Answers
Answer:
Below
Step-by-step explanation:
a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.
So the equation for the first one is y = -(1/3)x
To find what x equals when going through the point (x, 4), plug in 4 for y and solve
y = -(1/3)x
4 = -(1/3)x
4/-(1/3) = -(1/3)x/-(1/3)
-12 = x
So, when y = 4, x = -12
b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.
This makes the second equation y = -4x
Then plug 4 in for y again, instead using -4 as the slope
y = -4x
4 = -4x
4/-4 = -4x/-4
-1 = x
This shows that when y = 4, x = -1
Related Questions
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Answers
Answer:
380 square inches
Step-by-step explanation:
We are given the measurements of the Rectangular Prism as
8 inches by 9 inches by 10 inches
Where based on the order of arrangement:
8 inches = Length
9 inches= Width
10 inches = Height
Step 1
Find the amount of wrapping paper needed
Perimeter = 2L + 2W
= 2 × 8 + 2 ×9
= 16 + 18
= 34 inches
Base = L × W
= 8 × 9
= 72 inches
Surface Area of the Rectangular Prism =PH + 2B
Where P = Perimeter
H = Height
B = Base
= 34 × 10 + 2× 72
= 340 + 144
= 484 square inches
The area of the Rectangular prism = 484 square inches
Step 2
So we were told that she used wrapping paper the measured 2 feet by 3 feet.
We would convert the values in feet to inches
1 ft = 12 inches
Length = 2 ft = 2 × 12 = 24 inches
Width = 3 ft = 3 × 12 = 36 inches
We find the area of the wrapping paper
Length × Width = 24inches × 36 inches = 864 square inches.
Step 3
The amount of square inches of wrapping paper left over is calculated as:
Area of the wrapping paper used - Area of the Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the amount of square inches of wrapping paper left over is 380 square inches.
Express in simplest radical form.
64 2/3 • 64 1/3
Answers
Answer:
The answer to this in simplest radical form is 4160 2/9.
answer me step by step
if don't I will report you
Answers
Explain
Area of 4 congruent parallelograms= 308cm^2
Area of 1 parallelogram = 308/ 4
Area of 1 parallelogram = 77 cm ^2
h+h= 14
As h+h=2h
2h=14
Divide both side by by 2
H= 7
Solve for b
As b+b = 2b
2b+6=y
Subtract both side by 6
2b+6-6=y-6
Combining numbers
2b=y-6
Divide both side by 2
2b/2 = y-6/2
Cancel 2
B= y-6/2
We have of 1 parallelogram = 77 cm^2
H= 7
B= y-6/2
Parallelogram area = bh
So now parallelogram area = y-6/2 x7
And area of 1 parallelogram = 77 cm^2
Y-6/ 2 x 7 = 77
Y-6/2 x 7= 7(11)
Cancel 7
Y-6/2 = 11
Multiple both by 2
2(y-6/ 2) = 11x2
Cancel 2 and multiple numbers
Y-6=22
Add 6 both sides
Y-6+6=22+6
Y=28
Geometry
A.)10 units
B.)17 units
C.)14 units
D.)7 units
Answers
Answer:
14 units
Step-by-step explanation:
All we have to pay attention to in this problem is B, so we can ignore the rest of the triangle. B is 5 units directly to the left of line l, meaning that B' must be 5 units to the right of line l. This would put B' 2 units to the left of line m. That means that B" would be 2 unit to the right of line m, as that is how reflections work. Adding up all of the difference in units you have a 10 unit shift from B to B', and then a 4 unit shift from B' to B". Now adding 4+10=14 units.
WILL CHOOSE BRAINLIEST 5 STARS AND THANKS...How many 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by: Divisible by 5 Divisible by 12 Divisible 25
Answers
Answer:
( edited )
1. divisible by 5 : 120
2. divisible by 12 : 192
3. divisible by 25 : 24
See explanations below.
Step-by-step explanation:
Given:
6 digit number
digits all unique between 1 to 6
divisible by 5, 12 and 25
Find how many such numbers
solution:
1. Divisible by 5.
The last digit must be 5. That leaves five digits (1,2,3,4,6) for the rest of the numbers. So there are 5! = 120 such numbers.
2. Divisible by 12 (edited again)
All numbers formed from unique digits 1,2,3,4,5,6 are divisible by 3, since 1+2+3+4+5+6 = 21 which is divisible by 3.
For the 6 digit numbers divisible by 12, the two end digits must be divisible by 4, for which there are 8 ( 12,16,24,32,36, 52, 56, 64)
For each of the 8 numbers, we have 4 more digits to tag on for which there are 4! = 24 permutations. Thus there are 8*24 = 192 numbers divisible by 12.
3. divisible by 25
All numbers ending in 00, 25, 50 or 75 are divisible by 25.
Using digits 1 to 6, only those ending in 25 qualify.
Thus that leaves us with 4 digits to make 4! = 24 variations.
Thus there are 24 such numbers.
1/8+c=4/5 what is c? please answer urgent!!!
Answers
Answer:
Step-by-step explanation:
1/8 + c = 4/5
c = 4/5 - 1/8
c = 4/5 × 8/8 - 1/8 × 5/5
= 32+5 / 40
= 37/40
Hope this helps
plz mark as brainliest!!!!!!
Tico’s Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco truck’s owner decides to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. The owner can calculate the daily revenue using the polynomial expression -7x2 + 32x + 240, where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents. Part D: What are some advantages of writing the polynomial expression -7x2 + 32x + 240 in factored form when interpreting this situation?
Answers
Answer:
The constant term is 240. It represents the initial daily revenue.
Step-by-step explanation:
It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits.
The owner can calculate the daily revenue using the polynomial expression
where x is the number of $1 increases in the taco price.
Constant term does not contain any variable.
In the given expression 240 is free from variable x. So, the constant term is 240.
The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.
Therefore the constant term is 240 and it represents the initial daily revenue.
Complete the table of values for y=x^2-2x+5 (see table in comments)
Answers
Step-by-step explanation:
Plug in each value of x into the equation and find y:
[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]
Which of the following equations have infinitely many solutions? Choose all answers that apply: (Choice A) A 76x+76=-76x+7676x+76=−76x+7676, x, plus, 76, equals, minus, 76, x, plus, 76 (Choice B) B 76x+76=76x+7676x+76=76x+7676, x, plus, 76, equals, 76, x, plus, 76 (Choice C) C -76x+76=-76x+76−76x+76=−76x+76minus, 76, x, plus, 76, equals, minus, 76, x, plus, 76 (Choice D) D -76x+76=76x+76−76x+76=76x+76
Answers
Answer:
−76x+76=−76x+76 and 76x+76=76x+76
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x).
Answers
Answer:
x² + 2x + 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 4x + 5 + x² - 2x - 2 ← collect like terms
= x² + 2x + 3
Which statement could the expression n + 1 represent? one point greater than the last test grade the difference of Gina's score and one the total cost less one dollar one minute less than Mickey's previous time
Answers
Answer:
A. One point greater than the last test grade.
Step-by-step explanation:
One point greater than the last test grade can be written as an expression:n + 1
The difference of Gina’s score and one can be written as an expression:
n - 1
The total cost less one dollar can be written as an expression: n - 1
One minute less than Mickey’s previous time can be written as an expression: n - 1
Answer:
Step-by-step explanation:
its A
PLEASE HELP ASAP THIS IS TIMED. If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)? On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2) On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5). On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answers
Answer:
4th Graph
Step-by-step explanation:
Step 1: Find (f + g)(x)
-x² + 3x + 5 + x² + 2x
3x + 5 + 2x
5x + 5
Step 2: Graph
Answer:
option d on edge trash
Step-by-step explanation:
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer
False
True
Answers
Answer:
False
Step-by-step explanation:
If you were to divide a negative number by a negative number, or multiply a negative number by a negative number, you would change the sign to positive as two negatives make a positive.
Answer:
False
Step-by-step explanation:
if you multiply two negative integers, you will get a positive result
For example
(-1) x (-2) = 2 (the sign of the answer is different from the sign of the two negative integers that we multiplied)
Can someone please help...
This is a quantitative (maths) question. I’m going to show the solved examples, Cena someone explain the examples to me?
Please ignore the question above and explain examples.
Answers
Answer:
See below for explanation of the examples.
Step-by-step explanation:
Left example
It is an exercise in addition, i.e. 48+122=170, the answer is written in the bottom box.
Right example
It is an exercise in subtraction, i.e. 8 1/2 - 3 1/2 = 5
The answer is written in the bottom box.
There is no indication though as to when to do the addition, and when to do the subtraction. Perhaps it would be shown in the rest of the page (not shown).
A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of the bus?.
Answers
Answer:
Step-by-step explanation:
Let s represent the speed of the bus.
From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as
Speed, s = distance covered by the bus/ time taken to cover the distance
Therefore,
Speed, s = 240/5 = 48 km/hr
A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be
s ≥ 48
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 266(1.05) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2010?
Answers
Answer:
The yearly growth percentage is 5%
The worth of the company in 2010 is 433 million of dollars approximately
Step-by-step explanation:
The annual growth percentage;
We can write the equation of w as follows;
W = 266 (1 + 0.05)^t
Compare this with ;
W = I(1 + r)^t
Where W is the worth at a particular year
I is the initial worth at year 2000
r is the rate of increase per year
and t is the time since 2010
where it is the 0.05 that represents the yearly growth percentage (r)
0.05 as a percentage is 5/100 which is 5%
Now, we want to calculate the worth of the company in the year 2010
The first thing to do here is to calculate the value of t.
The value of t is the difference between the years 2000 and 2010 and that is 2010-2000 = 10 years
Now to find the worth at 2010, simply substitute that value of t = 10 in the equation
Thus;
W = 266(1.05)^10
W = 433.2859707228
Which is approximately 433
An insurance company models the number of warranty claims in a week on a particular product that has a Poisson distribution with mean 4. Each warranty claim results in a payment of 1 by the insurer. Calculate the expected total payment by the insurer on the warranty claims in a week.
Answers
Answer:
4 monetary units
Step-by-step explanation:
In a Poisson distribution, the expected value of the distribution is the same as the mean:
[tex]E(X)=\mu=4\ claims[/tex]
The expected number of warranty claims is 4.
Since each claim results in a payment of 1, the expected value paid by the insurer is:
[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]
The expected total payment on warranty claims is 4 monetary units.
Please answer it now in two minutes
Answers
Answer:
8sqrt(3)
Step-by-step explanation:
30-60-90 truangle ratio of lengths of sides:
1 : sqrt(3) : 2
24/d = sqrt(3)/1
d * sqrt(3) = 24
d = 24/sqrt(3)
d = 24/sqrt(3) * sqrt(3)/sqrt(3)
d = 24sqrt(3)/3
d =
Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answers
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
learn more about lines here:
brainly.com/question/2696693
#SPJ5
the picture is the qestion
Answers
Answer:
The answer is option D.
Step-by-step explanation:
Because -3/-5 = 3/5 since the negative sign cancel each other.
Hope this helps you
Answer:
The fourth option
Step-by-step explanation:
-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)
-(-3/-5) is basically negative of -3/-5
-3/-5 is the not the same as -3/5
Infinite solutions No Solution (0,3)
Answers
Answer:
1. no solution
2. (0,3)
3. IMS (Infinitely Many Solutions)
Step-by-step explanation:
First graph has parallel lines, which means the lines will never intersect, therefore it will be impossible to get a solution.
Second Graph has 2 lines that intersect at points (0,3) which will give only one solution.
Third Graph has 1 line that overlaps at every point, which means that any point which is on the that line is a solution.
hiii
please follow me and brain list answer
Infinite solutions No Solution (0,3)
ASAP What is a downside of receiving a tax refund?
Answers
Answer:
You've given Uncle Sam an interest-free loan of your money for a full year. ... If you had received your expected refund incrementally as part of your pay, you could have used it to pay bills, start an emergency fund or save for something special.You are at the mercy of the IRS, which already is at the mercy of a frequently late-acting Congress when it comes to tax laws. If Congress and the IRS are slow, then so is your receipt of your refund.
what is the explicit formula for this sequence -1,4,-16,64
Answers
Answer:
The answer is c.
Step-by-step explanation:
[tex]a_{1} =-1*(-4)x^{n-1}[/tex]
[tex]a_{1} =-1(-4)^{1-1}[/tex]
[tex]a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1[/tex][tex]a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4[/tex][tex]a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16[/tex]
Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Answers
Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.
What is a congruent triangle?A congruent triangle simply means when two triangles have exactly the same side and angles.
Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.
Learn more about triangles on:
https://brainly.com/question/24382052
Find the value of tanθ in the figure below
Answers
Answer:
tanΘ = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
For a trapezoid, the midsegment is one-half of...
a) the opposing leg
b) the square of the largest leg
c) the same as the smallest leg.
d)the sum of the bases
Answers
Answer:
D
Step-by-step explanation:
Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases
What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases
Mathematically, this is same as adding the two bases and dividing the result by 2.
Hence we can say it is exactly one-half the length of the sum of the two parallel bases
Help please ?
Solve 2x - 5 = 7
Answers
Answer:
x = 6
Step-by-step explanation:
2x - 5 = 7
Add 5 on both sides.
2x - 5 + 5 = 7 + 5
2x = 12
Divide both sides by 2.
2x/2 = 12/2
x = 6
Estimate $10.01 + $7.07 using front-end estimation.
Answers
Answer:
17
Step-by-step explanation:
You would make the 10.01 a 10 and the 7.07 a 7.
the denominator of a fraction is 2 more than its numerator.when both the numerator and the denominator are increased by 3,the fraction is increased by 3/20.Find the original fraction given that both the numerator and denominator are positive integers
Answers
Answer: 3/5
Step-by-step explanation:
[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]
Since "a" is a positive integer, disregard a = -10
So the only valid answer is a=3 → a+2=5
[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]
The probability that you roll a two on a six-sided die is 16. If you roll the die 60 times, how many twos can you expect to roll?
Answers
Explanation:
If you roll one time the probability is 16
Then if you roll 60 times the probability is:
16 x 60 = 960
If you roll the die once the probability it 16. But if you were to roll it 60 times the math you would have to do would be: 60*16=960. Simpler than you may think.
Hope this helps!!