What two numbers multiply to -40 and add to 10

Answers

Answer 1

Answer:

5 + sqrt(65), 5 - sqrt(65)

Step-by-step explanation:

x + y = 10

x×y = -40

so, two equations with 2 variables. using one equation to express one variable by the second. and then using the second equation to solve and calculate the second variable. and then by knowing the second variable we calculate the first.

=> x = 10 - y

=> (10-y)×y = -40

=> -1×(10-y)×y = 40

=> (y-10)×y = 40

=> y^2 - 10×y - 40 = 0

remember the solution for a quadratic equation

a×x^2 + b×x + c

is

x = (-b ± sqrt(b^2 - 4×a×c)/(2×a)

in our case

a = 1

b = -10

c = -40

and we used "y".

so,

y = (--10 ± sqrt((-10)^2 - 4×1×(-40))/(2×1) =

= (10 ± sqrt(100 + 160))/2 = (10 ± sqrt(260))/2 =

= (10 ± sqrt (4×65))/2 = 10/2 ± 2×sqrt(65)/2 =

= 5 ± sqrt(65)

=>

for y = 5 + sqrt(65), x = 10 - 5 - sqrt(65) = 5 - sqrt(65)

for y = 5 - sqrt(65), x = 10 - 5 + sqrt(65) = 5 + sqrt(65)


Related Questions

Tell me if its a function or not plz help its due today am giving brainliest ppppppppppllllllzzzzzz

Answers

Answer:

#5 is a function, #6 is not a function

Step-by-step explanation:

PLEASE QUICK I ONLY HAVE 11 MINS I NEED THIS ONE QUICK!

WILL GIVE BRAINLY

Answers

Answer:

the answer is 7 feet

2πr/2π=14π/2π

r=7 feet

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

5x=0

X=0 only one solution

Answer:

5x=0

x= 0 anly solution. helpful answer

A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles

Answers

Complete Question

A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles

To the nearest hundredth of a mile, how high does the highway rise in this

*mile section?

Answer:

[tex]h=0.84miles[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta = 6 \textdegree[/tex]

Horizontal distance traveled [tex]d=8miles[/tex]

Generally the Trigonometric equation for Height  is mathematically given by

[tex]Tan \theta=\frac{h}{5}[/tex]

[tex]h=8*tan(6)[/tex]

[tex]h=0.84miles[/tex]

Please help me with this one

Answers

Answer:

19.1 cm

Step-by-step explanation:

the other side = √8.1²-7.1²=√65.61- 50.41

= √15.20 = 3.9

perimeter = 7.1+8.1+3.9= 19.1 cm

I need help plzzzzzzzzzzz

Answers

Answer:

D. infinite

Step-by-step explanation:

The answer is infinite

what is the missing exponent?

17 / 17^4 = 17^8​

Answers

Answer:

The missing exponent is 12.

Step-by-step explanation:

Whenever you divide same-base exponents, you keep the base numbers the same and subtract the exponents.

The only number subtracted by 4 that would give you 8 is 12.

Or, if the numbers are larger, it is must easier to add the exponent in the answer to the number in the equation.

For example,

[tex]17^4+17^8=17^1^2[/tex]

Therefore, the missing exponent is 12.

Because:  [tex]17^1^2/17^4=17^8[/tex]

Sara makes some Blue paint. She mixes yellow, red and brown in the ratio 4: 6: 9. He uses 340 ml of the yellow paint. How much Blue paint does he make?

Answers

Answer:

1615

Step-by-step explanation:

the equation that represents the amount of yellow paint used =

(ratio of yellow paint / sum of ratios) x p = 340

p = blue paint

4 / 19 x p = 340

p = 1615

can some one explain please​

Answers

what kind of question is this lol ? i don’t even understand it

In the 2004 Summer Olympics, Adam van Koeverden of Oakville, Ontario, won two medals. He won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s. He also won the bronze medal in the 1000 m race, with a time of 3 min 28.2 s. In which race did he row with greater speed?

Answers

Answer: 500 meters

Step-by-step explanation:

Since he won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s, the speed will be:

= Distance/Time

= 500m/1 min 37.9s

= 500m/97.9s

= 5.11m/s

Since he also won the bronze medal in the 1000 m race, with a time of 3 min 28.2s, the speed will be:

= Distance/Time

= 1000/3 min 28.2s

= 1000m/208.2s

= 4.80m/s

Therefore, he rowed with greater speed in the 500 meters.

Note that 60seconds = 1 minute

Completing the
Rewrite the equation by completing the square.
x^2-14x+33=0

Answers

Answer:

11,3

Step-by-step explanation:

Answer:

It is -7 and 16

Step-by-step explanation:

Khan

Anyone thats smart ash amosc rvcklessray and Ill $$$ you please

Answers

I'm not sure if this is fully in English or not ><

sorry I cant help:3

covery
Tissues
The volume of
the figure is
cubic inches.
Tissues
2 in.
Tissues
3 in.
6 in.
PLEASE

Answers

Answer:

[tex]V=108~in^3[/tex]

»»---------¤-----------««

[tex]l=6in\\\\w=3in\\\\h=2*3=6in[/tex]

∴[tex]Volume=l*w*h[/tex]

[tex]6*3*6=[/tex][tex]108 ~in^3[/tex] ✔︎

•·················•·················•

hope it helps....

have a great day!!

Pls solve this ill give you brainiest

Answers

Answer:

-2

Step-by-step explanation:

by testing

Mhanifa please help asap! I need this done and i dont get it

Answers

To answer you use the Pythagorean theorem, a^2+b^2=c^2

10. C= 5
11. B= 2 V55 (2 square root of 55)
12. C= 2 V5
13. A= V5.39

Explanation:

10. a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2 (add 9 and 16)
25=c^2
V25= Vc^2 (take the square root of both sides to get):
5=c

11. 6^2+b^2=16^2
36+b^2=256 (256-36)
b^2=220 (square root, 220 cannot be simplified so you factor it and get):
b= 2 V55

12. 4^2+2^2=c^2
16+4=c^2
20=c^2 ( square root it then factor)
2 V5 = c

13. a^2+3.5^2=4.2^2
a^2+12.25=17.64 (subtract 17.64 and 12.25)
a^2=5.39 ( square root/ cannot be simplified so the square root of 5.39 is your answer)


I hope this helped you understand! I hope you have a good day!

Answer:

Use Pythagorean to find the missing side lengths.It assumed a and b are legs and c is the hypotenuse.All numbers are rounded to the nearest tenth.

#10

[tex]c = \sqrt{3^2+4^2} = \sqrt{25} = 5[/tex]

#11

[tex]b = \sqrt{16^2-6^2} = \sqrt{220} = 14.8[/tex]

#12

[tex]c = \sqrt{4^2+2^2} = \sqrt{20} = 4.5[/tex]

#13

[tex]a = \sqrt{4.2^2-3.5^2} = \sqrt{5.39} = 2.3[/tex]

A tree that is 12 feet tall casts a shadow that is 9 feet long. At the same time a nearby stop sign casts a shadow that is 6 feet long. What is the height, h , of the stop sign?

A. 4.5 ft

B. 7.3 ft

C. 8 ft

D. 9 ft

Answers

Answer:

height / shadow = height / shadow until sun moves or earth tilts

12/9 = h / 6

h = 6*12 /9 = (3*2*3*4 ) / (3*3) = 2 * 4 = 8

So C. 8ft

I think the answer is A 4.5ft

HELP ILL GIVE BRAINLIEST

Answers

Answer:

Option 'a' is the correct answer.

confused on how to read the diagram for the questions.. ​

Answers

Answer:

mode in class 8A = 157 cm

mode in class 8B = 176 cm

median in class 8B = 165 cm

range in class 8A = 173-148= 25 cm

• many students class 8A are taller than class 8B

• the tallest student is in class 8B

Help meee please I need help

Answers

Answer:

A

Step-by-step explanation:

[tex]d^2+16^2=25^2\\d^2+256=625\\d^2=368\\d=19.2[/tex]

Answer:

The answer is D. 47 meters.

The side lengths of a triangle are 5, 12, and 13, is this a right triangle?

Answers

Answer:

D.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Choose D.......


It takes exactly 26 paper clips laid end to end to make 17 7/8 inches. How long is each paper clip? (I really need the explanation)

Answers

Answer:

11/16 inch or 0.6875 inch

Step-by-step explanation:

26 * x = 17 7/8

17 7/8 = 143/8

143/8 ÷ 26 = 143/8 x 1/26 = 143/208 = 0.6875

0.6875 in = 11/16 in

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Check

11/16 x 26 = 17.875 or 17 7/8

Can someone please help with this ASAP!!

Answers

Answer:

Area of 2 triangle = 1/2* base*height

= 1/2*21*20= 21*10= 210 cm ^2= 2*210= 420 cm^2

Step-by-step explanation:


What is the appropriate equation used to find the value of n?

Answers

Answer:

B

Step-by-step explanation:

It's B, because it's the only way to find n on both sides

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

angle measures to the.

Step-by-step explanation:

I don't know if it is a choice but if you not do measure and multiply If my answer is wrong. Hope not.

There are 30 people entered into a contest. How many ways can the contestants win first, second, third, and fourth place?​

Answers

Answer:

I am not entirely sure so don't kill me if it's wrong qwq

Step-by-step explanation:

Well assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded.

P = n!

    (n−r)!

P=30! /

     (30-4)!

P=30!/26!

P=657720

   

   

heyy! i’ll give brainliest please help

Answers

Answer:

they held yearly elections so I would say democracy but I'm not 100% sure

find the common difference of the arithmetic sequence -2, -11/4, -7/2

Answers

Answer = 3/4

First, change them all into like fractions.

-2, -11/4, -7/2 = -8/4, -11/4, -14/4

Therefore the common difference of their arithmetic sequence is 3/4

Hope it helps u.

Please mark the brainliest

Thank You

Andre sells T-shirts. He charges
customers $19 per T-shirt, plus a delivery
fee of $8 per order. The amount, y, that
Andre charges for an order of x T-shirts is
represented by the equation y = 19x + 8. A
customer paid $217 for an order of
T-shirts. How many T-shirts did the
customer order?

Answers

Answer:

11

Step-by-step explanation:

217 = 19x + 8

209 = 19x

x = 209/19

x = 11

Please help!!! How do I do this? What is X and how do I find it?

Answers

Answer:

[tex]x = 6 \sqrt{3} [/tex]

Step-by-step explanation:

[tex]x = \sqrt{ {12 }^{2} - {6}^{2} } = 6 \sqrt{3} [/tex]

Milan brought 18 packs of cola to a party, and each pack had 8 cans. Donna brought 9 cans of juice. How many cans did they bring in all?
cans

Answers

Answer:

I think its 72 cans

Tell me if I'm wrong!

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