Find two integers whose sum is -20 and product is 99

Answers

Answer 1

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

-11+y=-20

y=-20=11=-9

when x=-9

-9+y=-20

y=-20+9=-11

so integers  are -11,-9


Related Questions

If the area of a triangle with a base measuring 22 feet is 93.5 square feet, find its height.

Answers

Answer:

height = 8.5 feet

Step-by-step explanation:

Area of a triangle formula:

a=1/2bh

substitute what's given

93.5 = (1/2)22h

93.5=11h

divide both sides by 11 to isolate h

h=8.5 ft

Use the distributive property to expand (simplify): 13(9 + g)​

Answers

13g+117

Step-by-step explanation:

just distribute the 13 to each value in the parentheses

Keiko deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 5 years?

Answers

Answer:

Step-by-step explanation:

Simple interest is not compounded and is

I=Prt (where I=interest, P=principle, r=rate, t=time)

I=3000(.02)5

I=$300

Use substitution to solve the following system of equations.
x + 2y = 13
3x - 5y = 6

Answers

Answer:

{1} x + 2y = 13

{2} 3x - 5y = 6

x = 13 - 2y

substituting into {2}

3x -5y = 6

3( 13 - 2y) - 5y = 6

39 - 6y -5y = 6

-11y = 6 -39

y = -33 /-11

 ( minus and minus cuts in fraction, so the answer will come in positive)

y = 3

now , substituting into {1}

x + 2(3) = 13

x = 13 -6

x = 7

so,

the solution are:-

x = 7

y = 3

I hope this helps a little bit.

I need help with only 4,8,10 and 12 I’m marking brainlest!

Answers

Answer:

4. [tex]\frac{1}{6}[/tex]

8. [tex]\frac{1}{2}[/tex]

10. [tex]7\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]7\frac{1}{4}[/tex]

I've answered 4, 8 and 10 for you as you haven't provided 12, but I hope this helps!! ^-^

7/8 + m = 4 3/4

A. m = 3

B. m = 3 7/8

C. m = 4 1/8

D. m = 5 5/8

Answers

The answer to this question is B.

Sandra uses 2/25 kilogram of cocoa powder in each serving of her famous cocoa drink. She has 1 1/10 kilograms of cocoa powder. How many servings can Sandra make?​

Answers

Answer:

13 servings

Step-by-step explanation:

(11/10) / (2/25)

= 13.75

She can make 13 servings [not enough to make up to 14 servings]

what's the seventh term

1,2,3,4,5,.....

Answers

Answer:

understand

Step-by-step explanation:

hope it's helpful for you

A triangle has two sides of length 14 and 10. What is the smallest possible whole-number
length for the third side?

Answers

It has to be less than 24

52/4 + 8z^2
I need help solving this equation?

Answers

Answer:

8

2

+

1

3

Step-by-step explanation:

13/1 +8z2
Answer = 13+8z2

plz help me With this question plz !!!!

Answers

Answer:

arc WVY = 250°

Step-by-step explanation:

The tangent- tangent angle YXW is half the difference of the intercepted arcs

[tex]\frac{1}{2}[/tex] ( WVY - WY) = 70

[tex]\frac{1}{2}[/tex] (10a - (4a + 10) ) = 70 ( multiply both sides by 2 )

10a - 4a - 10 = 140

6a - 10 = 140 ( add 10 to both sides )

6a = 150 ( divide both sides by 6 )

a = 25

Then

arc WVY = 10x = 10 × 25 = 250°

Please answer i need help​

Answers

Answer:

[tex]\huge\boxed{\text{B) 1}}[/tex]

Step-by-step explanation:

In order to find which expression is equivalent to [tex](8^5 \times 3^{-7})^0[/tex], we need to note the order of operations.

PEMDAS tells us that when solving an equation, we'd go in this order.

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

Using this, we'd start by evaluating what's inside the parentheses, [tex]8^5 \times 3^{-7}[/tex]. We'd then bring that value to the 0th power.

Wait... there's something special about bringing anything to the 0th power. Bringing anything to the 0th power makes the value 1.

It can be -5... it can be 1,000,000, any number possible, taken to the 0th power, will always be 1.

So no matter what the value inside the parentheses is, taking it to the 0th power will always make it 1.

Therefore, this expression is equivalent to 1.

Hope this helped!

A teacher is making a seating chart in order to group his class of 30 students. He puts 5 students in each group.
What should the teacher do to figure out how many groups he will have?

Answers

Answer:

The teacher should divide the amount of students by 5, that way they'll find how many groups they'll have. And the amount of groups they'll have is 6 groups of 5 students, you didn't ask for this part but I decided it'd be best to add it. Hope this helps, have an amazing day you awesome human! ^w^

Step-by-step explanation:

I need help ASAP please

Answers

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

help me pls AAAAAAAA

Answers

Answer:

10/3 liters

Step-by-step explanation:

Divide (4/3) by 2, then multiply by 5

Answer:

10/3 liters

Step-by-step explanation:

Your welcome, hope this helps you

Please helppp. Can you explain this?

Answers

Answer:

We have to find the value of x.

We need to substitute with 3 because they measure the same.

Step-by-step explanation:

(x - 1)

x - 1 = 3

x - 1 + 1 = 3 + 1

x = 4

(x + 1)

x + 1 = 5

x + 1 - 1 = 5 - 1

x = 4

Both answers are the same which means that they are correct.  

A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his
change is $2.75, how many dimes and how many quarters does he have?

Answers

Answer:

9 quarters 5 dimes!

Step-by-step explanation:

9x0.25=2.25

5x0.10=0.50

2.25+0.50=2.75

2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?

Answers

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

Neil got a hit 9 of the 11 times he batted in the softball tournament. Maggie got a hit 18 of the 22 times she batted in the tournament. Did they have the same batting records?

Answers

Answer:

they have the same batting record

Step-by-step explanation:

Batting record for each :

Neil :

9 /11 = 0.8181

Maggie :

18 /22 = 0.8181

From here we see that they both have the same proportion of hits :

Hence they have the same batting record

In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

Answers

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

HELP ME PLEASE!!!! I am failing this class and don’t know what to do.

Answers

i have to do formative assignments too

Would the answer be 550.25?

Answers

I can’t really see the picture can you put another one so I can help you

Answer:

$52.50

Step-by-step explanation:

1. You take 550 and divide by 5.

2. Then you would takw that number (105) and multiply by 2 (210)

3. Then you take 210 and divide by 4 which equals 52.5

4. The answer is 52.5 because she takes 1/4 of the 2/5 for vacation a month.

PLZZ HELPP!!! The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:

Part A: What do the x-intercepts and maximum value of the graph represent?

Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

where is the graph i need the graph to at least awnser this

Angela is making 25 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

5

Step-by-step explanation:

Vanilla ice cream = 3/5 x 25 = 15

Remaining = 25 - 15 = 10

Mint ice cream = 1/2 x 10 = 5

Remainder = 10 - 5 = 5 = vanilla

The diameter of the circular clock shown below is 10 inches.
Which measurement is closest to the area of the clock in square inches?

Answers

First find the radius.
r=d/2
r=10/2
r=5 in.

Find the area
A=pi•r^2
A=pi(5)^2
A=25pi
A=78.5 in.

Answer is H.
The answer is H. (The area is 78.54)

The expression (7-4i)-(3-12i) simplified is

Answers

Answer:

8i + 4

Step-by-step explanation:

Add/subtract like terms:

7 - 3

= 4

-4i - (-12i)

-4i + 12i

= 8i

Add these together:

8i + 4

So, the simplified expression is 8i + 4

The playroom on a blueprint is 3 cm by 8 cm. If the blueprint was drawn using a scale of 1 cm
= 5 ft, what are the actual dimensions of the playroom?

Answers

Answer:

15 feet by 40 feet

Step-by-step explanation:

if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.

What is the length of the hypotenuse of the triangle?

Answers

Answer:

Step-by-step explanation:

The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.

The function f is given by f(x) = (x−2)(x+4)



What are the x-intercepts of the graph representing f?

Answers

Answer:

intercepts are 2 and -4

I hope this helps ;)

Please help me with this

Answers

Answer:the answer would also be 20 degrees

Step-by-step explanation:

because its exaclty across from the angle!!!!!

Answer:

20 degrees

Step-by-step explanation

they are opposite angles

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