Sheila leaves on a trip driving at 30 miles per hour. Two hours later, her sister Allison starts from the same location driving at 60 miles per hour. How long after Allison leaves home will she catch up to Sheila?
2 hours
4 hours
3 hours
5 hours
Answer:
2 hours
Step-by-step explanation:
Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)
Step-by-step explanation:
find 3x + 12y = 1 in terms of y
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x1=-2 and y1=6 and m=4
so using the equation
(y-y1) = m(x-x1)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.
What is the slope-intercept form of a line?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.
Given an equation of line 3x + 12y = 1
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x₁=-2 and y₁=6 and m=4
so using the equation
(y-y₁) = m(x-x₁)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14
Learn more about slope intercept form here:
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Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle?
Answer:
1/2 of a minute
Step-by-step explanation:
Answer:
Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle
Step-by-step explanation:
Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle
solve the proportion
4/5 = x/15
Answer:
x = 12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
hmmm it got deleted
x=12
Step-by-step explanation:
because 4/5 times 15 is 12
also, 5x=60
x=12
I need help with this question
Answer:
Equal
Step-by-step explanation:
After dilation, the shape of the original figure is maintaine. Only the size changes.
Consequently, the side lengths of both figures would be proportional to each other. This implies that the ratios of the corresponding side lengths of the original figure and the new figure would be equal.
Which triangle would be congruent to the original using a reflection over the x-axis
a.
b.
c.
d.
PLS SOMEONE!! I NEED THE ANSWER PLSSS!
Answer:
100 miles. hope this helps
Answer:
Here, For a given figure,
Area (A) = 10 in². (given)
Now,
1 inch = 50 miles
So,
1 inch² = 50 miles²
So, 10 × 50 = 500
-TheUnknownScientist
4+2(7)=
Evaluate
can someone plz help im confused
Answer:
4+14= 18 this is the answer
Step-by-step explanation:
2(7)=14+4=18
you multiply the 2 and 7 and then add the 4
Answer:
18
Step-by-step explanation:
what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.
hope this helped! <3
Please help I don’t get it I will mark brainleist
Answer:
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.
Step-by-step explanation:
bro trust me
Which is the net for this rectangular prism?
Answer:
probably c
Step-by-step explanation:
Evaluate the expression for the given value of the variable.
29 + 5/6r
r = -1/2
find r
Hey there!
The solution to your question is
We simply plug the "r" value into the equation and solve:
29 + (5/6)(-1/2)
29 + -5/12
28 7/12
Hope it helps! Have an amazing day, and remember, You've got this!
Select the correct answer
Answer:
B. iStep-by-step explanation:
n/4 has a remainder of 3, then it has a format of:
n = 4k + 3Substitute n:
i^n = i^(4k)*i^3 = i^(4k)*i^2*i = (-1)(-1)*i = iCorrect option is B. i
Simplify.
(x2+x−1)+(2x2−3x+9)
Answer:
32−2+8
Step-by-step explanation:
Eliminate redundant parentheses
thats the answer simplified
I need help with 13&14 please ASAP!!!!!
Answer:
3/5 for 13
Step-by-step explanation:
add 2 to the numerator and the denominator
help me pls what is 3(3)+1
Answer:its 10 :)
Step-by-step explanation:
5x+y=7
20x+2=y
What does x=?
What doesy=?
Answer: y = 6 x = 0.2
Step-by-step explanation:
5x+y=7
20x+2=y
re-write one
5x + y = 7 OR y = 7 - 5x
substitution
20x + 2 = 7 - 5x
20x + 5x = 7 - 2
25 x = 5
x = 5/25
x = 0.2
now for finding y
y = 7 - 5x
y = 7 - 5(0.2)
y = 7 - 1
y = 6
plzzzzzzzzzzzzzzzzzzzzzzzzzzz help me this so easy i just dumd
Write an equation for this relationship. if x represents the days and y represents the total cost.
Answer:
18.5
Step-by-step explanation:
Just add 18.5 and 55.50 and repeat with the other numbers
Answer:
x is 18.5
Step-by-step explanation:
3/55.50=18.5
same as all the others
Help !!!
See question in image.
Please show workings .
Answer:
[tex]f(x) = 3 {x}^{2} \\ lim \: \frac{f(x + h) - f(x)}{h} \: \: when \: h - > 0 \\ lim \: \frac{3( x + h)^{2} - 3 {x}^{2} }{h} when \: h - > 0 \\ lim \: \frac{3( {x}^{2} + 2xh + {h}^{2}) - 3 {x}^{2} }{h} when \: h - > 0 \\ \\ lim \: \frac{3 {x}^{2} + 6xh + 3h^{2} - 3 {x}^{2} }{h} when \: h - > 0 \\ lim \: \frac{6xh + 3 {h}^{2} }{h} \: when \: h - > 0 \\lim \frac{6xh}{h} + \frac{3h^{2} }{h}when \: h - > 0 \\ lim \: 6x + 3h \: when \: h - > 0 \\ = 6x + 3(0) \\ = 6x + 0 \\ = 6x \\ \\ or \\ \frac{d(3x^{2}) }{dx} = 2 \times 3x^{2 - 1} \\ = 2 \times 3x^{1} \\ = 2 \times 3x \\ = 6x[/tex]
Take a look at the blue function below. The dashed green function is its parent
function. Are these sine or cosine functions?
1
2TT
-1
Sine
ОО
Cosine
Answer:
Step-by-step explanation:
They are both sine functions. The blue one is multiplied by 2 and shifted down one.
blue: y = 2 * sin(theta) - 1
green: y = sin(theta)
I'm not sure what the answers mean.
Hrozmarly needs to evaluate the following expression y^2-x^2 when y=9 and x=2. Her answer should be?
i am in 6 grade
Answer:
Step-by-step explanation:
y^2 -x^2=
y^2=9^2=81
x^2=2^2=4
81-4=77
Please help!!! I need help solving just this one question and then I’ll be finished with this homework!!!
Sandy noticed there was a sale going on at Target. She decides to buy a blanket that has a price of $26.80. If the blanket is on sale for 30% off, how much will the blanket be after the discount?
Answer:
18.76
Step-by-step explanation:
On Monday, Aisha spent 5 over 6 of an hour practicing the violin. On Tuesday, she practiced for 2 over 3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?
Answer: 1/6
Step-by-step explanation:
5/6 - 4/6 = 1/6
Answer:
1
-
6
Step-by-step explanation:
Add.
-7+ (-1) =
need asap
Answer:
The answer is -8
how many solutions are there for
x-2y=6
3x-6y=18
Answer:
This is for solving x is x=6+2y and solving for y is y=-6-x/2
they both are the same
Step-by-step explanation:
4xy = 88. If y = 2, then what is x?
Answer: x = 11
Step-by-step explanation:
first, i did simple calculations.
4x(2) = 88
that calculates out to:
8x = 88
then, i divided both sides by 8, in order to get x by itself.
8x/8 = 88/8
x = 11
Help me please........
Answer:
(7, -1)
Step-by-step explanation:
Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.
Eva swims 1/2 of a mile in 1/4 of an hour. How far will she swim in 1 hour?
Answer:
2 miles branliest pls
Step-by-step explanation:
Answer:
2miles in 1 hour
Step-by-step explanation:
miles hours
1/2 1/4
1 2/4
1 1/2 3/4
2 4/4
what's the length of line AB if point A is at (6,3 and point B is at (8,-8)
Answer:
Step-by-step explanation:
Solution,
Here,
A=(6,3) (x1,x2)
B=(8,-8) (y1,y2)
AB=?
Now,
(AB)^2=(x2-x1)^2+(y2-y1)^2
Now putting the value of x1,x2,y1,y2
=(3-6)^2+(-8+8)^2
= (-2)^2+(0)^2
= (-4,0)
AB=(-4,0)
Hope it helped you.
Plz mark me brainliest.
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!
Answer:
22.91 inches
Step-by-step explanation:
circumference = 2πr
2πr = 72 inches
2 x [tex]\frac{22}{7}[/tex] x r = 72
[tex]\frac{44}{7}[/tex] x r = 72
Solving for r , divide both sides of the equation by 7/44
r = 11.454545 inches
diameter= 2 x radius
2 x 11.454545 inches = 22.91 inches