Solve the equation.
p2 - 10p + 21 = 0

Answers

Answer 1

Answer:

p = 3 or p = 7

Step-by-step explanation:

Answer 2

Answer:

p²-7p-3p+21=0

p(p-7)-3(p-3)=0

(p-3)(p-7)=0

either

p=3

or

p=7


Related Questions

Evaluate when x = -3 and y= -1:

Answers

Answer:

-3 + -1

Step-by-step explanation:

Find the distance between the points P and Q shown below

Answers

Answer:

[tex]d=\sqrt{61}[/tex]

Step-by-step explanation:

P (-3, 2) Q (5, -1)

Substitute into the formula below

Which letters from the table represent like terms?
O A and B
O B and C
O A and D
O Band D

Answers

which letter from table represent like terms    asnwer   A

The binomial letters from the table represent like terms are 'B' and 'C'.

What are binomials?

A mathematical expression made up of two terms joined together with a plus or minus sign.

Step 1: Multiplication of binomials:

It is necessary to multiply each phrase of the first binomial by each term of the second binomial when multiplying two binomials. Then, like terms are put together.

Step 2: Calculation for the given binomials:

A = (-2x)×(4x) = -8x²

B = (4x)×3 = 12x

C = 1×(-2x) = -2x

D = 1×3 = 3

As, it is shown from the given expressions that the values for B and C are alike.

Thus, B and C are the letters from the table represent like terms.

To know about the standard binomial form, here

https://brainly.com/question/4892534

#SPJ2

For Exercises 1 and 2, find the unknown angle measures in each triangle

Answers

Answer:

Number 1 is also 125 because it corresponds.

Step-by-step explanation:you see other line in the triangle right!if u see both are giving that line anywhere then you will know they corresponds! hope it hels!good night!

(-1,4) and ( 1, -1) Find the distance between each pair of points

Answers

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

We are basically trying to find the hypotenuse of the triangle.

The distance between the x is 2, and the distance between the y is 5, which makes a length and a width.

Pythagrenum theorem: a^2+b^2=c^2

2^2 is 4, 5^2 is 25.

4+25 is 29.

The distance is [tex]\sqrt{29}[/tex].

Which expression is equivalent to the measure of 24 in the image below?
5
6
3
1
2
4

Answers

I can’t see the image I’m sorry maybe it’s just me

Good night everyone
Also
should I
A. Go to bed
B. clean my room
C. Cry



c. is looking like the best option right now

Answers

Answer:

A

Step-by-step explanation:

8 hours of sleep is healthy

Answer:

clean your room then go to bed. you will feel proud of yourself after you do

What is a ratio that compares a quantity to 100

Answers

Answer:

_:100

Step-by-step explanation:

I think lol

Which of the Following is an example of commutative property of addition.

A. 3+9=9+3

B. 4+2=7+4

C. (9 + 8) + 5 =9 +(8 + 5)

D. 6×1=6

Answers

The answer is
A. 3+9=9+3

Can someone help me pls

Answers

Answer:

(b) is correct 9,13,17,21,25

What is the slope of a line that is perpendicular to the line represented by the equation
y = -2/5x + 4/5


5/2

5

5/4

2/5

Answers

Answer:

5/2

Step-by-step explanation:

perpendicular slopes are "negative recipricals" of the original slope.

Answer: 5/2

Step-by-step explanation:

H. M m m m m m m. M mm m m mm m m mmm m m. Mm m m mm m m m. Mmm m m m mm mm m m mm m mm

Answers

Answer:

-97.3 > -97.6

They're both negative, so the seemingly smaller number would be the larger one.

what is graph and the solution??? Pt.3

Answers

ummmmmmmm?mmjjjhhu I uujjjj

A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 11 hours?

Answers

Answer:

The jet will cover 2585 miles in 11 hours.

Step-by-step explanation:

Given that:

Distance travelled by jet in 2 hours = 470 miles

Speed of jet = [tex]\frac{Distance}{Time}[/tex]

Speed of jet = 470/2

Speed of jet = 235 miles per hour

Time = 11 hours

Distance travelled in 11 hours = Speed * Time

Distance = 235 * 11

Distance = 2585 miles

Hence,

The jet will cover 2585 miles in 11 hours.

someone help its due

Answers

Answer:

15

Step-by-step explanation:

PQR = 150.

RPQ = PRQ

RPQ + PRQ = 30

RPQ = 15

15 is the answer, if it’s wrong im not sure what else it’d be

Allison invest $5000 in CD at an interest rate of 2%. What will her total be worth at the end of 3 years?

Answers

Answer:How much interest will I earn in a CD? It depends on the interest rate the bank offers and how long the CD's term is. Here's an example: $5,000 invested in a 3-year CD with a 0.80% APY would earn about $120 by the end of the term.

Step-by-step explanation:

Round off 54.3223 to 1 decimal place

Answers

Answer:

54.3

Step-by-step explanation:

since it is mentioned 54.3223, then u should see the two decimal places as they are asking to round it off to one decimal place. so we should see 54.32 only

if the second decimal is less than 5, then you should write the first decimal as it is like the above mentioned question (remember we are only supposed to mention one decimal place)

but if it is 5 or more, then you should move the first decimal to the next number. for example, 54.678. for this you should write 54.7 because the second decimal is more than 5

if they are asking to round it off to 3 places then you should see 4 decimal places

you're welcome....

what is 25% of 50

need help

Answers

Answer:12.5

Step-by-step explanation:

50 divided by 4 = 12.5

just need the answer

Answers

Answer Simplified: 4.8h-2.3d-14

A box of tissues has a length of 11.2 centimeters,a width of 11.2 centimeters and a height of 13 centimeters.What is the volume of the tissue box?

Answers

Answer:

The volume of the box is 1630.72

Step-by-step explanation:

11.2x11.2x13= 1630.72

✩brainliest appreciated✩

If f(x) = 3x - 2 then what is f(10)?

Answers

Answer:

f(10) = 3(10) - 2 = 28

Step-by-step explanation:

Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.
A) -1
B) -2
C) 1
D) 2

Answers

Answer:

D) 2

The average rate of change of f(x)

A(x) =2

Step-by-step explanation:

Step(i):-

Given that the function f(x) = x² - 3x -10

Given x =a = -5   and y = b = 10

The average rate of change of f(x)

[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]

Step(ii):-

f(x) = x² - 3x -10

f(-5) = (-5)² - 3(-5) -10 = 25+15-10=30

f(10) = (10)² -3(10)-10 = 100 -30 -10 =60

The average rate of change of f(x)

[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]

[tex]A(x) = \frac{60-30}{10-(-5)}= \frac{30}{15} = 2[/tex]

A(x) =2

please help and please explain, thank you:)​

Answers

Answer:

I think it is K = 2

Step-by-step explanation:

Hope this helps.

K=2 that’s the answer by the way!Have a great day

Can you guys please help me!!

Answers

32 it’s as simple as 4(5) + 12

Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Slope intercept form 8x-6y=18

Answers

Answer:

x 5 y 3

Step-by-step explanation:

brainliest

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n+5/-3=2
To solve this equation for n the first step is to multiply by −3 on both sides. Why is the first step multiplication and NOT addition? (one sentence response)

Answers

Answer:

The first step is multiplication because 5/-3 is a fraction and to make the equation more easier to solve for n, multiplying by -3 will get rid of the fraction.  

Step-by-step explanation:

Answer:

Just a tip when doing algebra remember PEMDAS. it helps you with the order of operations. it has helped me so much

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

what is the value of power 0f a if a in 5 ^ a = 1 over 125​

Answers

Answer:

㏑(5a)=㏑(1)

Expand ㏑(5a) by moving a outside the logarithm.

.................................

a㏑(5)=㏑(1)

a=0/㏑(5) => a=0

Step-by-step explanation:

As a estimation we are told £3 is €4. Convert £25.50 to euros €

Answers

Answer:

£34

Step-by-step explanation:

→ Find how euros is in a pound

£3 = €4

£1 = €1.33

→ Multiply the euro by 25.50

1.33333 × 25.50 = £34

Answer:

€34

Step-by-step explanation:

First you'll want to find out how much £1 is.

Since we know £3 is equal to €4 we can:

divide £3 by 3 = £1divide €4 by 3 = €1.33

So, £1 = €1.33

With this in mind, we can find out what £25.50 is:

£1 x 25.50 = £25.50€1.33 x 25.50 = €34

Therefore, £25.50 = €34

1 Suppose the vertices of the original figure in the example
were A(-6,6), B(-2,5), and C(-6,2). What would be the
vertices of the image after a 90° clockwise rotation about
the origin?
A'(_)
B'( ____
C'(___)

Answers

Answer:

A' = (6, 6)

B' = (5, 2)

C' = (2, 6)

Step-by-step explanation:

The rule is [tex](x, y) --> (y, -x)[/tex]

4a) Why are the two triangles congruent? *
H
M
K
J
L

Answers

Answer:

SAS Congruency (see below)

Step-by-step explanation:

First, prove the two triangles congruent:

You should know that ∠HKL ≅ ∠MKL because of Vertical Angles Congruence Theorem because they're vertical angles.

If it's already given that HK ≅ MK and JK ≅ LK, then you can clearly see that you can use the SAS Postulate to prove ΔHKL ≅ ΔMKL.

For a flow chart proof for this, refer to the image:

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