last one

Step-by-step explanation:

last one

Answer:

Step-by-step explanation:

Answer:

- 6(1 - y)(1 + y)

Step-by-step explanation:

- 6 + 6y² ← factor out - 6 from each term

= - 6(1 - y²) ← (1 - y²) is a difference of squares

= - 6(1 - y)(1 + y)

Answer: The vector relies on how the objects of where the magnitude and directions should lay on.

Step-by-step explanation:

So, I’ll help you with these 4 problems. So, for the vector 2/4, it would 2 units up and 4 units to the right. The second would be 5 units down and 6 units to the right. The third one would be 3 units up and 1 unit to the left. The last one would be 10 units downs and 12 units to the left. A simplified way of thinking of this is to just look at the signs of the number and see where the vector’s magnitude and directions would go in that point of view when you visual the graph or count it in your head.

Answer:

c. 3/4

Step-by-step explanation:

The result is 3/4 = 0.75 = three quarters.

Find the least common denominator or LCM of the two denominators:

LCM of 12 and 3 is 12

For the 1st fraction, since 12 × 1 = 12,

Likewise, for the 2nd fraction, since 3 × 4 = 12,

Add the two like fractions:

1/ 12  +  8 /12  =  1 + 8=  9/ 12

9/12 simplified = 3/4

Please allow me to know if I helped by clicking thank you, rating or brainly.

Miss Hawaii

Answer:

24p^2q^2?

Step-by-step explanation:

Not enough info, so this is what I could get...

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of p is :

The solution is in attachment ~

Answer:

[tex]x = 7 \\ y = 9 \\ \\ \\ p = 7x + 20 - 2y \\ p = 7(7) + 20 - 2(9) \\ p = 49 + 20 - 18 \\ p = 51[/tex]

I hope I helped you^_^

Answer:

answers are

3/5b-7=a

w=2.5+h/3

Answer:

Answer:

What are three gifts you'd love to either give or revive for Christmas this year? Write about why these specific gifts are so important to give/receive.

Explanation:

Step-by-step explanation:

Answer:

Kevin's is 56/88 or 7/11.   Rick's is 32/88 or 4/11.

Hope this helps!

Step-by-step explanation:

First, you need to figure out total points so 56+32 = 88. Now you can figure out the percentage that Kevin's team scored and the percentage Rick's team scored.

K:   56/88    

56/88 = 0.6363636363636...

So Kevin's percentage of total points is 63.363...%

R:   32/88

32/88 = 0.3636363636...

So Rick's percentage of total points is 36.3636...%

Answer:

The bottom graph

Step-by-step explanation:

The reason for this is, it is the only graph with the slope of 1/3

You figure this out by starting from the origin and counting up until the next place where the line connects with two lines of the grid, then you count across to that cross point

It's known as counting the rise over run

I hope I explained that well, it was pretty bad but I hope this helped

Brainliest if it did help? :P

No pressure though. Have a great day!

Answer:

It's the 4th graph, to the bottom right corner.

Step-by-step explanation:

Since x is greater than 2, we are looking at everything shaded to the right of 2. The line is also important, if it's a greater than sign or a less than sign, the line will always be dotted. While a greater than or equal to sign, or a less than or equal to sign will always be solid.

Hopes this makes sense :)

Answer:

the second one

Step-by-step explanation:

no repeating x values

8.25

Simple question, but it's cause 30-20 = 10 and half of 10 is 5

Answer:

8.25

Step-by-step explanation:

halfway from .20 is 25 so