Answer:
The equation of the graph is;
y = 4·x
Step-by-step explanation:
The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;
(-3, 12), and (2, 8)
The slope, m, of the straight line graph is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substitution of the values, we have;
[tex]Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5} = 4[/tex]
The equation of the graph in point slope form is therefore;
(y - 8) = 4×(x - 2)
y = 4·x - 8 + 8 = 4·x
y = 4·x.
Item 1
Find the dimensions of the square.
Area = 441 cm²
Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.
Ignore the answer choosing it was was a mistake, please help.
Answer:
d
Step-by-step explanation:
none of the others equal 0
process of elimination
Patrick is riding his bike on a rectangular path around his city. There is a rest area at each of the path's four corners. The city map shows the corners marked with coordinates of (–2, 2), (1, 2), (1, –2), and (–2, –2). Each unit represents 2.5 miles.
Question:
What is the perimeter of the path, in miles?
Answer:
35 miles
Step-by-step explanation:
Given
Let the corners be ABCD
[tex]A = (-2,2)[/tex]
[tex]B = (1,2)[/tex]
[tex]C = (1,-2)[/tex]
[tex]D = (-2,-2)[/tex]
First, we calculate the perimeter of the corners in units.
This is done by calculating the distance between the corners.
Distance is calculated as:
[tex]D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]
For AB:
[tex](x_1,y_1) = (-2,2)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]
[tex]D_1 = \sqrt{(1 - (-2))^2 +(2 - 2)^2 }[/tex]
[tex]D_1 = \sqrt{(1 +2)^2 +(0)^2 }[/tex]
[tex]D_1 = \sqrt{3^2}[/tex]
[tex]D_1 = 3[/tex]
For BC
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (1,-2)[/tex]
[tex]D_2 = \sqrt{(1 - 1)^2 +(-2 - 2)^2 }[/tex]
[tex]D_2 = \sqrt{(0)^2 +(-4)^2 }[/tex]
[tex]D_2 = \sqrt{16 }[/tex]
[tex]D_2 = 4[/tex]
For CD:
[tex](x_1,y_1) = (1,-2)[/tex]
[tex](x_2,y_2) = (-2,-2)[/tex]
[tex]D_3 = \sqrt{(-2 - 1)^2 +(-2 - (-2))^2 }[/tex]
[tex]D_3 = \sqrt{(-3)^2 +(-2 +2)^2 }[/tex]
[tex]D_3 = \sqrt{9 +0^2 }[/tex]
[tex]D_3 = \sqrt{9 }[/tex]
[tex]D_3 = 3[/tex]
For DA
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (-2,2)[/tex]
[tex]D_4 = \sqrt{(-2 - (-2))^2 +(2 - (-2))^2 }[/tex]
[tex]D_4 = \sqrt{(-2 +2)^2 +(2 +2))^2 }[/tex]
[tex]D_4 = \sqrt{0^2 +4^2 }[/tex]
[tex]D_4 = \sqrt{4^2 }[/tex]
[tex]D_4 = 4[/tex]
The perimeter P in units is:
[tex]P = D_1 + D_2 + D_3 + D_4[/tex]
[tex]P = 3+4+3+4[/tex]
[tex]P = 14[/tex]
Given that:
[tex]1\ units = 2.5\ miles[/tex]
Multiply both sides by 14
[tex]14 * 1\ units = 14 * 2.5\ miles[/tex]
[tex]14 \ units = 35\ miles[/tex]
Hence, the perimeter is 35 miles
-10(-1/2y+(-7/2)+7y=-25
Answer:
y = -5
Step-by-step explanation:
-10(-1/2y + (-7/2)) + 7y = -25
Let's first of all expand the bracket to get;
5y + 35 + 7y = -25
12y + 35 = -25
12y = -25 - 35
12y = -60
y = -60/12
y = -5
2+2
Help please i really need it
Answer: 4
Step-by-step explanation:
A store advertises 15% off an item that regularly sells for $300
what is the price of the item?
For this problem, we're finding the percent of 300. To do that we:
1. Multiply 300 by 15.
300 x 15 = 4500
2. Divide 4500 by 100. (% = 100)
4500 / 100 = 45
Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.
300 - 45 = 255
Now, our answer is 255 and the unit price is 45.
Let me know of any questions!
What is 3 to the third power divided by 3 to negative 4th power
Answer:
Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.
Step-by-step explanation:
Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12
A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno
B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4
C. How many days does it take John to spend all his money?
D. How many days does it take Collin to spend all his money?
E. Find the solution to the above system (answer is on ordered pair):
F. At what day does John and Collin have the same amount of money? Day
G. On the day they they have the same amount of money, how much do they each have? _____ dollars
A car travels at a speed of 55 kilometers per hour.Find the distance travelled by the car in 12 minutes and 30 seconds.Find the Answers in meters
Answer:
Step-by-step explanation:
(distance) d = (speed) s * t (time)
= 55km/h * 12.30m/s
= 11.275 km
= 11.275 * 1000
= 11275m
A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,
Answer:
[tex]y-4=\frac{1}{2} (x+10)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the point (-10,4)
[tex]y-4=m(x-(-10))[/tex]
Two negatives make a positive
[tex]y-4=m(x+10)[/tex]
Plug in the slope
[tex]y-4=\frac{1}{2} (x+10)[/tex]
I hope this helps!
Una fábrica de bolígrafos fabrica sus propios productos en tres colores distintos. 25 de su fabricación son bolígrafos azules, 13 son bolígrafos negros y el resto son bolígrafos rojos. a.- ¿Qué fracción de bolígrafos son bolígrafos rojos? b.- Si en total en un día se han fabricado 2250 bolígrafos ¿ Cuántos se han fabricado de cada color?
Answer:
a) 4/15
b) 900 bolígrafos azules
750 bolígrafos negros
600 bolígrafos rojos
Step-by-step explanation:
Una fábrica de bolígrafos fabrica sus propios productos en tres colores diferentes. 2/5 de su fabricación son bolígrafos azules, 1/3 son bolígrafos negros y el resto son bolígrafos rojos.
a) ¿Qué fracción de bolígrafos son bolígrafos rojos?
Deje que el número total de bolígrafos se represente como 1
La fracción de bolígrafos rojos =
1 - (Fracción de bolígrafos azules + Fracción de bolígrafos negros)
= 1 - (2/5 + 1/3)
El mínimo común denominador es 15
= 1 - (6 + 5/15)
= 1 - 15/11
= 4/15
Por lo tanto, la fracción de bolígrafos rojos = 4/15
b) Si se han fabricado un total de 2250 bolígrafos en un día, ¿cuántos se han fabricado de cada color?
Para bolígrafos azules
2/5 de su fabricación son bolígrafos azules,
= 2/5 × 2250 bolígrafos
= 900 bolígrafos azules
Para bolígrafos negros
1/3 son bolígrafos negros
= 1/3 × 2250 bolígrafos
= 750 bolígrafos negros
Para bolígrafos rojos
4/15 son bolígrafos rojos
= 4/15 × 2250 bolígrafos
= 600 bolígrafos rojos
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
C≈31.42in
Step-by-step explanation:
Answer:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
A pool has dimensions of 40m by 20m. We'd like to add a tile path surrounding the pool with a width of 1m all the way around the pool. What's the area of the path?
A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?
Answer:
drivers license do you like that song?
Step-by-step explanation
I got my driver's license last week
Just like we always talked about
'Cause you were so excited for me
To finally drive up to your house
But today I drove through the suburbs
Crying 'cause you weren't around
And you're probably with that blonde girl
Who always made me doubt
She's so much older than me
She's everything I'm insecure about
Yeah, today I drove through the suburbs
'Cause how could I ever love someone else?
And I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
And all my friends are tired
Of hearing how much I miss you but
I kinda feel sorry for them
'Cause they'll never know you the way that I do
Yeah, today I drove through the suburbs
And pictured I was driving home to you
And I know we weren't perfect but I've never felt this way for no one
Oh, and I just can't imagine how you could be so okay now that I'm gone
I guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Red lights
Stop signs
I still see your face
In the white cars
Front yards
Can't drive past the places
We used to
Go to
'Cause I still f- love you, babe
Sidewalks
We crossed
I still hear your voice
In the traffic
We're laughing
Over all the noise
God, I'm so blue
Know we're through
But I still f- love you, babe
I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Yeah, you said forever now I drive alone past your street
Answer:
b
Step-by-step explanation:
15 is 30% of what number
Answer:
15 is 30% of 100 I believe
Answer:
50
Step-by-step explanation:
Hope this answer your question.
Which numbers are rational? Check all that apply. –19 Negative two-fifths 0 StartFraction 4 Over 7 EndFraction 1.091502… 2.89
Answer:
everything but 1.091502…
Step-by-step explanation:
Brainliest please
Answer:
A,B,C,D,F
Step-by-step explanation:
Ginger borrowed $550 to purchase software and a camera. The simple interest rate is 8% per year. How much will she save if she pays off the loan in two and a half years instead of three and half years?
Answer:
44$
Step-by-step explanation:
8% of (550 US$) =
44 US$
rewrite in simplest form (-4x+6y-)-(-9x-8y
Answer:
5x + 14y
Explanation:
−4x+6y−(−9x−8y)
Distribute the Negative Sign:
= −4x+6y+−1(−9x−8y)
= −4x+6y+−1(−9x)+−1(−8y)
= −4x+6y+9x+8y
Combine Like Terms:
= −4x+6y+9x+8y
= (−4x+9x)+(6y+8y)
= 5x + 14y
Can some one help me pleas
Manny took a math test. The test started at 12:53 PM, and ended at 1:23 PM. how long did his test last?
Answer:
Step-by-step explanation:
the test lasted :
23 minutes+7= 30 min
12z;53 =7 min will be 1 pm
Add (-12x+6)+(4x-12)
Answer:
-8x - 6
Step-by-step explanation:
Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have
(-12x+6)+(4x-12) = -8x - 6
help bro
Identify the Terms:
3x + 5x + 12 – 3 + 2x
Answer:
dfadfadsadas
Step-by-step explanation:
Pls help asp here are some points
Answer:
(the last one)
Step-by-step explanation:
Hi there!
This looks like a diagnostic. I had to take one last week and it was horrible!
Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)
The denominator is the product of negative 8 and x, which can be written as -8x.
I hope this helped!
pls help me do these problems. I need them by today.
Answer:
see below
Step-by-step explanation:
Question 1: D
Question 2: A
Question 3: B
Question 4: B
Question 5: C
Question 6: D
Question 7: A
Question 8: D
What is the slope of a line parallel to the line whose equation is x+2y=2
Step-by-step explanation:
Parallel lines have the same slope.
[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]
[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]
i need help finding z and y pls
Answer: i believe Z=115 and Y=30
Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.
Can some one help me with this
Answer:
C) y = 2x + 3
Step-by-step explanation:
In slope intercept form(y = mx + b), b is the y intercept and m is the slope. The y intercept is y variable when the x variable is 0. In the chart, the y-intercept(b) is 3. Slope is identified by the different in y by the difference in x. In this chart the slope is 2. Now plug in the number into slope intercept form( y = 2x + 3).
I need help with geometry.
Answer:
x=9
Step-by-step explanation:
AIA's are supplementary 15x+45=180
180-45=130
130/15 = 9
Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?
Answer: AI is 8, Rob is 18, and Bert is 36
Step-by-step explanation:
Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!