Write two numbers that multiply to the value on top and add to the value on bottom. -60−60 -4−4 \times× ++

Answers

Answer 1

Answer:

The two numbers are 6 and -10

Step-by-step explanation:

Given

[tex]Product = -60[/tex]

[tex]Sum =-4[/tex]

Required

Two numbers that satisfy the above

Let the two numbers be x and y.

So:

[tex]x * y = -60[/tex]

[tex]x + y = -4[/tex]

Make x the subject

[tex]x = -4 - y[/tex]

Substitute [tex]x = -4 - y[/tex] in [tex]x * y = -60[/tex]

[tex](-4 -y) * y = -60[/tex]

Open bracket

[tex]-4y -y^2 = -60[/tex]

Rewrite as:

[tex]y^2 + 4y - 60 = 0[/tex]

Split

[tex]y^2 + 10y - 6y - 60 = 0[/tex]

Factorize

[tex]y(y + 10) - 6(y + 10) = 0[/tex]

Factor out y + 10

[tex](y - 6) (y + 10) = 0[/tex]

Solve for y

[tex]y -6=0\ or\ y+10=0[/tex]

[tex]y =6\ or\ y=-10[/tex]

Recall that:

[tex]x = -4 - y[/tex]

So:

[tex]x = -4-6= -10[/tex]

or

[tex]x = -4--10= 6[/tex]

So:

[tex]y =6\ or\ y=-10[/tex]

[tex]x = -10\ or\ x =6[/tex]

The two numbers are 6 and -10


Related Questions

Five concert tickets cost $181.25.What is the cost of 8 concert tickets?

Answers

The cost of 8 Concert Tickets is $290

Step-by-step explanation:

Five concert tickets cost = $181.25.

The cost of 8 concert tickets = ?

Now,

181.25 ÷ 5 = 36.25

Here, We get the value of one concert ticket is $36.25

Now, For 8 Concert Tickets

8 × 36.25 = 290

Thus, The cost of 8 Concert Tickets is $290

-TheUnknownScientist

Answer:

$290.

Step-by-step explanation:

$181.25 divided by 5 equals $36.25, therefore, $36.25 x 8 = $290. So, the cost for 8 concert tickets is $290.

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answers

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

A cylindrical pipe is 25 ft long and has a volume of 900ft3 find it's approximate diameter to the nearest hundredth of a foot

Answers

Answer:

Diameter of the pipe ≈ 6.77 ft

Step-by-step explanation:

Volume of a cylinder = πr²h

Here, r = Radius of the cylindrical pipe

h = Length of the pipe

Volume of the pipe = 900 ft³

Length of the pipe = 25 ft

By substituting the given values in the formula,

900 = π(r)²(25)

r² = [tex]\frac{900}{25\pi}[/tex]

r = √11.459

r = 3.385

Diameter = 2(radius)

                = 2(3.385)

                = 6.77 ft

The diameter of the cylinderi is 6.77ft

Volume of a cylinder

the formula for calculating thevolume of a cylinder is given as

V = pi d²/4 × h

Given the following

V = 900ft³

h = 25ft

Substitute the given parameters

900 = 3.14 × d²/4 × 25

900 = 19.625d²

d² = 45.859

d = 6.77ft

Hence the diameter of the cylinderi is 6.77ft

learn more on cylinder here: https://brainly.com/question/23935577

Si tuvieras que formar un cuadrado de 196 baldosas cuadradas iguales, ¿Cuantas deberías poner en cada fila?​

Answers

Answer:

Respuesta. entonces como respuesta deben colocarse 14 filas por 14 columnas de baldosas para que quede un cuadrado. SALUDOS!

Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10 What fraction of the money does Ben get?

Answers

there are 6+9+10=25 equal parts, so Ben has 9/25 of the total.

choose the bast description for the real number 34/3

Answers

Step-by-step Answer:

C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.  

What is the ratio for sin A?


3/4
3/5
4/5
4/3

Answers

4/5. I was doing math assignments like this earlier and remember how to do this. If you need more help on this let me know.

please answer fast! calculate the value of x. C is center of the circle. (attached image)

Answers

53? I think sorry if not

CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help

Answers

Answer:

Hey!

The X Value is 3, while the Y value is 6. In other words, it looks like this:

3, 6

Step-by-step explanation:

Hey!

The X Value is 3, while the Y value is 6. In other words, it looks like this:

3, 6

Answer:

(0.5,1.5)

Step-by-step explanation:

If r varies inversely as t and t= -6 when t =2, find r when t =-7.
plz give answer with steps

Answers

There was a little error in  t= -6 when "t"=2, I think you meant when   "r"= 2 when t =-6 so i corrected it before solving.

Answer:r= 7/3

Step-by-step explanation:

Step 1

r varies inversely as t  ,written mathematically can be expressed as

r ∝ 1/t

Introducing the constant of proportionality. K we have

r ∝ 1/t

r=Kt

Step 2

Now when r= 2 when t =-6, we have that

r=Kt

2 = K -6,

k=2/ -6= -1/3

Step 3

Find r when t  =-7

Using our equation,

r=Kt

r= -1/3 x-7

r= 7/3

Gary’s soccer team plays 12 games in a season. Each game is 45 minutes long. His older brother, Hector, plays the same number of games, but each of his games lasts twice as long. How many minutes does Hector’s team play each season? Write and solve equations.

Answers

Answer:

1080 minutes

Step-by-step explanation:

12x45: garys team

45x2=90 : hector's team

12x90=1080

The answer is 1080 minutes. All you have to do is figure out the total amount of minutes of Gary’s soccer games and then multiply by two

pls pls help for math

Answers

Answer and Step-by-step explanation:

The answer would be D. 82%.

All we need to do is add together the amount that can swim.

We do this because all of the numbers added together equals 1, so the parts that are split off represent the percentages (in decimal form) of the total amount of people.

0.34 + 0.48 = 0.82.

Multiply by 100 and we get 82%.

#teamtrees #PAW (Plant And Water)

(X-2/3)^2+y^2 =36
What is its center?
What is its radius

Answers

Answer:

0(2/3; 0)

Step-by-step explanation:

Center (2/3 ; 0)
Radius 6

Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?

Answers

Answer:

30%

Step-by-step explanation:

Find the percent discount by dividing the change in the price by the original price:

(684 - 478.6) / 684

205.4 / 684

= 0.3

So, the percent discount was approximately 30%

find the standard deviation of: 141, 116, 117, 135, 126, 121

Answers

Answer:

Please see photos for simplified result

Step-by-step explanation:

One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?​

Answers

Given:

One diagonal of the kite is three times as long as the other diagonal.

The area of the kite is 48 square meters.

To find:

The length of each diagonal.

Solution:

We know that, the area of the kite is:

[tex]A=\dfrac{d_1d_2}{2}[/tex]

Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.

It is given that, one diagonal of the kite is three times as long as the other diagonal.

Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:

[tex]A=\dfrac{3d_2d_2}{2}[/tex]

[tex]A=\dfrac{3d_2^2}{2}[/tex]

The area of the kite is 48 square meters.

[tex]\dfrac{3d_2^2}{2}=48[/tex]

[tex]3d_2^2=2(48)[/tex]

[tex]d_2^2=\dfrac{96}{3}[/tex]

[tex]d_2^2=32[/tex]

Taking square root on both sides, we get

[tex]d_2=\sqrt{32}[/tex]       [It is only positive because side length cannot be negative]

[tex]d_2=4\sqrt{2}[/tex]

Now,

[tex]d_1=3d_2[/tex]

[tex]d_1=3(4\sqrt{2})[/tex]

[tex]d_1=12\sqrt{2}[/tex]

Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.

19. Find the value of:
4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°​

Answers

9514 1404 393

Answer:

  107/18

Step-by-step explanation:

Your calculator and/or knowledge of trig function values can help you evaluate this.

  = 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)

  = 4/9 +3/4 -9/4 +9 -2

  = 107/18

___

tan(30°) = 1/√3

tan(45°) = 1

tan(60°) = √3

sin(60°) = cos(30°) = √3/2

No links, brainliest for correct answer

Answers

Answer:

Claire's Claim is WRONG. that is not a right triangle. A right triangle has one right angle, which is a line that goes straight up and staright horizontal. APQ does not have that.

Step-by-step explanation:

BRAINLIEST PLZ

tyty

Kaavya

Huilan's age is two times Thomas's age. The sum of their ages is 21 . What is Thomas's age?

Answers

Answer:

Thomas age is 7

Step-by-step explanation:

X + 2x =21

3x=21

x=7

Please answer the question correctly

Answers

Answer: The answer is 16

Step-by-step explanation: You divide the whole line segment by two to get only the half of the line segement.

simplify the expression below. (x^25)^-5/(x^-3)^48​

Answers

Okay so I need to have at least 20 characters to share my answer but I got x^19

pls help me i only have a few mins to answer this question, thank you!

Answers

Answer:

A

Step-by-step explanation:

since it passes the origin then there is no y intercept, so no plus anything. And the line is going down so its a negative.

a.
8. Sarah has a garden that is 4 feet by 3 feet. What is the perimeter of Sarah's garden?
16 feet
b. 7 feet
c. 14 feet
d. 9 feet

Answers

c. 14 feet because 4+4+3+3 equals 14

I can really use this help please

Answers

Answer:

1. 60 2. 120

Step-by-step explanation:

plz give brailiest

Answer:

1. 60

2. 120

Step-by-step explanation:

the opposite angle is 60

180 - 60 = 120

Place the numbers 40 and 100 into the proportion. (Whole)(percents) ----------- (Part) what goes where?

Answers

Answer:

Step-by-step explanation:

Hard to tell how the question should read.

40/100 = 40%

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Proportion means writing in fraction form as numerator and denominator.

40/100 = 40%

The proportion of 40 and 100 is 40%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have.

40 and 100.

Proportion means writing in fraction form as numerator and denominator.

So,

If we write 40/100 we get 40%.

This means 40 out of 100.

Thus,

40/100 = 40%

The proportion of 40 and 100 is 40%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ5

He dimensions are tripled. The new surface area would be times larger than the original surface area.

Answers

Answer:

The new surface area would be 9 times larger than the original surface area.

Step-by-step explanation:

Here we do not know what was the original shape, but we will see that it does not matter.

Let's start with a square of side length L.

The original area of this square will be:

A = L^2

Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L

Then the new area of the square is:

A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A

So the new surface area is 9 times the original one.

Now, if the figure was a circle instead of a square?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

Now if the dimensions of the circle are tripled, the new radius will be 3*R

Then the new area of the circle is:

A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A

Again, the new area is 9 times the original one.

If the figure is a triangle?

We know that for a triangle of base B and height H, the area is:

A = B*H/2

If we triple each measure, we will have a base 3*B and a height 3*H

Then the new area is:

A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A

Again, the new area is 9 times the original area.

So we can conclude that for any shape, the new area will be 9 times the original area.

A gift box has dimensions of: 8 1 2 inches, 5 1 2 inches, and 2 1 2 inches, respectively. how many cubes with side lengths of 1 2 inches would be needed to fill the gift box?

Answers

Number of 1/2-inch cubes length-wise = 8 1/2 ÷ 1/2 = 17

Number of 1/2-inch cubes width-wise = 5 1/2 ÷ 1/2 = 11

Number of 1/2-inch cubes height-wise = 2 1/2 ÷ 1/2 = 5

Number of 1/2-inch cubes = 17 x 11 x 5 = 935

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

Answer: 935 1/2-inch cubes are needed.

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

Help me please! I need to get this done to go outside :(​

Answers

Answer:

98ft.

Step-by-step explanation:

Question is asking for the total square feet of laminate wood to cover the entire retail store. Add all the sides together to get your answer.

what is 984 times 483

Answers

Answer:

475272 will be your answer.

Step-by-step explanation:

just multiply.

Answer:

475272

Step-by-step explanation:

Brainliest?

Is x+y is an algebraic expression?

1. Yes
2. No
3. Cannot be identified
4. None of these

I will mark the brainiest for the correct answer!!

Answers

yes it is an algebraic expression mark me brainliest
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