Answer:
y=(1/3)x- 4/3
Step-by-step explanation:
If two lines are perpendicular to each other, then the slopes will be the negative inverse to each other.
Example:
the negative inverse of 2 is -1/2
the slope of [tex]y=-3x+2[/tex] is -3
the negative inverse of -3 is [tex]\dfrac{1}{3}[/tex]
So we have the perpendicular line be :[tex]y=\dfrac{1}{3}x+b[/tex]
Since it also go through (4,0)
plug in we get [tex]0 = \dfrac{4}{3}+b[/tex]
[tex]b=-\frac{4}{3}[/tex]
So the equation would be
[tex]y=\frac{1}{3}x - \frac{4}{3}[/tex]
determina la ecuacion de la recta cuyas intersecciones con los ejes x e y se indican respectivamente A(7,0) Y B (0, -4)
Answer:
y = 4/7 - 4
Step-by-step explanation:
Slope = (-4-0) / (0 - 7) = -4/-7 = 4/7
y-intercept: -4 - (4/7)(0) = -4
Find the sale price of the item. Round to two decimal places if necessary. Original price: $85.00 Markdown: 33% The sale price is $ .
Answer:
the marked down price is 56.95
Step-by-step explanation:
The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points.
Roberto's game
Number of stars Total points
888 121212
101010 151515
141414 212121
? ?
A row of values is missing in the table.
Which numbers of stars and total points could be used as the missing values in the table?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
222 stars and 333 points
(Choice B)
B
666 stars and 444 points
(Choice C)
C
161616 stars and 242424 points
(Choice D)
D
121212 stars and 181818 points
(Choice E)
E
444 stars and 555 points
Answer:
acd
Step-by-step explanation:
Consider the equation x3 + 2x = 5.
The above equation cannot have two real roots because:
1. The Mean Value Theorem is not applicable to f on x € [0,2].
2. The Intermediate Value Theorem is not applicable to f on x € (0,2).
3. f'(c) has no real roots.
4. f'(c) has only one real root.
5. All of the other options are incorrect.
Câu A. Một sợi dây không giãn, khối lượng dây không đáng kể, được vắt qua một ròng rọc cố định. Hai đầu dây buộc hai vật có khối lượng tương ứng là m1 =500g và m2 <m1. Sau 2 (s) kể từ lúc bắt đầu chuyển động, hệ vật đi được 400 (cm). Tính m2 và sức căng của dây.
Pls help i am bad at math
Answer:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
Reflect over the y axis; dilate by a scale factor of 2.
==================================================
Explanation:
Let's focus on the bottom-most points of each rhombus. For rhombus A on the left, that point in question is (-3,1). For rhombus B, that corresponding lowest point is (6,2).
If we were to reflect rhombus A over the y axis, then (-3,1) would move to (3,1). Simply swap the sign of the x coordinate while keeping the y coordinate the same. Now compare (3,1) to (6,2). Notice that we can multiply each coordinate of (3,1) by the scale factor 2 so that we jump to (6,2)
[tex](3,1) \stackrel{\text{mult by 2}}{\longrightarrow} (6,2)[/tex]
This "multiply by 2" operation is done to each point of the reflected blue rhombus so that we end up with the green rhombus after all is said and done. Also, this trick of multiplying the coordinates by the scale factor only works if the center of dilation is the origin.
In short, we do two things:
reflect over the y axismultiply each coordinate, of each point, by the scale factor 2which allows us to go from blue (rhombus A) to green (rhombus B)
What is the distance from point A to point C?
A) 4 units
B) 5 units
C) 8 units
D) 9 units
Answer:
C) 8 unitsStep-by-step explanation:
Hope it Helps you!!Can anybody help me on this question? Will give brainiest
Answer:
273ft²
Step-by-step explanation:
Fabric needed
= 2([tex]\frac{1}{2}[/tex]×7×6) + 3(7×11)
= 42ft² + 231ft²
= 273ft²
Can someone plz check this? Ik this is odd lol
Answer:
You're correct
Step-by-step explanation:
Have a good day :)
What is the value of the expression when a = 5 and b = 2?
What is the Slope of the line that passes through points (4.-2) and (3, 1)?
A 2.
B 3
C -2
D -3
Step-by-step explanation:
x1=4,x2=3,y1=-2,y2=1
slope= (y2-y1)/(x2-x1)=(1+2)/(3-4)=-1/3
Answer:
Option D. slope = -3
Step-by-step explanation:
[tex]m=\frac{1-(-2)}{3-4} =\frac{3}{-1} =-3[/tex]
Hope this helps
Use the substitution method to determine the solution type of the following system.
3y - 6x= 3
y = 2x + 1
a Infinitely many solutions
b (2,0)
c (3, -1)
d No solutions
The answer to this is C I think, I'm usually always correct so trust me k?
a bag of candy contains 5 purple jolly rangers 8 blue jolly rangers 6 red jolly rangers what is the ratio of purple jolly rangers to blue or green jolly rangers
Answer:
purple to blue - 5:8
I think you meant green is red
purple to red - 5:6
Step-by-step explanation:
Find the percent increase. Round to the nearest percent.
From 15 friends to 17 friends
Answer:
13%
Step-by-step explanation:
Subtract 15 from 17 to find the increase -
17 - 15 = 2
Divide 2 by the original friend amount -
2/15 = 0.133
Multiply 0.133 by 100 to find the percent -
13.3
Round to the nearest percent:
13% increase
Can anyone help me pls?
Answer:
a. What is asked: How many miles did she ride on Monday and Tuesday together?
b. What are the given facts: On Monday, she rode 1/5 of a mile, and on Tuesday she rode 2/5 of a mile.
c. What is the operation to be used: Addition
d. What is the number sentence: 1/5 + 2/5
e. What is the solution: 1/5 + 2/5 = 3/5
f. What is the complete answer: 3/5 of a mile
Which has the greater surface area? A 6-centimeter cube or a rectangular prism with a 3
centimeter square base and a height of 12 centimeters?
Answer: 6 centimeter cube
Step-by-step explanation: Based on wideness.
The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than or greater than ounces will be classified as defects. What is the probability of a defect (to 4 decimals)
Answer:
The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 10.664
Step-by-step explanation:
^
Question
Express the inequality x > -1 using interval notation
Step-by-step explanation:
x > -1
x = {0,1,2,...}
[tex] \lang -1,+\infty \rang[/tex]
If using the method of completing the square to solve the quadratic equation
x2 + 5x – 21 = 0, which number would have to be added to "complete the
square"?
Answer:
Step-by-step explanation:
ax² + bx + c = y
x² + 5x – 21 = 0
First make sure the (a) term = 1... It is.
Get (c) to zero or blank by adding or subtracting as needed.
x² + 5x – 21 + 21 = 0 + 21
x² + 5x = 21
Add the square of half of the b term to each side
x² + 5x + (5/2)² = 21 + (5/2)²
x² + 5x + (5/2)² = 27.25
rewrite the left side as a square
(x + 2.5)² = 27.25
square root of each side
x + 2.5 = ±√27.25
isolate x
x = -2.5 ±√(27.25)
x ≈ 2.72 or -7.72
Answer:
[tex]\frac{25}{4}[/tex] = 6.25
Step-by-step explanation:
x² + 5x - 21 = 0 ( add 21 to both sides )
x² + 5x = 21
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] = 21 + [tex]\frac{25}{4}[/tex]
(x + [tex]\frac{5}{2}[/tex] )² = [tex]\frac{109}{4}[/tex]
In a group of 48 chilldren there are three times as many boys as girls how many girls are there?
Answer:
12 girls
36 boys
Step-by-step explanation:
Answer:12 girls
Step-by-step explanation:
3 Shares boys (Due to it being 3 times more) 1 Share girls
3 Shares boys + 1 Share girls= 4 Shares
48 / 4 Shares = 12
Girls are 1/4 of the 48
so there are 12 girls
please help i'll mark brainliest
Answer: m∠1 = 90°
Step-by-step explanation:
6.
Write an equation for each translation of y = |x| .
5.5 units right
A. y = | x | + 5.5
B. y = | x | – 5.5
C. y = | x – 5.5 |
D. y = | x + 5.5 |
Answer:
C. y = | x – 5.5 |
Step-by-step explanation:
y = f(x) + n - moves the graph n units up
y = f(x) - n - moves the graph n units down
y = f(x + n) - moves the graph n units to the left
y = f(x - n) - moves the graph n units to the right
5.5 units to the right
y = f(x - 5.5) = |x - 5.5|
...................................................................................................................................................
The cost for a ticket to a play changes based on where
the seat is located. The $225 front-row seats cost three
times as much as a balcony seat. How much do four
balcony seats cost?
$224
$300
$450
$900
Answer:
$300
Step-by-step explanation:
Front row: $225
Front row = 3 * balcony
225 = 3 * balcony
balcony = $225/3 = $75
One balcony ticket costs $75.
4 balcony seats = 4 * $75 = $300
Answer: $300
A rental car agency charges $210.00 per week plus 0.25 per mile to rent a car. How many miles can you travel in one week for $347.00
Answer:
548 miles
Step-by-step explanation:
O.25m + 210 = 347
0.25m = 347 - 210
0.25m = 137
m = 137/0.25
m = 548
7.
Write an equation for each translation of Y = |x| .
10.5 units left
A. y = | x – 10.5 |
B. y = | x | – 10.5
C. y = | x | + 10.5
D. y = | x + 10.5 |
Answer:
D. y = | x + 10.5 |
Step-by-step explanation:
The + inside of an absolute value equation really means -.
So there will be a horizontal shift left by 10.5 units.
Answer:
D. y = | x + 10.5 |
Step-by-step explanation:
We are given that,
The parent function is .
Now, the parent function is shifted 10.5 units to the left.
Since, shift of a function f(x) by 'k' units to the left changes the function to f(x+k).
So, the new function is given by .
Hence, option D is correct.
Question: adding unlike fractions
3/7 + 3/21
Step-by-step explanation:
first, find a common denominator
3/7 = 9/21
3/21 stays the same.
then, add
9/21 + 3/21 = 12/21
and if possible, simplify
12 and 21 are both divisible by 3, so divide by 3.
12/3= 4, 21/3=7
so, 3/7 + 3/21 = 4/7
Answer:
4/7
Step-by-step explanation:
The fraction 3/21 can be simplified. The 3 divides 21 which 7, so the fraction can be written as 1 /7. Now, we just have:
3/7 + 1/7
We need to add the numerators to get one fraction:
4/7
what kinds of triangles can you use the pythagorean theorem on
Answer:
Step-by-step explanation:
The Pythagorean theorem applies to right angled triangles only.
However, for any other triangle, by dropping a perpendicular from any vertex on to the opposite side, you form two right angled triangles both of which can be solved by the Pythagorean theorem.
So, the Pythagorean theorem applies to right angled triangles directly and to other triangles indirectly.
9514 1404 393
Answer:
right triangles
Step-by-step explanation:
The Pythagorean theorem relates the side lengths of a right triangle.
c² = a² +b² . . . . . . . . for legs 'a' and 'b' and hypotenuse 'c'
__
Additional comments
The more general form of the relation between side lengths of a triangle is given by the Law of Cosines:
c² = a² +b² -2ab·cos(C) . . . . for sides 'a', 'b', and 'c' with angle C opposite side 'c'
You will notice this reduces to the Pythagorean relation when C = 90°.
__
Triples of integers that satisfy the Pythagorean relation are called Pythagorean triples. The smallest set (and the only sequential set) of these is (a, b, c) = (3, 4, 5). Other triples commonly seen in math problems are (5, 12, 13), (7, 24, 25), (8, 15, 17), and multiples of these.
ATMOSPHERIC SCIENCE The troposphere extends from the Earth's surface to a height of 6-12 miles, dependin
on the location and the season. If a plane is flying at an altitude of 5.8 miles, and the troposphere is 8.6 miles deep in
that area, how much higher can the plane go without leaving the troposphere?
Answer:
2.8 Miles
Step-by-step explanation:
You subract 5.8 from 8.6 to get the answer.
Decide whether the given number is a solution of the given equation.
Is - 7 a solution of x + 12 = 19?
Answer:
No
Step-by-step explanation:
-7+12=5
Answer:
[tex]x=7[/tex]
-7 is not a solution for [tex]x+12=19[/tex]
Step-by-step explanation:
[tex]x +12 = 19[/tex]
Subtract 12 from both sides
[tex]x = 19-12[/tex]
Subtract 12 from 19 to get 7
[tex]x = 7[/tex]
It would be -7 if it was [tex]-x+12=19[/tex]
4% ( 3+z)= 6/5
what is z?
Answer:
1/12
Step-by-step explanation:
1/12
Step-by-step explanation:
3/4 + z = 5/6
Subtract 3/4 from each side
3/4 -3/4+ z = 5/6-3/4
z = 5/6 -3/4
Get a common denominator of 12
z = 5/6 *2/2 -3/4 *3/3
z = 10/12 - 9/12
z = 1/12
what is 3.13 as a fraction
Answer:3.13/1
Step-by-step explanation:
