Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
Answers
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
Related Questions
What is the value pqr/pq-qr if p=-3,q=2 and r=2?
Answers
Answer:
1.2 OR 1 1/5
Step-by-step explanation:
-3 x 2 x 2 = -12
-3 x 2 = -6
2 x = 4
-12 / -6 - 4 =
-12 / -10 =
1.2 OR 1 1/5
Hope that helps!
Find the axis of symmetry. Question in pic. PLEASE HELP
Answers
Answer:
axis of symmetry is x = 1; vertex is (1,8)
Clay works on a farm. He packaged eggs into
containers that hold 1 dozen eggs each. He filled
4 containers with white eggs and 5 containers
with brown eggs. How many eggs did Clay
collect? Hint: one dozen eggs = 12 eggs
Answers
Answer:
(4×12)+(5×12)
48+60
108 eggs total
Answer:
108
Step-by-step explanation:
Well considering the fact that the question is asking how many eggs did Clay collect in total, we can just multiply 4*12 (12 being how many eggs being in the container and 4 being the amount of containers) and multiply 5*12 to get a total of 108 eggs. Or you could just add both the amount of containers and multiply it by 12. Hope this helped :)
four fifths of the senior class went to prom. if 324 seniors went to prom, how many are there in the class?
Answers
Answer:
there's a total of 388.8 kids in the class but you can have 0.8 of a person and you can't round a person up so just 388
Step-by-step explanation:
tldr: 388 people
80%. 324
100%. X
X=100•324/80
X=32,400/80
X=405
405 seniors are in the class
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answers
Answer:
2
Step-by-step explanation:
[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]
7x = 14 step by step
Answers
Answer:
x=2
Step-by-step explanation:
7x = 14
x = 14/7
x = 2
Answer:
2
Step-by-step explanation:
7x/7 = 14/7
x = 2
Simplify 3^2 ⋅ 3^5.
3^7
3^10
9^7
9^10
Answers
Answer: 135, 21, 30, 63, 90
Step-by-step explanation:
What is the length of the missing leg?
Answers
Answer:
6
Step-by-step explanation:
[tex]\sqrt{10^{2} -8^{2} }[/tex] = 6
Answer:
b = 6
Step-by-step explanation:
Pythagorean formula:
a² + b² = c²
Work:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
b² = 100 - 64
b² = 36
[tex]\sqrt{b^2} =\sqrt{36}[/tex]
b = 6
CAN SOMEONE PLEASE HELP MEEEE!!!! I’ll give extra points
Answers
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check the attachment for the diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
Kelly sent packages to her 4 cousins. The
weight of each package was between
12.56 ounces and 15.4 ounces.
Which of the following could be the total
weight of the packages that Kelly sent?
Answers
Answer:
c
Step-by-step explanation:
got it right
Step-by-step explanation:
the total weght could be 15,4_12,56=2,84
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answers
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
Which of the following is true concerning the expression 5x + 7 + 2x? Please circle the correct answer.
A. 5x and 7 are like terms.
B. The simplified form of the expression is 5x + 9.
C. 5x and 2x are like terms.
D. The simplified form of the expression is 14x.
Answers
pls answer the image below
Answers
State the method that would be used to verify that the triangles are similar. Justify your answer.
Answers
Answer:
answer is 3
Step-by-step explanation:
add 5 minus 10
20 equals more than a number y
Answers
Answer:
[tex]20 > y[/tex]
Step-by-step explanation:
20 is greater than y.
What is the area of the rectangle with the given dimensions?
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
Answers
Answer:
F
Step-by-step explanation:
The area is equal to length times width.
Use the foil method to multiply (2x-5)(3x+3).
June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?
Answers
x=24.3 • 2
x=48.6
Answer is 48.6
Which of the following equations corresponds to the graph below
Answers
Answer:
d) y = -1/2 + 3
Step-by-step explanation:
Looking at the graph, we can use y = mx + b to find the equation. m is the slope and for slope, we go 1 unit down and 2 units to the right. b is the y variable and our b would be 3.
y = mx + b
y = -1/2x + 3
Hope this helps and stay safe, happy, and healthy, thank you :) !!
What is the kinetic energy of a 4 kg cart pushed at a rate of 0.5 m/s?
A. 0.5J
B. 2J
C. 4J
D. 8J
Answers
Answer:
A. 0.5J
Step-by-step explanation:
[tex]K. E._{(cart)} = \frac{1}{2} m {v}^{2} \\ \\K. E._{(cart)} = \frac{1}{2} \times 4 \times (0.5)^{2} \\ \\ K. E._{(cart)} = 2 \times 0.25 \\ \\ K. E._{(cart)} = 0.5 \: J[/tex]
The kinetic energy of a 4 kg cart pushed at a rate of 0.5 m/s is 0.5 J.
Kinetic energy = 1 /2 mv²
where
m = mass
v = velocity
Therefore,
m = 4 kg
v = 0.5
Kinetic energy = 1 / 2 × 4 × 0.5²
kinetic energy = 1 / 2 × 4 × 0.25
kinetic energy = 1 / 2 × 1
kinetic energy = 1 /2 = 0.5 j
learn more: https://brainly.com/question/13939099?referrer=searchResults
Pls answer quick if you don’t mind.
Answers
Answer:
A
Step-by-step explanation:
if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A
Answer:
X=19
Step-by-step explanation:
123 and 3x are supplementary/they equal 180 added together.
Let's solve your equation step-by-step.
123+3x=180
Step 1: Simplify both sides of the equation.
3x+123=180
Step 2: Subtract 123 from both sides.
3x+123−123=180−123
3x=57
Step 3: Divide both sides by 3.
3x/3 = 57/3
x=19
Have a splendid day.
PS. I like your bakugo profile picture.
what is 2(3x+2)=2x+28
Answers
Answer:
x=6
Step-by-step explanation:
6x+4=2x+28
4x=24
x=6
Davis has a thin box that is 5 inches wide. He wants to use the box to store markers that are 1/2 inch wide. If he lines up the markers side by side and uses the entire width of the box, how many markers can Davis fit in the box?
Answers
Answer:
10
Step-by-step explanation:
Given that :
Width of box, W = 5 inches
Width of marker to be stored in box = 1/2 inch
The number of 1/2 inch marker which can be stored in box is :
Width of box ÷ width of marker to be stored in box
5 inches ÷ 1/2 inches
5 / 0.5
= 10
Hence, Ten 1/2-inch width marker can be stored in the box
Helpppppoo plzzzzzzz
Answers
Answer:
dont mind me
Step-by-step explanation:
Answer:
b. a. c. b. c. b. c. c. a.
Step-by-step explanation:
2 3 4 5 6 7 8 9 and 10
Marta has 7 more than half as many books as Lucy. If L is the number of books Lucy has, which expression could be used to find the number of books Marta has?
Answers
Answer: L/2 + 7
Step-by-step explanation:
Number of books that Lucy has = L
Since Marta has 7 more than half as many books as Lucy, the expression that could be used to find the number of books Marta has will be gotten by multiplying the number of books that Marta has by 1/2 and then adding 7 to the value gotten. This will be:
= (1/2 × L) + 7
= L/2 + 7 or 0.5L + 7
True or false questions for the following graph:
will brainlist if correct! ( if your a scammer i will report!)
- true or false; the ordered pair (2, 2) is a root of the graph.
- true or false; the domain of the graph is all real numbers.
- true or false; the range is y < 2.
- true or false; the graph has a minimum point at (2,2)
Answers
9514 1404 393
Answer:
falsetruefalsefalseStep-by-step explanation:
The roots (zeros) of the function are (1, 0) and (3, 0). The point (2, 2) is the vertex, the maximum in this case.
The domain of any polynomial function is "all real numbers".
The range is y ≤ 2, not y < 2.
what is Arithmetic progression and geometric progression?
hope u have a great day!!
Answers
Answer:
Arithmetic progression is a series of numbers in which each one varies from the one before it by a constant quantity
Geometric progression is a non-zero number sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number known as the common ratio.
Hope you have a good day as well! <3
Cora uses 9.5 pints of blue paint and white paint to paint her bedroom walls. 2/5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls
Answers
Answer:
5.7 pints
Step-by-step explanation:
Total pints of paint used = 9.5 pints
Fraction of blue paint used = 2/5 ; while the rest is white paint
Amount od blue paint used :
2/5 * 9.5 = 3.8 pints
Amount of white paint used :
Total pints - blue pints used
9.5 pints - 3.8 pints
= 5.7 pints of white paint.
find the axis of symmetry for f(x)=-3x^2+5x-6
Answers
Answer:
x= -5/6
Step-by-step explanation:
formula for axis of symmetry is
-b/2a
so,
-5/2(-3)
= -5/-6
= 5/6
everyday marco puts $0.25 into a jar for savings. one day he counted his money and found he had $91.75. how many days had he been saving?
Answers
Answer:
Marco had been saving for 367 days.
Step-by-step explanation:
If Marco started with no money and put $0.25 into a jar a day, then you just have to divide the total amount of money he has by 0.25.
91.75/.25 = 367
please help, thank youu! :)
Answers
Answer:
false is the write answer you can write it
Answer:
false
Step-by-step explanation:
if u divide y÷x each time u won't get the same answer so I t wouldn't be proportional