Answer:
[tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Multiple RootsStep-by-step explanation:
Step 1: Define
25x² + 35x = -12
Step 2: Rewrite
[Addition Property of Equality] Add 12 on both sides: 25x² + 35x + 12 = 0Step 3: Identify
Identify Variable Parts.
a = 25, b = 35, c = 12
Step 4: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-35\pm\sqrt{35^2-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Multiply: [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-1200}}{2(25)}[/tex][Numerator - √Radical] Subtract: [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{2(25)}[/tex][Denominator] Multiply: [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{50}[/tex][Numerator - √Radical] Evaluate: [tex]\displaystyle x=\frac{-35\pm5}{50}[/tex]Evaluate: [tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?
Answer: 24 km/h
Step-by-step explanation:
She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h
Please Help me with this I don’t understand
Polygon E’F’G’H’
is a dilation image of the polygon
EFGH
What is the scale factor of the dilation?
A.3
B.6
C.12
D.1/3
Answer:
The scale factor of the dilation is 3 ⇒ A
Step-by-step explanation:
If a polygon dilated by a scale factor k, then the ratio between its sides and the corresponding sides of its image equals k The length of a vertical segment is the difference between the y-coordinates of its endpointsIn the given figure
∵ EFGH is a polygon
∵ E = (-2, 1), H = (-2, -1)
∵ EH is a vertical side
→ By using the 2nd rule above
∴ The length of EH = 1 - (-1) = 1 + 1
∴ The length of EH = 2
∵ E'F'G'H' is its image after dilation by scale factor k
∵ E' = (-2, 5), and H' = (-2, -1)
∵ E'H' is a vertical side
∴ The length of E'H' = 5 - (-1) = 5 + 1
∴ The length of E'H' = 6
→ By using the 1st rule above
∴ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{E'F'}{EF}[/tex] = [tex]\frac{H'G'}{HG}[/tex] = [tex]\frac{F'G'}{FG}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{6}{2}[/tex]
∴ [tex]\frac{E'H'}{EH}[/tex] = 3
∴ k = 3
∴ The scale factor of the dilation is 3
Alisa, Mykia, and Martin decide to share the responsibility of walking their dog every day. There are 365 days in a year. How many days each year does Alisa need to walk the dog?
Answer: 121 2/3 days
Step-by-step explanation:
Number of days in a year = 365 days
Number of friends = 3 friends
The number of days each year that Alisa need to walk the dog will be:
= Number of days in a year / Number of friends.
= 365 / 3
= 121 2/3 days
= 121 days + (2/3 × 24hours)
= 121 days 16 hours
Note that 24 hours = 1 day
what does 8+2y-5x+y=x-1
The value of x is 1/2y+3/2
Answer:
y = 2x - 3
Step-by-step explanation:
8 + 2y - 5x + y = x - 1
3y = 6x - 9
y = 2x - 3
slope is 2, y-intercept is -3
What is the first step to solving this equation (5x-11=42)?
A. add 11 to both sides
B. divide both sides by 5
C. multiply both sides by 5
D. subtract 11 from both sides
Answer:
First, you have to add 11 on both sides, so the answer is A
A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a jack or a nine.
A) 5/52
B) 6/52
C) 7/52
D) 8/52
Show work pls.
Answer:
1/169
Step-by-step explanation:
Assume jacks are “a”
and nines are “b”
a= 4/ 52
b= 4/52
now multiply
4/52 x 4/52 = 16/52
and simplify
4/13
(i dont know why the answer choices are different)
please help me . weak in here
9514 1404 393
Answer:
x = 10√3
Step-by-step explanation:
The Pythagorean theorem tells you ...
FB^2 = BC^2 +CF^2
FA^2 = FB^2 +BA^2
Substituting for FB^2, we have ...
FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2
FA^2 = 3x^2
FA = x√3 = 30 . . . . take the square root and substitute for FA
x = 30/√3
x = 10√3
Regina carns $7.25 per hour for babysitting her little sister how many hours must Regina work to earn $464
Answer:
64
Step-by-step explanation:
464 / 7.25 = 64
I will give brainliest to the correct answer!
Answer:
c). 2x^3 x ^3[tex]\sqrt{4}[/tex]
Step-by-step explanation:
i hope this is correct! have a good day! c:
Please help me I’ll mark you brainiest
Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.
Step-by-step explanation:
hello! please help me solve this asap!
Answer:
3
Step-by-step explanation:
y-3 = 3x+12
y = 3x +15
so slope = 3 ( number next to the x)
78% of 68 is what number?
Answer:
53.04
Step-by-step explanation:
Which of the following coordinate points is a solution to the inequality y>= -3x+6
A (-2,4)
B (3,-4)
C (4,3)
D (-5,-3)
Answer:
I need help ok so this is correct it is c
Step-by-step explanation: First
Help please!!!!
mPSQ=
312
48
132
Answer:
312°
Step-by-step explanation:
PSQ = 360°- mPAQ
at mPAQ=mSAR
so PSQ =360°-48°=312°
Answer:
Answer:
312°
Step-by-step explanation:
In this it says to find the measure of PSQ
That means the arc starts at P goes through S and ends at Q.
In this case the only section of the circle that is not included is ∠PAQ
∠PAQ is 48° due to reflexive property
Now subtract 48 out of 360
360 - 48 = 312
312° is you answer
Hope this helps
Step-by-step explanation:
help please, don't answer if you don't know. ill give brainiest
Information about a rectangle is given below. Find the missing measurement.
Area = 63 km2
Length = 7 km
Width = ? km
Answer:
Width = 9 km
Step-by-step explanation:
Area is length*width, so to find the width, you divide the area by the length. 63/7 is 9.
Please help me
what is the premiter of the semi circle
Answer:
B
Step-by-step explanation:
please help i will mark branliest
Answer:
C
Step-by-step explanation:
Convert into degrees. 9pi/6
Answer:
270 degrees
Step-by-step explanation:
Take note that to convert Pi to Radians you need to use the formula of
180 degrees = Pi radians
Therefore if you have 180 degrees multiplied by 9 Pi over 6 you get the degree measurement of 270
I believe, The answer to your question is:
B. 270°
Hope I helped! Have a fantastic day! Bye, you got this! :)
Please helpoppplllll mei need to complete this I will give brainly
Answer:
(5,-6) I think
Step-by-step explanation:
Quickkk solve by graphing u can use a graph I just need the work
y = 3x + 2
6x - 2y = -4
Answer:
-3x-3y=-24
divide the equation by 3
-x-y=-8
multiply -1
x+y=8
second equation
x+y=8
same equation
so answer is
x+y=8
Step-by-step explanation:
Which expression is equivalent to the expression -3 (4r - 2) -2r?
Answer:
-14r + 6
Step-by-step explanation:
-12r + 6 - 2r
Q.2*
Simplify
(2a2 – 4a – 8)(a + 1)-1
A. 2a - 6
2
a+1
B. 2a2 - 6a - 2
2
C. 2a + 6+
a+1
i think the B is the answer
Please help i dont get this
Answer:
11-2m
Step-by-step explanation:
33-6m/3
= 3(11-2m)/3
= 11-2m (the 3 cancels out)
please write an equation for this problem to represent the relationship between the submarines elevation and time.
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent.
Answer:
I can see if one of my friends can help
Answer:
a?
Step-by-step explanation:
No no BBB
Solve this quadratic equation using factorisation. I will give brainliest, 5 stars and thanks! :) Kind of urgent, I don't have long to hand my assignment in.
x^2 - 6 = 5x
(Please explain how you worked it out as well, I'm not very confident with this and I need to know how it's done. Thank you :) )
Answer:
x2 + 5x-6
Step-by-step explanation
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
−
6
and whose sum is
5
.
−
1
,
6
Write the factored form using these integers.
The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
6,9,2,4,10
Step-by-step explanation:
There are possible multiples that can be divisible by 54.
srry if the picture is a little blurry
Hurry i need this right now !!!
The ages of three brothers are consecutive integers. The sum of their ages is 24. Let b represent the youngest brother.
Write an expression to represent the second oldest brother.
Write an expression to represent the oldest brother.
Write an equation to represent the sum of all three brothers.
Answer:
Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?
Step-by-step explanation:
Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?
Answer:
[tex]b+1\\b+2\\b+(b+1)+(b+2)=24[/tex]
Step-by-step explanation:
If [tex]b[/tex] represents the youngest brother's age, the second oldest brother's age can be written as [tex]b+1[/tex] and the third can be written as [tex]b+2[/tex], since they're all consecutive.
The sum of all their ages is then [tex]b+(b+1)+(b+2)[/tex] which is equal to [tex]24[/tex], as given.
HELP!!!What is the length of BC in the right triangle below
Answer: 39
Step-by-step explanation:
D. 39
Explanation:you use the pythagorean theorem which is [tex]a^{2}+b^{2} = c^{2}[/tex]
if you look at the triangle we can see that we have to find the length of the hypotenuse (BC).
so your equation will look like this:
[tex]15^{2} + 36^{2} =c^{2}[/tex]
Solving For The Length Of BC1. [tex]15^{2} + 36^{2} =c^{2}.[/tex] (solve for [tex]15^{2} and 36 ^{2}[/tex])
2. C= 225+1296 (add)
3. C= 1521 (find the square root of 1521)
4. [tex]\sqrt{1521} = 39[/tex]
Therefore, 39 is your answer
Hope this helps!
18.4(x-8)=-32+4**
- Many Solutions
- No Solution
- One Solution
19.-(3-6x)=6x+5 *
- One Solution
- No Solution
- Many Solutions
Can someone plz help me on this it’s due soon :)
Answer:
18. one solution 19. No solutions
Step-by-step explanation: