The sum of two integers is 2. Their difference is 10. What are the two integers?

Answers

Answer 1

Answer:

6 and -4

Step-by-step explanation:

a + b = 2

a - b = 10

Solve:

from the first eq.

a = 2 - b

replacing this value in the second eq.

(2-b) - b = 10

2 - 2b = 10

-2b = 10 - 2

-2b = 8

b = 8/-2

b = -4

from the second eq.

a - b = 10

a - (-4) = 10

a  + 4 = 10

a = 10 - 4

a = 6

Check:

from the first eq.

6 + (-4) = 2

6 - 4 = 2


Related Questions

Rewrite the linear equation 2x = 13y – 9 in slope-intercept form

Answers

Answer:

[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]

Step-by-step explanation:

we need to write it in the form y = mx + c where m is the slope(gradient) and y is the y intercept

1) add 9 to both sides

2x = 13y - 9

2x + 9 = 13y

2)divide 13 on both sides

2x + 9 = 13y

2/13x + 9/13 = y

final equation is

[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]

what is 3/4 doubled as a fraction

Answers

Answer:

1 2/4.....1 1/2...........6/4

Step-by-step explanation:

add two 3/4.

1 2/4.

It is either 1 1/2, or 6/8. Not enough context is given to decide which, you should be able to figure it out though.

i need help as u can tell all the erasing

Answers

Answer:

x=10

Step-by-step explanation:

We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as

6x=5x+10      Then, subtract 5x from both sides

x=10

I'm assuming this is what the question is asking

A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 36 gallons
of water. Which table represents the relationship between the number of minutes and
the number of gallons of water in the pool?
А
B
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
4.
1
1
4
8
2
2
8
12
3
3
12
с
D
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
1
9
9
1
2
18
18
2
3
27
27
3

Answers

Answer:

C

Step-by-step explanation:

36 gallons ÷ 4 minutes = 9 per minute

simplify the expression
3( 2x - 4) -1n

pls hurry

Answers

Answer:

(3)(2x) + 3 (-4) + - 1n

6x + -12 + - n

Answer -n + 6x - 12

Bu sorunu nasil olur?
how can i solve this problem?

Answers

Answer:

i can't see your handwriting

What is the sum of the following
(k – 4) and (k + 3)

Please fast needed

Answers

Answer:

2k-1

Step-by-step explanation:

(k-4)+(k+3)

k+k=2k

-4+3=-1

Answer:

2k-1

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

The image of a point k(-3,4) under a translation 5/2 is

Answers

Answer:

try to use automath, it really helps

Community Involvement Claim: Three-fourths of all adults believe that it is important to be involved
in their communities. Based on a USa Today/Gallup poll of 1021 randomly selected adults, 89%
believe that it is important to be involved in their communities. find the value of the test statistic.

Answers

Using the z-distribution, it is found that the value of the test statistic is z = 10.33.

At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:

[tex]H_0: p = 0.75[/tex]

At the alternative hypothesis, it is tested if the proportion is different, that is:

[tex]H_1: p \neq 0.75[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]

Hence:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]

[tex]z = 10.33[/tex]

A similar problem is given at https://brainly.com/question/24330815

Please y'all I need help

Answers

Answer:

c

Step-by-step explanation:

I think I c cause one of the coordinates is in -4 and the other one is bw 10 and 8 :)

Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?

Answers

Answer:

y > 3x - 4

Step-by-step explanation:

lmk if you want an explanation

I do believe i need help.

Answers

Answer:

A

Step-by-step explanation:

Can't have 0 in the denominator

Find the area of the figure.

Answers

Answer:

780ft²

Step-by-step explanation:

I'd cut that lower part off into a separate section, and then its width would be the difference of 40 and 30, and its height the difference of 24 and 18. Then, with just 2 rectangles, you can easily calculate the area of each and add them up.

[tex]40-30=10\\24-18=6[/tex]

The lower rectangle is 10' × 6'.

Upper rectangle:

[tex]40\times18=720[/tex]

Lower rectangle

[tex]10\times6=60[/tex]

Add them up:

[tex]720+60=780[/tex]

780ft²

I agree with the person above me it’s 780ft

What is the range of y=3sin(x)?

Answers

Answer:

The range is -3≤y≤3 - 3≤y≤3.

Step-by-step explanation:

I hope this helps! :)

Estimate the line of best fit using two points on the line.

Answers

Answer:   i think it's b

Answer:

C.

Step-by-step explanation:

A and D are immediately wrong since the line is increasing.

Using the formula of rise over run, we can find the slope. We then use 40 as the rise and 5 as the run

40/5 is 8.

We can now put 8 as the slope in the y=mx+b equation. We can see the line intersect at 20 at the y-axis, which makes 20 the y-intercept. We can now insert that into the b part of the equation. This leaves us with y=8x+20.

Your favorite team jersey is on sale for $32 this is a 36% discount what was the original price of the jersey.

Answers

I had gotten 52.48

thats what I used to figure out the answer

true or false 3 x 10^4 is 5 times as much as 6 x 10^3

Answers

Answer:

True

Step-by-step explanation:

1. To find if this statement is true or false, we first have to evaluate the value of these numbers.

[tex]3 * 10^4 = 3 * 10 * 10 * 10 * 10 = 30 * 10 * 10 * 10 = 300 * 10 * 10 = 3000 * 10 = 30000[/tex] [tex]6 * 10^3 = 6 * 10 * 10 * 10 = 60 * 10 * 10 = 600 * 10 = 6000[/tex]

2. Next, we divide 30,000 by 6,000. If our quotient is 5, then this is true.

[tex]30,000/6,000[/tex] [tex]5[/tex]

Therefore, this is true.

Plxzzz plzzzzzznhelp meeee

Answers

Answer: A. An infinite number of diameters can be drawn in a circle.

Step-by-step explanation:

There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.

I got it from Goog|e, I hope it helps.

Answer:

"Only a limited number of radii can be drawn in a circle"

Step-by-step explanation:

A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.

Please help me asap

tyyyyyyy :D

Answers

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

[tex]\sf 6x+4y-2x[/tex]

Answers

Not sure what form you want this in:

Simplified this is 4x+4y

Factorised this is 4(x+y)

Answer:

4(x + y)

Step-by-step explanation:

6x + 4y - 2x

6x - 2x + 4y

4x + 4y

Taking 4 as common

4(x + y)

*PLEASE HELP*

If f(x)= 4x^2
+3 , find
f(0)

f(-2)

Answers

Answer:

f(0) =  3

f(-2) = 19

Step-by-step explanation:

f(x)= 4x^2 +3

1)   f(x) = 4x^2 +3

    f(0) = 4(0)^2 +3

    f(0) =               3

2)   f(x) = 4x^2 +3

      f(-2) = 4(-2)^2 +3

      f(-2) = 4(4) +3

       f(-2) = 19

If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7. 5 feet feet feet 30 feet.

Answers

The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.

Given :

The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

The following steps can be used in order to determine the length of the hypotenuse:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.

Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

Step 3 - So, the length of the hypotenuse is calculated as:

[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]

Step 4 - Simplify the above expression.

[tex]H =30\;{\rm ft}[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

brainly.com/question/21149612

Answer:

d

Step-by-step explanation:



its graphing linear inequalities
if u can help that would be nice

Answers

it is y>_ 5/3x+3 that’s the answer

Answer:

y>_ 5/3x+3 is the answer.

Step-by-step explanation:

You buy a sweater that is on sale for 20% off of the original price. The sweater cost $28. What was the original price?

Answers

Answer:

The original price was $50.

Step-by-step explanation:

Your sweater now cost $28 after 20% off.

To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.

$28/.80 = $35.

Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.

$35/.70 = $50

What is the correct answer?

Answers

Answer:

tan(w)=opp/adj

tan(w)=12/5

=2.4

=3 ........ rownd

We know

[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]

Now

[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]

[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]

[tex]\\ \sf\longmapsto tanW=2.4[/tex]

Which numbers is divisible by 5,10 and 15.

A) 15
B) 20
C) 21
D) 34

Answers

i’m pretty sure it’s 20
We have first find out the factors of the numbers.Factors of 15 are 1, 3, 5, 15.Factors of 20 are 1, 2, 4, 5, 10, 20.Factors of 21 are 1, 3, 7, 21.Factors of 34 are 1, 2, 17, 34.Therefore, there are no numbers in the list, which are divisible by 5, 10 and 15.15 can be divisible by 5 and 15 not 10.20 can be divisible by 5 and 10 not 15.

Hope you could get an idea from here.

Doubt clarification - use comment section.

what percent increase is 1/3 to 1/6

Answers

Answer:

50% increase

Step-by-step explanation:

half of 6 is 3 thus 50%, and vise versa.

truncate 4087.2 to the tens

Answers

Answer:

  4080

Step-by-step explanation:

When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...

  4080

_____

When a number is truncated, there is no rounding.

4080 steps
Explanation:…

i'm so confused pls somebody help me

Answers

Answer:

(6x-8)+(3x)+x=180 - the equation that would be used to find x

Step-by-step explanation:

(6x-8)+(3x)+x=180

I´m not sure what the answer of the equation is but this is the equation. im sorry :(

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

3x + x + 6x - 8 = 180 , that is

10x - 8 = 180 ( add 8 to both sides )

10x = 188 ( divide both sides by 10 )

x = 18.8

3x = 3 × 18.8 = 56.4

6x - 8 = 6(18.8) - 8 = 112.8 - 8 = 104.8

Then the 3 angle measures are

18.8° , 56.4° , 104.8°

What power would you multiply 22 by to get an answer of 22,000? 10^3? 10^5 10^2 10^4 also i dont know how to use this app.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathbf{\boxed{\textsf{EQUATION }\rightarrow \mathbf{[?]}} \times 22 = 22,000}}[/tex]

[tex]\large\textbf{Lets solve the choices into the equation to see which}\\\large\textbf{one will fit with the answer (22,000)}[/tex]

[tex]\large\boxed{\boxed{\bf 10^3}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times10}\times\bf 22}\\\large\boxed{= \boxed{1\bf ,000}\times\bf 22}\\\large\boxed{= \bf 22,000}\\\\\\\\\large\boxed{\mathbf{22,000 = 22,000}}\\\large\text{Thus, this means Option A. could possibly be your answer.}[/tex]

[tex]\large\boxed{\boxed{\bf 10^5}\times\bf22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10\times10}\times\bf 22}\\\large\boxed{=\boxed{\bf 100\times100\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100,000}\times\bf 22}\\\large\boxed{ = \bf 2,200,000}\\\\\\\\\large\boxed{\bf 2,200,000 \neq 22,000}\\\large\text{Thus, this means Option B. isn't your answer}[/tex]

[tex]\large\boxed{\mathbf{\boxed{\mathbf{10^2}} \times 22}}\\\large\boxed{= \boxed{\bf 10\times10} \times \bf 22}\\\large\boxed{= \boxed{\bf 100}\times \bf 22}\\\large\boxed{\mathbf{= 2,200}}\\\\\\\\\large\boxed{\mathbf{2,220 \neq 22,000}}\\\large\text{Thus, this means Option C isn't your answer}[/tex]

[tex]\large\boxed{\boxed{\bf 10^4}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times100}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000}\times \bf 22}\\\large\boxed{= \bf 220,000}\\\\\\\\\large\boxed{\bf 220,000\neq 22,000}}\\\large\text{Thus, this means Option D. isn't your answer}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{10^3}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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