Answer:
Step-by-step explanation:
a=1
b=-2
c=1.5
d=-20
The difference of two positive integers is 5 and the sum of their squares is 433. Find their integers.
Answer:
12, 17
Step-by-step explanation:
Let the two positive integers be x and (5 + x).
According to the given description:
[tex] {x}^{2} + {(x + 5)}^{2} = 433 \\ {x}^{2} + {x}^{2} + 10x + 25 = 433 \\ \\ 2 {x}^{2} + 10x + 25 - 433 = 0 \\ \\ 2 {x}^{2} + 10x - 408 = 0 \\ \\ 2( {x}^{2} + 5x - 204) = 0 \\ \\ {x}^{2} + 5x - 204 = 0 \\ \\ {x}^{2} + 17x - 12x - 204 = 0 \\ \\ x(x + 17) - 12(x + 17) = 0 \\ \\ (x + 17)(x - 12) = 0 \\ \\ x + 17 = 0 \: or \: x - 12 = 0 \\ \\ x = - 17 \: or \: x = 12 \\ \\ \because \: x \: is \: a \: + ve \: integer \\ \\ \implies x \neq - 17 \\ \\ \therefore \: x = 12 \\ \\ 5 + x = 5 + 12 = 17 \\ [/tex]
Thus, the two positive integers are 12 and 17.
Answer:
12 and 17
Step-by-step explanation:
17 - 12 = 5, and 17^2 (289) + 12^2 (144) = 433
Hope this helps :D
What does -2 - 10 equal to?
In the figure, BC is a support for the roof
of a garage. What is the length of BC?
Answer:
Bc = √63 ft
Step-by-step explanation:
Here, we want to get the length of BC
As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side
So we want to get the third leg which is BC
we can use the Pythagoras’ theorem here
And that states that the square of the hypotenuse equals the sum of the squares of the two other sides
let the missing length be x
12^2 = x^2 + 9^2
144 = x^2 + 81
x^2 = 144-81
x^2 = 63
x = √63 ft
$12 per pizza how many pizzas can i get for $400
Answer:
$388
Step-by-step explanation:
subtract 400 and 12
(sorry if its wrong)
Which number line shows the solution of -3x+6>12?
Answer:
when I solve the equation of -3×+6>12
-3×>12-6...........subtract 6 from both side
-3×>6................simplify
-3×/-3 <6/-3......when we divide or multiple by negative number the sign will be in opposite direction
×<-2 ...........× is solved
s.s( solution set ) ={x<-2 like -3,-4,-5 infinity }
Step-by-step explanation:
i hope it is help full
Min swims 4 7/10 laps on Tuesday and 3 5/10 laps on Wednesday . Jessica swims 5 3/10 laps on Tuesday and 4 2/10 laps on Wednesday how many laps did Jessica swim then Min
The volume of a cube is 413cm3.
Work out the length of its side rounded to 1 DP.
Answer:
Write the full question please
The length of the side of the cube, rounded to 1 decimal place, is approximately 7.6 cm .
To find the length of the side of a cube given its volume, we need to find the cube root of the volume .
Given that the volume of the cube is 413 cm³, we can calculate the length of its side as follows:
side length = ∛( volume )
side length = ∛( 413 cm³)
side length ≈ 7.6 cm (rounded to 1 decimal place)
Therefore, the length of the side of the cube, rounded to 1 decimal place, is approximately 7.6 cm .
To know more about length click here :
https://brainly.com/question/28088232
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Josie bought a soda and 2 candy bars. The soda costs $1.10. Her total bill was $2.40. How much was each candy bar
Answer:
$0.65
Step-by-step explanation:
2.40-1.10=1.3
1.3/2=.65
Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 15 more problems. Over the two
days, a total of 24 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on
Monday?
A. 15x=24
B.24+x=15
C. x+15=24
D.x-15=24
Answer:
C
Step-by-step explanation:
We know that there were 24 questions in the 2 days
And we know that tuesday had 15 more question.
That means Monday had "x questions" + the 15 on tuesday to get 24 in total.
Need help
Value of n2(m+r)if m=3,n=2,r=4
What does 2.8- 4.4n- 2n + 7 equal?
Answer:
2.8- 4.4n- 2n + 7 = -6.4n + 9.8
Step-by-step explanation:
combined like term:
-4.4n - 2n = -6.4n
2.8 + 7 = 9.8
so all you do is combined together and got -6.4n + 9.8
i believe it equals 9.8-6.4n
sorry, im not very good at explaining how i solved it!! D:
but i hope this helped you out :)
Required
1
20 cm
R
What is the area of the shaded region? * 15
(100 Points)
20 cm
6 cm
w
8 cm
Enter your answer
Answer:
I think it is 116
Step-by-step explanation:
400 - 120 - 140 - 24 = 116
which fraction is equivalent to -3/2?
3/-2
-(3/-2)
-3/-2
-(-3/2)
I NEED HELP ASAP!!!!!
Solve the equation and show your work.
Here's the problem: 4x + 3x - 3(4x - 8) = 14
Step 1.) Eliminate parentheses by distributing the -3.
Step 2.) Collect any like terms on the left side of the equation.
Step 3.) Subtract 24 from both sides of the equation.
Step 4.) Divide both sides of the equation by -5.
Answer:
Step-by-step explanation:
x=2
please help asap((((:
Answer:
Angle 3 is 95, angle 1 is 30.
Step-by-step explanation:
I already answered a lot of your other angle questions so I will make this one QUICK...
Angle 4 is 85, so to find angle 3, simply subtract: 180 - 85 = 95
So angle 3 is 95
We know two out of the three angles in a triangle and they are: 95 and 55, so 95 + 55 = 150. The sum of the angles in a triangle is 180 so we have: 180-150 = 30, which is the answer for angle 1.
So angle 1 is 30
Bro I am so bad at math and I need help ;-;
Answer:
1. M > -7
2. y < -1
3. m < -12
4. k > -2
5. c > -9
Please let me know if you need me to explain these answers! :)
If you wanted to figure
out how much air is in
a basketball, would
you use plane
geometry or solid
geometry?
Answer:
solid gemontery
Step-by-step explanation: Plane geomentry is flat and soild is balls sqaures and other types of shapes.
4+3 (x+2) simplify the expression
Answer:
4+3x+6
10+3x
this is the answer
Answer: 3x+10
Step-by-step explanation:
Distribute:
=4+(3)(x)+(3)(2)
=4+3x+6
Combine Like Terms:
=4+3x+6
=(3x)+(4+6)
=3x+10
I need help with math trigonometry and law of sines
Answer:
Step-by-step explanation:
sinx/6=sin90/19
sinx=6sin90/19
x=arcsin(6sin90/19
x=18 degrees
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answer: 40%
Step-by-step explanation:
A p e x
Answer:
40% A.
Step-by-step explanation:
If a triangle ABC is classified as a right triangle, which statement is true?
Answer:
Two slopes of triangle ABC are opposite reciprocals
Step-by-step explanation:
Hope This Helps!!!
Brainliest PLZ???
Answer:
Two slopes of triangle ABC are opposite reciprocals
Step-by-step explanation:
took the test
The absolute value of 7
−12
is
Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Do you mean 7-12, or 7/(-12)?
7-12 = -5, so the absolute value of 7-12 is 5.
The absolute value of 7/(-12) is 7/12.
Pleaseee helpp answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!!!! P equals what ??????
Answer:
P = 2t + 2u + 2v + 4w
Step-by-step explanation:
[tex]P =t + t + u + u + v + v \\ + w + w + w + w \\ \\ P = 2t + 2u + 2v + 4w \\ [/tex]
I will give brainliest. Please help fast! (Solve for number 5)
Answer:
the area of the parallelogram is 120 units
4 times 12 divided by 16
Answer:
3
Step-by-step explanation:
4x12=48
48/16=3
=3
Answer:
the awnser is 60
Step-by-step explanation:
please help this is due today
Help me in number 10 please 6 points!!!!
Answer:
answer is 8.5
Step-by-step explanation:
Find the equation of the line specified.
The slope is -4, and it passes through (5,8).
a. y = 4x + 8
b. y = -4x + 28
c. y = -4x - 12
d. y = -8x + 28
Answer:
B) y=-4x+28
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-4(x-5)
y=-4x+20+8
y=-4x+28
Z+br=p if you are solving for b
Answer: b=p/r-z/r
Step-by-step explanation:
make sure the p/r is a fraction and so is z/r. p goes on top r goes on bottom, minus z over r
Please help this is the last problem I need
Answer:
[tex]sin 54 = \frac{x}{14}[/tex]
Step-by-step explanation:
[tex]sine = \frac{opposite}{hypotenuse}[/tex]
Side z is the adjacent, since it is next to the angle you are solving for.
Side x is the opposite, since it is opposite the angle you are solving for.
The side measuring 14 is the hypotenuse, since it is across from the right angle.
[tex]sin 54 = \frac{x}{14}[/tex]