Answer:
y - 8 = -1/4(x - 4)Step-by-step explanation:
Perpendicular lines have negative-reciprocal slopes.
The line contains point P(4, 8)
Point slope form:
y - y₁ = m(x - x₁)Given line:
y = 4x - 7The slope of the perpendicular line is m = -1/4.
The line in point-slope form is:
y - 8 = -1/4(x - 4)Answer:
y - 8 = -1/4(x - 4)
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.
Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)
y - y₁ = -1/4(x - x₁)
To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.
y - 8 = -1/4(x - 4)
This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)
Hope this helps!
Delia takes out a loan to buy a car for $18,000 with an interest rate of 6.5%. The amount of interest Delia will have to pay is $4,680. Write and solve an equation to determine the number of months her loan is for. Show all of your work and explain how you got your number of months.
Answer:
Delia pays $4,680 in 4 months
Step-by-step explanation:
Equation:
18,000 * 6.5% = 1170
4680 ÷ 4 = 1170
So, the answer is 4 months this is the equation.
Hope this helps! :)
Evaluate the expression. 6(3+5)/4
Answer:
12
Step-by-step explanation:
6(3+5)/4 add number inside parentheses
6(8)/4 multiply 6 and 8
48/4 divide
12
Hope this helped you!
If there was a point R(-2, 4) and it was dilated to R'(-8, 16), what was the scale factor? *
Answer:
4
Step-by-step explanation:
The slope of a line passing through the point (5.-6) is 0.4.
Drag the proper numbers and signs to obtain the equation of the line in slope-intercept form.
Answer:
using formula y2-y1/x2-x1, x1= -6,x2= o, y1= 5,y2= 4
Step-by-step explanation:
4-5/0-(-6)
-1/0+6
-1/6
is your answer
At an apple orchard, customers use a standard-size box when picking apples. The table shows the total weight of the box of apples and the weight of the apples alone.
Question: Which statement is true?
The equation a= 7.5t models the relationship.
If the total weight of the box is 15 lb, then the weight of the apples is 13.5 lb.
If the total weight of the box is 20 lb, then the weight of the apples is 21.5 lb.
To find any value of a, subtract 2.5 from the corresponding value of t
Table:
Total weight of box (lb), t: 7.5
10
12.5
Weight of apples (lb) a: 6
8.5
11
Answer:
here's the right answer- someone on a different website said the same weird thing as the person before me smh
Step-by-step explanation:
If the total weight of the box is 15 lb, then the weight of the apples is 13.5 lb.
Option (2) is correct.
What is an equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws.
As per the given data:
The table shows the total weight of the box and the weight of the apples.
From the table:
Total weight of the box - weight of apples = weight of box
7.5 - 6 = 1.5 lb
10 - 8.5 = 1.5 lb
12.5 - 11 = 1.5 lb
If the total weight of the box is 15 lb and the weight of the apples is 13.5 lb
15 - 13.5 = 1.5 lb {weight of box}
Which satisfies the data in the table.
Hence, If the total weight of the box is 15 lb, then the weight of the apples is 13.5 lb.
To learn more about equation, click:
brainly.com/question/10413253
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(The given question is incomplete, the complete question is given below)
please help asap!!!!
Answer:
The area is 60. Thats all I know TwT
Step-by-step explanation:
graph the parabola. y=(x-3)^2-1
Answer:
Step-by-step explanation:
y = (x-3)²-1
This is the equation for an up-opening parabola with vertex (3,-1).
Find the x-intercepts:
0 = (x-3)²-1
(x-3)² = 1
x-3 = ±1
x = 4, 2
The graph crosses the x-axis at (4,0) and (2,0).
Find the y-intercept:
y = (0-3)²-1 = 8
The graph crosses the y-axis at (0,8).
Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.
dos numeros sumados dan como resultado 5 y el doble de uno mas el doble del otro da como resultado 15 ¿cuales son esos numeros?
Answer:
Sean dos números A y B.
Sabemos que la suma de estos dos números es igual a 5, entonces:
A + B = 5
Y sabemos que el doble de uno mas el doble del otro da como resultado 15.
entonces:
2*(A + 2*B) = 15
esta es la única forma de interpretar esta ecuación, si en lugar de esta expresión tuviéramos 2*A + 2*B = 15 (pues tambien se puede interpretar como esto), entonces:
tenemos dos ecuaciones:
A + B = 5
2*A + 2*B = 15
Ahora, si sacamos el 2 como factor común en la segunda ecuación tenemos:
2*(A + B) = 15
si dividimos ambas partes por 2:
(A + B) = 15/2 = 7.5
(A + B) = 7.5
Esto se contradice con la primer ecuación:
(A + B) = 5.
Entonces podemos concluir que dichos números no existen.
Dejando esto de lado, nuestras ecuaciones van a ser:
A + B = 5
2*(A + 2*B) = 15
Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la primera:
A = 5 - B
Ahora podemos reemplazar esto en la otra ecuación:
2*(5 - B + 2*B) = 15
2*(5 + B) = 15
10 + 2*B = 15
2*B = 15 - 10 = 5
B = 5/2 = 2.5
Y con la primer ecuación:
A + B = 5
reemplazamos el valor de B:
A + 2.5 = 5
A = 5 - 2.5 = 2.5
Ambos números son 2.5.
Select all names that apply to the number 3/7
Answer:
WYM
Step-by-step explanation:
The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next event, he has ordered 100 dinner plates. Each plate is 12 inches in diameter, with gold trim along the edge. How much gold trim is needed in total to prepare the plates? Use 3.14 for pi.
A) 4748 inches
B) 3784 inches
C) 2894 inches
D) 3768 inches
Answer:
D) 3768 inches
Step-by-step explanation:
Given,
No. of plates = 100
Diameter of each plate = 12inches
So, radius of each plate = 12 / 2 = 6 inches
So, circumference of each plate
[tex] = 2\pi \: r[/tex]
= 2 × 3.14 × 6 inches
= 37.68 inches
Hence, circumference of 100 plates = 100 × 37.68 inches
= 3768 inches
Hence, 3768 inches of gold trim is required (Ans)
Kayla earns 5% commission on
all jewelry sales. How much
would she earn if she sold $725
worth of jewelry?
Answer:
725 x0.05=36.25
Step-by-step explanation:
when finding percentage move the decimal over two places, making 5 0.05
the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room
Answer:
Given :-the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room
To Find :-Length and breadth
Answer :-Let the length and breadth be l + 2 and l
Now,
[tex] \large \sf \: Area = l + 2 \times l [/tex]
[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]
[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]
[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]
[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]
[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]
Either
[tex] \large \sf \: l = - 9[/tex]
or,
[tex] \large \sf \: l = 7[/tex]
Length can't be negative,
So,
L = 9
B = 7
Please mark as brainliest :)
Amjed has 223 cards in his trading card collection. Latif has
8.741 cards in his trading card collection. Using the orders of
magnitude, about how many times more trading cards does Latif
have than Amjed?
Answer:
The orders of magnitude are numbers of the form:
10^n
where n can be any integer number.
So we can write something like:
"A is n orders of magnitude above B
Now we have the quantities:
Amjed cards = 223
Latif cards = 8741
We want to find how many times more trading cards does Latif have than Amjed.
Then we need to look at the quotient between the number of cards of Latif and Amjed.
8741/223 = 39.2
Now we need to approximate this to the nearest 10^n number.
(..., 0.1, 1, 10, 100, 1000, ...)
The nearest one to 39.2 is 10.
So we can say that Latif's collection is 10.
and 10 = 10^1
then n = 1
Then we can say that Latif's collection is one order of magnitude above Amjed's collection.
one and sixty three hundreths in decimal form.
Answer:
1.63
Step-by-step explanation:
Answer:
1.63
Step-by-step explanation:
y= 5x - 7
-3x - 2y = -12
Solve each system of equations using the substitution method
Give the solution in (x,y) form
Point form: (2,3) and x=2 and y=3
can some one help me please....
by step by step explanation......
is y=1-x to the second power linear or nonlinear
Answer:
Non Linear
Step-by-step explanation:
Its non-linear because when you put X to the second power, it will change the function into a quadratic function
The sale price of a model railroad set is $174. If it was marked down to 25% off of the original price, what was the original price?
Answer:
$217.50
Step-by-step explanation:
I) Make an equation to find the answer:
o = s + 0.25s (original price = sale price + 25% of sale price)
II) Solve:
o = 174 + 0.25(174)
o = 217.50
If the price was 174 after the mark down of 25%, then adding 25% back will give you the answer.
174 + 25% (which is 43.5) = $217.5
Hope this helps!
Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).
Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).
solve the proportion X-16/x+6 = 3/5
Answer:
x = 49
Step-by-step explanation:
Given
[tex]\frac{x-16}{x+6}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(x - 16) = 3(x + 6) ← distribute parenthesis on both sides
5x - 80 = 3x + 18 ( subtract 3x from both sides )
2x - 80 = 18 ( add 80 to both sides )
2x = 98 ( divide both sides by 2 )
x = 49
Answer:
x = - 49
Step-by-step explanation:
Solve for X by cross multiplying.
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit a
child's sweater as it does to knit one hat.
a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solve
the problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.
It will take yards of yarn to knit a child's sweater.
b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?
It will take yards of yarn to knit a hat, a scarf, and a child's sweater
Answer:
A: 2,400 yards is needed for the child's sweater
you would take 400*2 to get the amount of yarn for the hat (800)take 800 (value of the hat) * 3 (the sweater uses three times as much yarn than the hat) = 2,400.B: HAT: 800 yards
SCARF: 400 yards
SWEATER: 2,400 yards
we already have all of the values present from the first part of the problem, so we would just plug those in for the correct thing.Step-by-step explanation:
i really hope this helped! if it did please give me brainliest.
Do the points A(-2,1), B(-2,4), C(3, 4), D(3, 1) form a square?
Answer: i don't think they do
Step-by-step explanation: tell me if i wrong
Which of the following answers would have
no solution?
X=3
5=3
2=2
Answer:
no entiendo me explican que significa por fa
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
Aubrey's dinner cost $85 She tips the waitstaff 30%, percent for excellent service.
Answer:
She tipped $25.50 and paid a total of $110.50
Step-by-step explanation:
hope this helps you out
The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)
Answer:
2
Step-by-step explanation:
Find the diagram attached
The Base of the triangle will be equivalent to the the length of the rectangle
Since the base of the triangle is 5units, hence length of the rectangle is 5units
Similarly, the height of the triangle is corresponding to the width of the rectangle
Since the height of the triangle is 2 units, the rectangle will be 2 unts wide. Hence the required answer is 2units
someone pls help me 10 points
the city of luckett is pilling rock salt for use during ice storms. if the pile from last year is 29 feet high and 14 feet are added this year, how high is the pile of rock salt?
29 + 14 = 43
The pile of rock salt is 43 feet high
whats the anwser for 14−3x<−1
Answer:
Step-by-step explanation:
Here you go mate
Step 1
14−3x<−1 Question
Step 2
14−3x<−1 Simplify
Step 3
14−3x<−1 Subtract 14 from sides
-3x<-15
Step 4
-3x<-15 Divide sides by -3
x>5
Answer
x>5
Hope this helped
Answer:
Step-by-step explanation:
I can help
Step 1
14−3x<−1 Simplify
Step 2
14−3x<−1 subtract 14 from the sides
-3x<-15
Step 3
-3x<-15 Divide the sides by 3
-3x/-3<-15/-3
Answer
x>5
Hope this helps