We want to write an function that relates the number of blocks south of school that she is to the number of minutes that she has been walking.
The function is: y = (1 block/minute)*x + 8 blocks
A general linear function is:
y = a*x + b
where a is the slope and b is the y-intercept.
First, we do know that she lives 8 blocks south of her school, so the y-intercept of the linear function will be 8 blocks (the point where she starts).
Now we know that her friend lives farther south, so she moves south, at a velocity of 1 block per minute.
Then the linear function is:
y = (1 block/minute)*x + 8 blocks
If you want to learn more, you can read:
https://brainly.com/question/20286983
7
An amount of $12,000 is invested at a simple interest rate of 2.15% for 3 years. What is the total investment after 3 years?
The total value of the investment after 3 years given the amount invested is $12,774.
What is the total value of the investment?The total value of the investment is the sum of the amount invested and the interest earned.
The total value of the investment = amount invested + simple interest earned
$12,0000 + (principal x time x interest rate)
$12,000 + (12,000 x 0.0215 x 3) = $12,774
To learn more about interest, please check: https://brainly.com/question/26164549
PROOF! Prove Theorem: If two lines are perpendicular, then they form congruent adjacent angles. Given: Line AB is perpendicular to line CD. Angle 1 and angle 2 are a linear pair. Prove: Angle 1 is congruent to angle 2.
Answer:
From construction, we construct point M as the center of the figure. According to the linear pair postulate, we know that the sum of the angles on a straight line equal to 180 degrees. Therefore, we know that the other angles have to be 90 degrees. Therefore the angles are congruent because all right angles are congruent.
Step-by-step explanation:
Of the shirts in Shelley's dresser, 1/3 are striped, while another 5/12 are plaid. What fraction of the shirts are either striped or plaid?
the points (11, 13) and (13, 13) fall on a particular line. What is it's equation in slope- intercept form?
Answer:
y=13
Step-by-step explanation:
Because m=slope=
13 − 13/11 - 13 = 0
therefore we use y=13 because the y value is always the same, and the two point have the same y value.
In the park, there are some cats and dogs. The number of cats’ feet is double the number of the dogs’ noses. The number of cats is how many times the number of dogs? Let x be the number of cats, and y be the number of dogs. Write the expression that will help you to solve the problem (expression here). The number of cats is what times the number of dogs.
Answer:
2y=x
Step-by-step explanation:
Normally, if there were the same amount of cats and dogs, the cats' feet would be quadruple the dogs' noses. But, the question states that it is double the dogs' noses. 2 x 2=4, so there are twice as many dogs as cats.
1. What is an equation of a line that is perpendicular to the line whose equation is 2y + 3x - 1?
1)
2)
3
3) y = 2/3
y = x+
x + 1 / 2
y - zx+2
+1
4)
y=-x+
Answer:
Mark me as brainlist
Step-by-step explanation:
y=-3x-7
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
A passenger truck has a capacity of 40 people. If only 80% of their seats are occupied. How many passengers are in the truck?
Answer:
32
Step-by-step explanation:
80 x 40 = 3,200
3,200 / 100 = 32
m∠1=12x-11°
m∠2=10x+17°
Answer:
Step-by-step explanation:
X=26
(-9) - (-5)
Do I add them
Answer. yess ou add them
Step-by-step explanation:
Yes.
(-9)-(-5)=(-9)+5=-4
Hope it helps!
[tex]SparklingFlowers[/tex]
HURRY IM TIMED PLEASE I WILL GIVE BRAINLIST
Answer:
When you divide, you find the reciprocal (flip the numerator and denominator) of the number after the division sign and then multiply.
9/11 divided by 5/11
9/11 x 11/5
9/5
1 4/5
The value of a is 1, b is 4, and c is 5.
:)
3
(
2
n
−
4 what is this = to
)
+
6
n
Answer:
Step-by-step explanation:
2 • (n2 + 2n + 2)
--------------------------
N
Six less than x
I'm in 8th
Answer
I found this. Does this help?
Step-by-step explanation:
If this is an inequality (6 is less than x, or 6 < x), then x is an integer or other value greater than 6.
The variable statement "6 less than x" is (x - 6)
This is a value (variable and constant) where the value of x is determined by an equation
such as x-6 = 4 (x is positive 2) or y = x-6 (y is 6 less than x).
I don't understand this if h(x) |1-7| 23-h(9)
Answer:
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
0
b
=
9
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
0
y-intercept:
9
Step-by-step explanation:
find the volume to the nearest hundredth using 3.14(pi)
Answer:
5575.28 cm^3
Step-by-step explanation:
Formula for the Volume of a Sphere:
(4/3)πr^3
Radius (r) = 11 cm
Plug it in:
(11)^3(4/3)π = (1331)(4/3)π = (5324/3)π
Convert π into a number:
(5324/3)(3.14) = 5575.28
144=12x
45 =4x-27
2x-2=14
12x=44-10x does any one kno these questions?
Hello russell6333!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Solve for x.
144 = 12x 45 = 4x - 27 2x - 2 = 14 12x = 44 - 10x[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}[/tex]
__________________
[tex]2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}[/tex]
__________________
[tex]3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}[/tex]
__________________
[tex]4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}[/tex]
__________________
NOTE :-To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.Remember that the signs & operations will change when you bring a term to the other side of the equation.So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.__________________
Hope it'll help you!
ℓu¢αzz ッ
What is the measure of z?
4
16
Z
у
Х
Z=?
Answer:
4sqrt(5)
Step-by-step explanation:
Refer to photo for everything. Also, I didn’t do a lot of the algebraic steps on paper; try to do it yourself and see if you can get what I got. But, I did write out the process of finding the answer. I checked the answer with what was given and everything seems to work, but you should check yourself before using this answer just in case.
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(1.5, 8)Step-by-step explanation:
We can see the coefficients of y are same in number but have opposite signs.
We need to add equations, this will eliminate y:
2x + 6x = 7 + 58x = 12x = 12/8x = 1.5Now find the value of y:
2(1.5) + 0.5y = 73 + 0.5y = 70.5y = 4y = 4/0.5y = 8The perimeter of a square is 52cm.Calculate the area.
Answer:
52÷4=13 cm
the area: 13×13=169[tex]cm^{2}[/tex]
Step-by-step explanation:
if line L is perpendicular to line m and the slope of line L is undefined, what is the slope of line m?
A.1
B.1/2
C.0
D.-1
Step-by-step explanation:
mL = Undefined
mM = ?
mL × mM = -1
mM = -1 ÷ mL
mM = -1/mL
mM = -1/Undefined
mM = -1/(1/0)
mM = (-1 × 0)/1
mM = 0
Slope of line m is 0
Option → C
CAN SOMEBODY PLS HELP ME
Answer:
5
Step-by-step explanation:
The constant of proportionality k is calculated as
k = [tex]\frac{gallons}{time}[/tex]
Then
k = [tex]\frac{5}{1}[/tex] = [tex]\frac{10}{2}[/tex] = [tex]\frac{15}{3}[/tex] = [tex]\frac{35}{7}[/tex] = [tex]\frac{50}{10}[/tex] = 5
Answer:
the constant of proportionality in the table is 5.
Step-by-step explanation:
the answer is 5 because 1 x 5 = 5 ,2 x 5=10 , 3 x 5 = 15 , 7 x 5 = 35, and 10 x 5 = 50.
Cole is having his car repaired. The mechanic said it would cost at least $375 for parts
and labor. If the cost of the parts was $150, and the mechanic charges $60 an hour,
how many hours is the mechanic planning to work on the car?
Answer:3.75 hours
Step-by-step explanation:
If you take a varible, lets say x, and times that by your mom. You will get y^2. After that, take ur mom and divide that by ur dads ding dong. Now they don't give us the formula to find out how long, creamy and wet your dad's ding dong is so we use the formula, busty step sis + step bro = BIG DING DONG, to get (x^69)+12 as ur dads ding dong. Now add ur mom with ur dad, y^2+(x^69) to get a child, 6969699696.
Hope this helps :)
given m||n, find the value of x. ??
Step-by-step explanation:
6x - 10 = 7x - 30
6x - 7x = -30 + 10
-x = -20
x = 20°
Value of x is 20°
Answer:
x = 20
Step-by-step explanation:
Given m||n meaning the lines are parallel: Two angles are alternate exterior angles and so their measure is same
7x - 30 = 6x - 10 export like terms to the same side of equation
7x - 6x = 30 - 10
x = 20
30-1 divided by 1/25
Answer:
725
Step-by-step explanation:
30 - 1 = 29
29 x (25/1) = 725
Graph the line that passes through the points (2,−3) and (4,−3) and determine the equation of the line.
Answer:
Y = -3
Step-by-step explanation:
First lets use this equation to find the slope of the line:
Y2-Y1/X2-X1
Plug in our values:
(-3+3)/(4-2) = 0/2
The slope is undefined because it cannot be 0.
The Y values of the ordered pairs stay the same so we can see that the graph will stay on the Y value -3.
We would graph this line horizontally on Y = -3
a 10kg box putting pushed with a force of 24 Newtons and a fraction of 12N. Determine coefficient of Friction and Determine acceleration of the Box
PLEASE HELP
Assuming the force is applied horizontally over a flat surface, the net horizontal force is
F (h) = 24 N - 12 N = (10 kg) a
Solve for the acceleration a :
12 N = (10 kg) a
a = 1.2 m/s²
Meanwhile, the net vertical force is zero since the box of only moving horizontally.
F (v) = n - (10 kg) g = 0
where n is the magnitude of the normal force exerted upward by the surface. We see that
n = (10 kg) (9.8 m/s²)
n = 98 N
The friction force has a magnitude that is proportional to the normal force,
12 N = μ (98 N)
where μ is the coefficient of kinetic friction. Solve for μ :
μ = (12 N)/(98 N)
μ ≈ 0.12
The current population of a small city is 38500 people. Due to a loss of jobs, the population is decreasing by an average of 150 people per year. How many years (from now) will it take for the population to decrease to 36400 people?
A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use X as your variable and use no commas in your equation.
B) Solve your equation in part [A] for X
Answer: Equation form: y=mx+b m=slope b=y-intercept slope= -375 y-intercept= 29000 equation: population now, 0 years x = years from now y= -375x + 29000 375x=3000 x=8
Step-by-step explanation:
Someone help me please!
Answer:
First one is y=(x+1)^2
Question 3 (1 point)
What is the Range of this set of data?
4 4 5 5 6 6
a 2
b 3
c 5
d 4
Write in slope-intercept form of the line through point P(6,-1) with slope 4
Answer:
y = 4x - 25
Step-by-step explanation:
y = 4x + b
-1 = 4(6) + b
-1 = 24 + b
-25 = b
