One integer is 10 more than another, Their sum is 4. What are the 2 integers? PLEASE HELP!

Answers

Answer 1

Answer:

The two integers are : -3 , 7

Step-by-step explanation:

Let the integers be x and y

Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)

Also Given sum of integers . x + y = 4 ----------- (2)

Substitute ( 1 ) in (2)

x + y = 4

(y + 10) + y = 4

y + 10 + y = 4

2y + 10 = 4

2y = 4 - 10

2y = -6

y = -3

Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7


Related Questions

Need help please. Giving 15 points for answering correct!!

Answers

Answer:

the first one

Step-by-step explanation:

how do u solve -2x=-26​

Answers

Answer:

x=-14

Step-by-step explanation:

because -2(-14)=-26

You divide each number by -2
-2x=-26
-2 -2

^like this Next You simplify
-26/-2

Answer is: x= 13

I hope this helps c:

what is the √n^3 in simplest radical form?

Answers

Answer:

Surds. Note: a root we can't simplify further is called a Surd. So √3 is a surd.

Use the perfect square trinomial identity to write this expression in factored form:
x2 + 10x + 25.

Answers

X^2 + 10x + 25
(X + 5)^2

Answer:

[tex] {x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2} [/tex]

what is the 66th term in the following arithmetic sequence
-93, -85, -78, -71

Answers

Answer:

d=  a2- a1

hence d= -85-(-93) = -85+93 = 8

a1= -93

d= 8

n=66

hence a66=a1+(n-1)d

a66= -93+ 65(8)

=-93+520

=427

66th term=427

pls mark as brainliest

help me with my last question for 30 to 100 points if correct

Answers

Answer

Ok i will help

Step-by-step explanation:

Yay!

The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. ​the surface area of the sphere

A. equal to
B. less than
C. greater than

Answers

I’m pretty sure the answer is A - equal to

what is the area of the figure below​

Answers

Answer:

58cm2

Step-by-step explanation:

put it in section and them slove

so area of triangle = b×h÷2= 6×3/2=9cm2

area of terpizium = 5(4+6)/2=25cm2

area of triangle = 8×6÷2=20cm2

add all these together You get 58cm2

hope this helps :)

Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

Answers

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].

All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].

When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

[tex]3x^2+5x=-1[/tex]

We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:

[tex]3x^2+5x+1=0[/tex]

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

Maggie started collecting teacups on her 13th birthday when she was given 4 teacups. She has purchased a new teacup every month since then. How many teacups will she
have on her 17th birthday?

A.52
B.64
C.38
D.48

Answers

Answer:

A. 52

Step-by-step explanation:

Find how many months are in 4 years, since there are 4 years between her 13th and 17th birthdays.

There are 12 months in a year, so multiply 12 by 4:

12(4)

= 48

So, there are 48 months in 4 years. Since she buys a new teacup every month, this means she will have bought 48 more teacups.

Add this to the 4 teacups she got on her 13th birthday:

48 + 4

= 52

So, on her 17th birthday, she will have A. 52 teacups

Find the y-coordinates of points on the line y = −0.5x that have x-coordinates of 6[tex]coordinates[/tex]

Answers

Answer:

y = -3

Step-by-step explanation:

y = -0.5(6)

y = -3

Simplify (6x^2 − 8x) ÷ (2x) step by step
a. 2x − 3
b. 2x + 3
c. 3x − 4
d. 3x − 8

Answers

Answer:

3x - 4

Step-by-step explanation:

(6x^2 − 8x) ÷ (2x) =

(6x^2)/2x - 8x/2x =                 

3x - 4

Answer:

(C). 3x - 4

Step-by-step explanation:

It will be easily to break this down so,

6/2=3

x^2/x=x

therefore, 6x^2/2x = 3x

Minus stay minus

8/2 = 4

x/x=1

therefore, 8x/2x=4

If we put it all together,

3x - 4

if this helps you, please give brainliest!

What is the volume of a rectangular prism with a length of 5 cm, width of 4cm, and height of
9cm?

Answers

Answer:

180cm^3

Step-by-step explanation:

All you have to do is multiply everything together to get the volume. l x w x h

Answer:

The answer is 180 cubic centimeters.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).

Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.

The equation of a circle in general form is ​x2+y2+20x+12y+15=0​ .




What is the equation of the circle in standard form?
Will award brainliest!

Answers

Answer:

[tex](x +10)^2 + (y+6)^2 = 121[/tex]

Step-by-step explanation:

Given equation :

                        [tex]x^2 + y^2 + 20x +12y + 15 = 0[/tex]

Standard equation of circle :

                                            [tex](x - a)^2 + (y-b)^2 = r^2[/tex]

We will consider the x terms in the equation first to find a.

[tex](x-a)^2 = x^2 - 2ax + a^2[/tex]

-2ax = 20x

a = -20x/2x = -10

a = -10

Next consider the y terms to find b.

[tex](y - b)^2 = y^2 -2by + b^2[/tex]

-2by = 12y

b = -12y /2y = -6

b = -6

[tex](x+10)^2 + (y-6)^2 = x^2 +20x +100 + y^2 +12y + 36[/tex]

                             [tex]=x^2 + y^2 + 20x +12y + 136\\[/tex]

But the given equation constant is 15. So find the difference between 136 and 15 to find the radius : 136 - 15 = 121

Therefore, radius = √121 = 11

Equation in standard form :

                                         [tex](x +10)^2 + (y+6)^2 = 121[/tex]

Please help me on this question.

Answers

Answer:

This is the ans i think this is right

Will rank brainliest!!

Answers

Answer: 46 degrees

Explanation: Subtract 32 degrees from 78 degrees and you will get your answer.

Answer:

x=46 degree

Step-by-step explanation:

32 +x=Angle ABC

32 + x =78 degree

x=78 - 32

x=46 degree

20% of j is 12 what is j

Answers

Answer:

60

Step-by-step explanation:

20/100 * j = 12

j = 12 * 100/20

j = 60

the Angle opposite The OPP is​

Answers

Answer:

Theta

Step-by-step explanation:

Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side

In the month of agust, joes snack shack sold 400 sandwiches. If 40% of them were made with chicken, how many chicken sandwiches were sold?

Answers

Answer: 160 chicken sandwiches were sold.

To convert a percentage into a decimal, move the decimal two places back.

40%=0.40, or 0.4

This means that 0.4 is still equivalent to 40%

Remember that "of" means multiplication.

So 0.4*400=160

160 chicken sandwiches were sold

Can someone please help

Answers

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm   and i Oop

Step-by-step explanation:

26. Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. 27. Given that tanθ ≈ -1.559 where 3π2<θ<2π , find the values of sinθ and cosθ.

Answers

Answer:

a. i. sinθ = +0.941

ii. cosθ = +0.339

b. i. sinθ = -0.842

ii.  cosθ = +0.540

Step-by-step explanation:

a. Given that tanθ almost equal to≈ 2.773 where 0<θ<π/2, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = 2.773, cotθ = 1/tanθ = 1/2.773 = 0.3606

So, 1 + cot²θ = cosec²θ

1 + (0.3606)² = cosec²θ

1 + 0.13 = cosec²θ

1.13 = cosec²θ

cosec²θ = 1.13

cosecθ = ±√1.13

cosecθ = ±1.063

1/sinθ = ±1.063

sinθ = ±1/1.063

sinθ = ±0.9407

sinθ ≅ ±0.941

Since we have 0<θ<π/2, sinθ is in the first quadrant, so we choose the positive value.

So, sinθ = +0.941 where 0<θ<π/2

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = 2.773,

So, 1 + tan²θ = sec²θ

1 + (2.773)² = sec²θ

1 + 7.6895 = sec²θ

8.6895 = sec²θ

sec²θ = 8.6895

secθ = ±√8.6895

secθ = ±2.9478

1/cosθ = ±2.9478

cosθ = ±1/2.9478

cosθ = ±0.3392

cosθ ≈ ±0.339

Since we have 0<θ<π/2, cosθ is in the first quadrant, so we choose the positive value.

So, cosθ = +0.339 where 0<θ<π/2

b. Given that tanθ ≈ -1.559 where 3π/2<θ<2π, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = -1.559, cotθ = 1/tanθ = 1/-1.559 = -0.6414

So, 1 + cot²θ = cosec²θ

1 + (-0.6414)² = cosec²θ

1 + 0.4114 = cosec²θ

1.4114 = cosec²θ

cosec²θ = 1.4114

cosecθ = ±√1.4114

cosecθ = ±1.1880

1/sinθ = ±1.1880

sinθ = ±1/1.1880

sinθ = ±0.8417

sinθ ≈ ±0.842

Since we have 3π/2<θ<2π, sinθ is in the fourth quadrant, so we choose the negative value.

So, sinθ = -0.842 where 3π/2<θ<2π

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = -1.559,

So, 1 + tan²θ = sec²θ

1 + (-1.559)² = sec²θ

1 + 2.4305 = sec²θ

3.4305 = sec²θ

sec²θ = 3.4305

secθ = ±√3.4305

secθ = ±1.8522

1/cosθ = ±1.8522

cosθ = ±1/1.8522

cosθ = ±0.5399

cosθ ≈ ±0.540

Since we have 3π/2<θ<2π, cosθ is in the fourth quadrant, so we choose the positive value.

So, cosθ = +0.540 where 3π/2<θ<2π

synthetic division problem... pls help asap

Answers

The answer is 54

Explanation:

Select the correct answer.
Joseph plots the speed of his car and time on a scatter plot. The equation for the line of best fit on his scatter plot is y = -15x + 60, where x is the time in hours and y is the speed in miles/hour. Which statement describes the situation correctly?
A.
The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
B.
The initial speed is 60 miles/hour, and his speed increases by 15 miles/hour every hour.
C.
The initial speed is 0 miles/hour, and his speed increases by 15 miles/hour every hour.
D.
The initial speed is 5 miles/hour, and his speed increases by 30 miles/hour every hour.

Answers

Answer:

its be without a doubt

Step-by-step explanation:

this is timed and I just need to see if i’m right! please check my work :)

Answers

hi! actually, the y intercept is 0, 8. hopefully this helps

If x-y = b which statement is right b - y = x, X x Y = b2, b = x - y or b = y x X (this is a question to see if the site works, I know the answer)

Answers

Answer:

b = x - y

Step-by-step explanation:

Given the expression x - y = b

We are to rewrite the value of b;

We can simply do this by swapping both sides that are putting b at the Left hand side and x - y at the right as shown

b = x - y

Hence the correct expression will be b = x - y

What inverse operation should be used to isolate the variable in the equation c ÷ 7 = 2?

Answers

C/7 = 2. C= 7 x 2 C = 14

What is the slope of the line? Khan academy 15 points

Answers

Answer:

m = -8/5

Step-by-step explanation:

First determine how much x changes as we go from the first point to the second:  -1 to +4.  This change (the 'run') is 5 units.

Then find the change in y:  -4 - (4) = -8.  This change (the 'rise') is -8.

Thus the slope m = rise / run is m = -8/5

please please HELP me! this is due tonight

explaining your answer = brainliest/five star rating

the peremiter is 15 cm. c = ___ cm?

Answers

Answer:

4

Step-by-step explanation:

the perimeter is the the total length of the shape. we already know that the two sides is 8, and 3 cm. we also know that the perimeter is 15cm. 8+3 is 11 so we need to figure out the remaining length of the side. 15-11 is 4 so the missing length, c, is 4 cm.


Match each product of powers with its simplified expression

Answers

5-³ × 5-³

= 5-³ -³

= 5-⁶

= 1/5

5⁷ × 5³

= 5⁷+³

= 5¹⁰

5⁶×5 -⁴

= 5⁶ - ⁴

=

5-⁴×5⁴×5⁰

= 5-⁴ + ⁴ × 1

= 5⁰

Answer:

answser  in picturew

Step-by-step explanation:

(I NEED HELP ASAP) In a class, there are 25 boys and 15 girls. If a student is selected at random, what is the probability that the student is a boy?


15/25
3/8
25/15
5/8​

Answers

Answer: 3rd

Answer: 3rd

25/15

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