Answer:
y=-3x+5
bring (4,-7) in other three lines
you will know that it is unreasonable that
-7=-14
-7=-17
-7=14
The equation for the line perpendicular to the line represented by the equation [tex]y= \ \frac{1}{3} x-2[/tex] that passes through the point [tex](4,-7)[/tex] will be [tex]y=-3x+5[/tex].
What is equation for the perpendicular line ?Equation for the perpendicular line, the perpendicular lines have opposite-reciprocal slopes.
Now,
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Equation of a perpendicular line [tex]y=mx-b[/tex]
Here, [tex]m=[/tex] slope
So,
We have
[tex]y= \ \frac{1}{3} x-2[/tex]
Here,
[tex]m = \frac{1}{3}[/tex]
As mentioned above, we have to find the slope of perpendicular,
i.e.
(slope of perpendicular) [tex]m[/tex] [tex]=-3[/tex]
So,
[tex]y=mx-2[/tex]
[tex]y=(-3)x-b[/tex]
We have
Point [tex](4,-7)[/tex] through which line passes. i.e.
[tex]x=4[/tex]
[tex]y=(-7)[/tex]
Therefore,
[tex]-7=(-3)*4-b[/tex]
⇒ [tex]b=7-12[/tex]
[tex]b=(-5)[/tex]
So, Equation of a perpendicular line,
[tex]y=-3x+5[/tex]
So, Equation of a perpendicular line, [tex]y=-3x+5[/tex] which is derived from [tex]y=mx-b[/tex] .
Hence, we can say that the equation for the line perpendicular to the line represented by the equation [tex]y= \ \frac{1}{3} x-2[/tex] that passes through the point [tex](4,-7)[/tex] will be [tex]y=-3x+5[/tex].
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On a certain Friday night, the local baseball stadium earned $867.50 in revenue from ticket sales on 310 tickets. Ticket prices are $3.00 for adults and $2.50 for children. How many adults attended the game on Friday?
Answer:
185
Step-by-step explanation:
Found by solving the system of equations:
3x+2.5y = 867.5
x+y = 310
Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
A 6.9x − 16
B 6.9x + 16
C 0.1x − 16
D 0.1x + 16
Answer:
The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides
Let us solve the problem
∵ The lengths of the sides of a triangle are:
0.5x + 93x-3.4x - 25∵ The perimeter of the triangle = sum of lengths of its sides
∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)
→ Add the like terms
∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)
→ Remember (+)(-) = (-)
∴ The perimeter = (3.5x - 3.4x) + (9 - 25)
∴ The perimeter = 0.1x + -16
∴ The perimeter = 0.1x - 16
The expression of the perimeter of the triangle is 0.1x - 16
Answer:
C.
Step-by-step explanation:
0.1x − 16
Identify each part of the algebraic expression as the coefficient, constant, or variable.
1. 4x - 12
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
2. a + 3b
a is a(n) ___________________
3 is a(n) ___________________
b is a(n) __________________
3. 6y
6 is a(n) ___________________
y is a(n) ___________________
TRANSLATIONS
DIRECTIONS: Highlight and Translate, Then type the final translation.
1. Three less than “x” is equal to 13. ________________________
2. The product of 9 and “m” is 45. ________________________
3. A number divided by 6 is 18. ________________________
4. A number plus 17 is 25. ________________________
5. Seven times a number is 28. ________________________
6. A number divided by 7 is 9. ________________________
7. A number minus 12 is 20. ________________________
8. The quotient of “y” and 3 is 25. ________________________
9. One-fifth of “r” is 15. ________________________
10. Six less than 2 times “y” is 34. ________________________
11. Five more than “n” is equal to 9. ________________________
12. A number increased by 3 is 19. ________________________
13. The difference of “p” and 7 is 30. ________________________
14. Fifteen multiplied by “k” is 75. ___________________________
15. The sum of 3y and 5 is 47. ________________________
Answer:
1. coefficient,variable, constant
2. variable,coefficient,variable
3. coefficient, variable
Translations:
1. x-3=13
2. 9m=45
3. x/6=18
4. x+17=25
5. 7x=28
6. x/7=9
7. x-12=20
8. y/3=25
9. r/5=15
10. 2y-6=34
11. 5+n=9
12. x+3=19
13. p-7=30
14. 15k=75
15. 3y+5=47
If an object is dropped from a height of 39 feet, the function h(t)=-16t^2+39 gives the height of the object after t seconds. Graph the function
Answer:B
Step-by-step explanation: I took the test.
The graph of the function h(t)=-16t^2+39 is graph (b)
The equation of the function is given as:
h(t)=-16t^2+39
The above function is a quadratic function that as a y-intercept of 39.
This is shown as follows:
h(0)=-16 * 0^2+39
Evaluate the exponent
h(0)=-16 * 0+39
Evaluate the product
h(0)=0+39
Evaluate the sum
h(0)= 39
Hence, the graph of the function h(t)=-16t^2+39 is graph (b)
Read more about quadratic functions at:
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When a geometric figure turns about a certain point it is called a_____
Answer:
rotation
Step-by-step explanation:
hope this helps
Answer:
Rotation (✿◠‿◠)
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. SAS
B. ASA
C. AAS
D. SSS
Answer:
ASA Postulate
Step-by-step explanation:
It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.
Answer:
B. ASA
Step-by-step explanation:
We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.
How can you use linear relationships to compare real-world
situations?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.
Step-by-step explanation:
Linda bought n packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils p that Linda bought.
Answer:
p = 12n
Step-by-step explanation:
Given parameters:
Number of pencils in each pack = 12 pencils
Number of packs bought = n
Unknown:
equation for total number of pencils, p = ?
Solution:
Total number of pencils = number of pencils in each pack x number of packs bought
Input parameters:
p = 12 x n
p = 12n
Jordan doesn't know how to graph y > 2x + 1 . Can you explain to him using the words below how to do it?
Vocabulary to use:
slope, y-intercept, shade above/below, and dotted/solid line
Answer:
Step-by-step explanation:
Formula: Y= mx+b
m = slope | b = y-intercept
Equation: Y>2x+1
The Y-Intercept is the (1)
Shade above the dotted line because it is >.
You always shade on the left if the left side of the equation is > than the right.
If ≥ Then the line is Solid |||| If > Then the line is dotted.
original cost 14.50 markup:14%
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
14%. 14.5 = 14% = 0.14
Simplify 9 to the 2nd power/ 9 to the 7th power
Answer:
9^2=81, 9^7=478,296,9
One car rental company charges $30 per day plus $0.25 per mile driven. A second company charges $40 per day plus $0.10 per mile driven. What is the minimum number of miles you must drive a one-day rental at the second company to be less expensive than the same rental at the first company?
Answer:
66.67=67mi.
Step-by-step explanation:
Please help im a bit confused
Answer:
200,000
80,000
9,000,000
10,000,000,000
What is the context of this question?
Step-by-step explanation:
Answer:
So standard form just means 200,000 written as like 200^ something(I think)
Step-by-step explanation:
8 to the 4th power times 2 divided by 8 to the eleventh power
Answer:
17179869191.3 (really i used a calculator, it was too hard)
Step-by-step explanation:
8^4 is 4096
2/8 is .25
.25^11 is 2.38418579e-7
4096/2.38418579e-7
17179869191.3
Melissa shot a rocket 360 meters into the air, it took 4 seconds to fly that far. What’s the average speed of the rocket?
Answer:90meters per second
Step-by-step explanation:
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answer:
its b i got it correct
Step-by-step explanation:
on ed 2020
If Jodi walks 1 hour and 17 minutes, explain how you would convert this to
a decimal AND give how many hours this is.
Answer:
Step-by-step explanation:
17 minutes is 17/60 hours=0.28333 ≅0.283 rounded to the nearest thousandth
Jodi walked for 1.283 hrs.See attachment for math work and answer.
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answer:
157.6m
Step-by-step explanation:
Given
Horizontal distance = 181m
Length of the rope =240m
To know how high above Kayla was, we will use the Pythagoras theorem.
According to the theorem;
d² = x²+y²
x is the horizontal distance
y is the vertical distance
d is the length of the rope
Substitute
240² = 181²+y²
y² = 240²-181²
y² = 24839
y = √24839
y = 157.6m
Hence the boat is 157.6m above Kayla
Write the inequality:
2 times d is less than 10
Answer:
2d<10 or 10>2d
Step-by-step explanation:
Answer:
2d < 10
Step-by-step explanation:
of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.
La respuesta de tu división es exact
Step-by-step explanation:
Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564
simplify the following
Answer:
D. 64 z^ 2
Step-by-step explanation:
Simplify the expression.
PLEASE ANSWER!! Quadrilateral PQRS is shown on the coordinate plane.
Answer:
i have no idea
dont spam "please answer" its not cool
List the following in order from least to greatest 20,2-2,(-2)2,-22
Answer:
(-22) ,- (2)2 , 2-2 , 20
Step-by-step explanation:
negative then postive
20
2-2=0
(-2)*2=(-4)
-22
hope this helps :)
brainliest?
which is the best estimate of -14 1/9 × -2 9/10
Answer: 42
Step-by-step explanation:
-14 1/9 would round to -14
-2 9/10 would round to -3
-14 x -3= 42
find the slope of the line passing through the points (-2,-8) and (7,-8)
Answer: 0/9
Step-by-step explanation: Hi there!
First, we have to put the points into the y2-y1/x2-x1 form.
Take the y value from the second point (-8) and the first point y value (-8)
and subtract.
-8 - (-8)
to get 0
Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.
7 - (-2)
to get 9
so when we put that together...
we get 0/9
So the answer is 0/9.
Hope this answer helps you!
Evaluate 6x – y if x = 5 and y = 8.
3
22
43
57
Answer:
the answer is 22
Step-by-step explanation:
you just need to plug in the values of x and y so...
6(5)-8
30-8
=22
DUE TODAY AT 12! PLS HELP ALGEBRA WILL GIVE BRAINLIEST!
Answer:
Im gonna go with b not 100% tho
Step-by-step explanation:
1/3 of the 12 pencils were broken.How many pencils were broken
Answer:
4
Step-by-step explanation:
You can multiply 1/3 by 4 to equal 12 giving you your answer
Answer:
Step-by-step explanation:
4 pencils were broken
1/3 * 12 is 4
Which one?
A. B. C. or D?
Answer:
I think that the answer is D
Step-by-step explanation:
Solve for m: 2m + 5-3m = 7
Answer:
m=-2
Step-by-step explanation:
Answer: m = -2
Step-by-step explanation:
Simplify 2m + 5 - 3m to -m+ 5
-m + 5 = 7
Regroup terms.
5 - m = 7
Subtract 5 from both sides.
-m = 7 - 5
Simplify 7 - 5 to 2
-m = 2
Multiply both sides by -1
m = -2