Answer:
y = 2x + 9
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 9
Step 2: Write linear equation
Slope-Intercept Form: y = 2x + 9
Help please, thanks :)
Answer:
60°
Step-by-step explanation:
Angle 1 is a vertical angle to 60° by the definition of a vertical angle.
Answer:
∠1 = 60°
Step-by-step explanation:
What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?
Answer:
D
Step-by-step explanation:
Midpoint Formula:
[tex]\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}[/tex]
[tex]\frac{3+1}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒ [tex]2[/tex]
[tex]\frac{8+-4}{2}[/tex] ⇒ [tex]\frac{8-4}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒[tex]2[/tex]
[tex](2,2)[/tex]
What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?
Answer:
9/10
Step-by-step explanation:
Answer:
9/10
Step-by-step explanation:
right on EDG2020 trust me:P
14x - 43 = 71 + 8x look for x show work please
Answer:
x=19
Step-by-step explanation:
14x-43=71+8x problem
14x=114+8x add 43 to both sides
6x=114 subtract 8x from both sides
x=19 divide by 6 to both sides (114/6 =19) x=19
HELP! help is needed ASAP! help is very much appreciated.
Answer:
Length of side e is 4.12
Length of side f is 4.24
The length of side f is larger than length of side e
Step-by-step explanation:
We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.
We can use distance formula to calculate lengths of line segments.
The Distance Formula is: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Finding length of side e:
We are given points (-2,3) and (-1,-1)
here we have [tex]x_1=-2, y_1=3, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12[/tex]
So, Length of side e is 4.12
Finding length of side f:
We are given points (2,2) and (-1,-1)
here we have [tex]x_1=2, y_1=2, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24[/tex]
So, Length of side f is 4.24
The length of side f is larger than length of side e
5k-2(3k + 4) = 5x + 4
help?
im so confused, can someone explain this to me? i suck at math
Answer:
My guess would be that the slope is -3
Step-by-step explanation:
Based on what I was taught, I would use the formula y2-y1/x2-x1
-7 - 2
---------- = -3
-3 - (-6)
A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
A.
$450.75
B.
$300.00
C.
$655.50
D.
$281.25
Answer:
B
Step-by-step explanation:
Considere la siguiente ecuación: 16a – ( 3a – (6 – 9a) ) = 30a + ( – (3a + 2) – (a + 3) ) III) Al romper paréntesis, agrupar términos semejantes y simplificar. La ecuación queda:
Answer:
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Step-by-step explanation:
Tenemos la siguiente ecuación simultánea: [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex]. El procedimiento consiste en destruir los paréntesis desde dentro hacia fuera, agrupar los términos semejantes y simplificar. Presentamos el proceso paso por paso:
1) [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex] Dado
2) [tex]16\cdot a -\{3\cdot a + (-1)\cdot [6+(-1)\cdot 9\cdot a]\} = 30\cdot a +\{(-1)\cdot (3\cdot a +2)+(-1)\cdot (a+3)\}[/tex] [tex]-b = (-1)\cdot b[/tex]
3) [tex]16\cdot a -\{[(-1)\cdot (6)+(-1)\cdot (-1)\cdot 9\cdot a]\}= 30\cdot a +\{\left[(-1)\cdot (3\cdot a) + (-1)\cdot (2)\right] +[(-1)\cdot a +(-1)\cdot (3)] \}[/tex] Propiedad distributiva
4) [tex]16\cdot a -(-6+9\cdot a) = 30\cdot a +(-3\cdot a -2-a-3)[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
5) [tex]16\cdot a +(-1)\cdot (-6+9\cdot a) = 30\cdot a -4\cdot a-5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/[tex]-b = (-1)\cdot b[/tex]
6) [tex]16\cdot a +[(-1)\cdot (-6)+(-1)\cdot (9\cdot a)] = 26\cdot a -5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/Propiedad modulativa.
7) [tex]16\cdot a +6-9\cdot a = 26\cdot a - 5[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
8) [tex]7\cdot a +6 = 26\cdot a - 5[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
9) [tex]6+5 = 26\cdot a -7\cdot a[/tex] Compatibilidad con la adición/Definición de sustracción.
10) [tex]11 = 19\cdot a[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
11) [tex]19\cdot a = 11[/tex] Simetría de la igualdad.
12) [tex]a = \frac{11}{19}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división/Resultado.
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
$38.88
$43.20
$47.52
$48.60
38.88 is the correct answer
i have the answer below i got 100%
Subtract the shortest length from the longest.
0.81 m
1.08 m
0.8 m
180 cm
18 cm
WHAT IS THE PRODUCT OF 6 NEGATIVE AND 12 POSITIVE
INTEGERS
Answer:
-72
Step-by-step explanation:
-6*+12=-72
because - x + = -
Answer:
-72
Step-by-step explanation:
6×-12
-72 (because a×-a=-a)
These ordered pairs represent a function:(0,2), (1,-1), (2,-4), (3,-7). Write a function rule (equation) to represent this function.
Answer choices
a.y=-3x+2
b.y=x+2
c.y=3x-7
d.y=3x+2
Answer:
A
Step-by-step explanation:
I included the steps in the picture I attached. lmk if you need me to explain more
What is the result of F (X) = - 3 × -3
Hello There this is your answer
and hope you a GREAT Thanksgiving :)
F ( X ) = 9
I need the answer can someone please help me!!
Answer:
13.5 units^2
27/2 units^2
Step-by-step explanation:
multiply 27/5 and 5/2
the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2
Philip's rectangular deck is 5 yards wide. The ratio of the width to the length is 4 to 5. What is the approximate length of Philip's deck in feet? Hint: 1 yard = 3 feet.
Answer:
18.75 feet
Step-by-step explanation:
Step 1
we find the length of Philip's rectangular deck in yards
The ratio of the width to the length is 4 to 5.
Philip's rectangular deck is 5 yards wide.
Hence,
Hence:
4/5 = 5/x
Cross Multiply
4x = 5 × 5
4x = 25
x = 25/4
x = 6.25 yards
The length of Philip's field = 6.25 yards
Hint: 1 yard = 3 feet.
Converting the yard to feet
1 yard = 3 feet
6.25 yards = x
Cross Multiply
x = 6.25 × 3 feet
x = 18.75 feet
Therefore, the length of Philip's field in feet = 18.75 feet
The choir at wise middle school was preparing for their Hispanic concert. While rehearsing their opening song they noticed it took 48.7 seconds to sing it.They felt it was too long and sang it again taking off 2.9 seconds from the original time. The third time they sang it they were able to take an additional 0.47 seconds off their time. How long did it take the choir to sing the song the third time?
Answer:
45.88 seconds
Step-by-step explanation:
[tex]t_1[/tex] = Time taken to sing the fist time = [tex]48.7\ \text{s}[/tex]
Time taken to sing the second time was [tex]2.9\ \text{s}[/tex] less than the first time so
[tex]t_2=t_1-2.9\\\Rightarrow t_2=48.7-2.9\\\Rightarrow t_2=45.8\ \text{s}[/tex]
Time taken to sing the third time was [tex]0.47\ \text{s}[/tex] less than the the second time
[tex]t_3=t_2-0.47\\\Rightarrow t_3=45.8-0.47\\\Rightarrow t_3=45.88\ \text{s}[/tex]
So the time it took the choir to sing the third time was 45.88 seconds.
Suppose that an elementary school starts a recycling program. After one year, the school has
reduced its trash from 144,000 pounds per year to 122,400 pounds per year. Find the percent
decrease in the amount of trash.
Answer:
15% is reduced
Step-by-step explanation:
I always start by finding what 10% and 5% is, after that, I try to see how I can make that into the number subtracted and for this it happened to be 15% I found that 10% was 14,400 and 5% was 7,200 and I found the total amount reduced was 21,600 which is 14,400+7,200 or 10%+5%
(ANSWER FAST PLSS)In AABC, what is the measure of angle B?
B
(2x)
(x+2).
140
A
046
0480
0700
092
Hannah filled her car at the gas station. She
bought 48.3 L, and her bill was $37.43.
What was the price of the gasoline, in cents
per litre ?
Answer:
43.43/43
Step-by-step explanation:
Find the absolute change and the relative change of the number of refugees in the world that increased from 8.7 million in 2005 to 16.1 million in 2015 on percentage.
Answer:
Absolute change = 7.4 million
Relative change percentage = 85.1%
Step-by-step explanation:
Given that:
Number of refugees in 2005 = 8.7 million
Number of refugees in 2015 = 16.1 million
The absolute change :
(Number of refugees in 2015 - number of refugees in 2005)
(16.1 million - 8.7 million) = 7.4 million refugees
The relative change in the number of refugees :
((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%
[(16.1 - 8.7) / 8.7] * 100%
(7.4 / 8.7) * 100%
0.8505747 * 100%
= 85.057%
= 85.1%
Can you please answer for me please need questions answer
Answer:
decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3
Step-by-step explanation:
Answer:
4 + 2√3
Step-by-step explanation:
x - 2 = √4x
Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2
(x - 2)² = (√4x)²
x² - 4x + 4 = 4x
x² - 8x + 4 = 0
D = (- 8)² - 4(1)(4) = 48 = (4√3)²
[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641
[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root
What is the slope of the line that passes through the points (3,5) and (6, 10)?
A. Y= 573
B. Y= -5/3
C. Y= 3/5
D.Y= -3/5
Answer 5/3
Explanation
Slope formula m = y2 - y1 - Rise
x2 - x1 - Run
10 - 5 = 5
6-3 = 3
I know this is correct. I am not sure why this isn't one of the answers.
determine the slope of the line that passes through the points: f(0)=2 and f(3)=-1
Use the figure to find the measure of angle 2.
Answer:
∠ 2 = 70°
Step-by-step explanation:
110° and ∠ 1 are corresponding angles and congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°
Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each and child tickets $7 each. Which system of equations below will determine the number of child tickets, and the number of adult tickets, a, he bought?
Answer:
434.60
Step-by-step explanation:
Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used 45% of the memory space already. How many minutes of the flash drive has she already used?
Answer:
90 minutes
Step-by-step explanation:
In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.
x = 200 * (45 / 100)
x = 200 * 0.45
x = 90 minutes
Therefore, Kenzie has already used 90 minutes of video on the flash drive.
Below are two parallel lines with a third line intersecting them
Answer:
Z is 66. If you want an explanation, I could give it to you, FYI.
Answer:
x=66°
Step-by-step explanation:
Solve for x:
If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:
∠1+∠2=180°
Substitute known values:
[tex]x+114=180[/tex]
Subtract 114 from both sides to isolate x:
[tex]x+114-114=180-114\\\\x=66[/tex]
The value of x is 66°.
:Done
1.
Which of these expressions is equivalent to 3(x - 2)?
A.
3x – 6
B.
3x
2
C.
3x + 2
D.
3x + 6
Answer:
A. 3x - 6
General Formulas and Concepts:
Pre-Alg
Distributive PropertyStep-by-step explanation:
Step 1: Define expression
3(x - 2)
Step 2: Expand
Distribute 3 to both terms: 3x - 66.What is the radius of the circle?
Answer:
Radius is half the diameter of a circle
Step-by-step explanation:
If the diameter was 6, then the radius is 3