Answer:
A, y= -6x + 2
Step-by-step explanation:
1. Put the equation into slope intercept form
6y = 9 - x
y= -1/6x + 9/6
The slope of equation 1 is -1/6
2. A perpendicular line is the inverse slope of our firsy equation. (-1/6)^-1 = -6.
3. The y intercept of a line in slope intercept form is the b value in the equation as written:
y=mx+b
Therefore, if m=-6 and b=2, our equation is
y= -6x + 2
If you can walk 5.3 miles in 2.5 hours, how many minutes does it take to walk 3.18 miles? Round to 1 decimal.
Answer:
90min
Step-by-step explanation:
we can solve the first part by means of the rule of three:
5.3miles ----2.5 hour
3.18miles----x
then
[tex]x=\frac{3.18*2.5}{5.3} \\x=\frac{7.95}{5.3} \\x=1.5 hours[/tex]
Now we must convert hours to minutes:
1.5 hours = 1.5hours (1)
1.5 hours =1.5 hours [tex]\frac{60min}{1 hours}[/tex]
1.5 hours =(1.5)(60) min
1,.5 hours =90min
Give the common denominator (LCD) OF
Please help me out quickkkkkkkkkkkkkk
Answer:
5 4/7 feet
Step-by-step explanation:
Algebra 2 Checkpoint (A2.F.IF.A2) 20-21
Willard, Gavin
The table represents the height of a baseball, in feet, over time, where t represents the number of seconds.
t (in seconds)
h (in feet)
0
3.5
0.5
18.5
1
25.5
1.5
24.5
2
15.5
What is the average rate of change in height of the baseball over the interval from c = 0.5 to 2 = 2?
-3 feet per second
-2 feet per second
2 feet per second
3 feet per second
Calculator
Answer:
0
Step-by-step explanation:
what are vowels in numbers
hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...
Answer:
the letter "u" and "e"
Step-by-step explanation:
vowels in english are: a, e, i, o, u
hope this helped but if you have any others questions, please feel free to let me know!
Please help me with the problem below thanks
Answer:
I would say get a small ruler thing and measure them off your screen and say (*Measure off my screen*), then say the distance the dots are from the center point is the same because those dots, when connected to the center point, makes the radius, and the radius stays the same around the circle.
Water makes up about 71% of Earth's surface, while the other 29% consists of continents
and islands. 96% of all Earth's water is contained within the oceans as salt water, while the
remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.
If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume
of salt water? What is the volume of fresh water?
Answer:
1330.56
Step-by-step explanation:
96 percent of 1386 is 1330.56
Answer:
Step-by-step explanation:
The question gives you numbers that you don't need to answer the question.
Salt water = 96/100 * 1,386 * 10^6 million km = 0.96 * 1386 * 10^6 = 1330560000 = 1.33056 * 10^9
You can find the fresh water amount by subtracting from 1385 * 10^6 which gives 1386 * 10^6 - 1.33056 * 10^9 = 55 440 000 cubic km
What’s a rationale number ?
Answer:
A Rational Number can be made by dividing two integers.
(An integer is a number with no fractional part.)
Step-by-step explanation:
Answer:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Step-by-step explanation:
Hope this helps. :D
1.5% of a number is 60
Answer:
4000
Step-by-step explanation:
divide 1.5% by 100 to remove the % symbol: 0.015
set you equation: 0.015x = 60
divide both sides by 0.015: x = 4000
Answer:
4000
I checked on RSM system
If r = 18 cm, what is the area of this sector? Express your answer
to the nearest tenth of a centimeter.
A 424.2 cm?
536.2 cm?
1
508.9 cm
834.1 cm?
Answer:
466
Step-by-step explanation:
nnnnnnnn
4.) What is the area of this shape?
Answer:
212
Step-by-step explanation:
How far are 2 and -5 apart on the number line?
what is 3t – 6 = t –2.
Answer:
t=2
Step-by-step explanation:
3t-6=t-2(Group like terms)
3t-t=-2+6
2t=4(Divide both sides by 4)
t=2( This is because when you divide both sides by 2, 2 can divide 4 2 times so that's why we have t as equal to 2)
DONT SCAM ME 100 POINTS ANSWER QUICK
Answer:
c a those are the answers in order
Answer:
D, C, C, A, B, C
Step-by-step explanation:
The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the triangle
Answer:
Shorter leg=3
Longer leg=4
Step-by-step explanation:
Equations
In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:
[tex]a^2=b^2+c^2[/tex]
Let's call
x=the shorter leg of the triangle
The longer leg is 1 cm longer than the shorter leg, thus:
x+1=the longer leg.
Since the hypotenuse is 5 cm long:
[tex]5^2=x^2+(x+1)^2[/tex]
Operating:
[tex]25=x^2+x^2+2x+1[/tex]
Swapping sides and simplifying:
[tex]2x^2+2x+1=25[/tex]
Subtracting 25:
[tex]2x^2+2x-24=0[/tex]
Dividing by 2:
[tex]x^2+x-12=0[/tex]
Factoring:
[tex](x-3)(x-4)=0[/tex]
We have two possible solutions:
x=3, x=4
The longer leg is x+1.
If x=3, x+1=4
If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.
Thus, the solution is:
Shorter leg=3
Longer leg=4
If AABC and AXYZ are similar, which must be true?
Answer:
(D).
Step-by-step explanation:
ΔABC ~ ΔXYZ
(D). [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]
Allyson and Oliver have researched destinations and costs for a class trip. The Great Adventure theme park's entry fee is $15 plus they charge $1.50 at each ride using a Fast Pass. The Big Thicket amusement park charges $25 for its entry fee and $1.00 for each ride using a Fast Pass. To be able to ride all the rides, each student will need a Fast Pass for the day.
How many ride tickets must be purchased with the Fast Pass in order for the total cost at The Great Adventure theme park and The Big Thicket amusement park to be the same?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
20 tickets each will have to bought with fast pass so that the total cost is equal to that of each other.
Step-by-step explanation:
Entry fee for The Great Adventure theme park = $15
Charge for fast pass at each ride = $1.50
Entry fee for The Big Thicket amusement park = $15
Charge for fast pass at each ride = $1.00
Let the number of ride tickets purchased with Fast pass = [tex]x[/tex]
As per question statement, the total cost at each will be equal to that of each other.
Writing in the equation form, we get:
$15 + $1.50 [tex]\times[/tex] [tex]x[/tex] = $25 + $1.00 [tex]\times[/tex] [tex]x[/tex]
[tex]\Rightarrow 1.50x -1.00x = 25 -15\\\Rightarrow 0.50x = 10\\\Rightarrow x = 20[/tex]
Therefore, 20 tickets each will have to bought with fast pass so that the total cost is equal to that of each other.
GR has coordinates g (2, -2) and R (3,8) and it is the result of the
dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM
Answer:
(- 2x , - 2y)
Step-by-step explanation:
A(x, y) ----> A' (kx, ky)
~~~~~~~~
H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2
M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)
k = - 2
Thus, the rule of dilation centered in origin is (- 2x , - 2y)
Minimize F = 3a + 4m if ma = 12. Assume a > 0, m > 0.
Answer:(x +3)
Step-by-step explanation:
F. L. (x + 3) (x – 5)= x · x + (–5) · x + 3 · x + (–3) · 5. I. First. Outer Inner. Last. O. = x 2 – 5x + 3x – 15 ... Suppose Monica's current office is 7 feet by 7 feet. How much ... 12 in. c in. 36 ft. 15 ft c ft ? ft. 30 ft. 15 ft. 2 m. 4 m b m. 882 Prerequisite Skills ... Number of. Sit-Ups. Frequency. 0–4. 8. 5–9. 12. 10–14. 15. 15–19. 6. 20–24. 18.
Answer:
Min value of F = 24
It happens when m = 3 and a = 4.
==========================================================
Explanation:
Start with ma = 12 and Solve for 'a' to get a = 12/m
Plug it into the other equation to get
F = 3a + 4m
F = 3(12/m) + 4m
F = 36/m + 4m
F = 36/m + (4m^2)/m
F = (36+4m^2)/m
The equation above is in the form F = a/b where a = 36+4m^2 and b = m
Applying derivatives to each piece gives a' = 8m and b' = 1
So,
F = a/b
F ' = (a/b)'
F ' = (a' * b - a * b')/(b^2) .... quotient rule
F ' ( 8m*m - (36+4m^2)*1 )/(m^2)
F ' = (8m^2 - 36 - 4m^2)/(m^2)
F ' = (4m^2 - 36)/(m^2)
---------------------
The minimum of F occurs when F ' = 0
F ' = 0
(4m^2 - 36)/(m^2) = 0
4m^2 - 36 = 0*m^2
4m^2 - 36 = 0
4m^2 = 36
m^2 = 36/4
m^2 = 9
m = sqrt(9) or m = -sqrt(9)
m = 3 or m = -3
Keep in mind that m > 0, so we ignore m = -3
---------------------
Next we'll use the first derivative test. I find it's easier compared to the second derivative test because we don't have to do another derivative.
The function F(m) = (36+4m^2)/m has a potential min point at m = 3.
To see if we have an actual min point or not, we need to check the sign of F ' (m) when m = 2 and m = 4; that way we see if F ' (m) changes sign as we pass through m = 3.
First compute the derivative when m = 2
F ' (m) = (4m^2 - 36)/(m^2)
F ' (2) = (4(2)^2 - 36)/(2^2)
F ' (2) = (4*4-36)/(4)
F ' (2) = (16-36)/(4)
F ' (2) = -20/4
F ' (2) = -5
The actual value doesn't matter. All we're after is the sign of it. So we see that F ' (2) is negative which means we know that F(m) is decreasing when 0 < m < 3
Now let's try m = 4
F ' (m) = (4m^2 - 36)/(m^2)
F ' (4) = (4(4)^2 - 36)/(4^2)
F ' (4) = (4*16-36)/(16)
F ' (4) = (64-36)/(16)
F ' (4) = 28/4
F ' (4) = 7
This value is positive, so F(m) is increasing on the interval 0 < m < infinity
F(m) decreases on 0 < m < 3 and increases on 3 < m < infinity
So the F function goes downhill and then goes back uphill, and this lowest valley point is when m = 3
So we've confirmed that F(m) does indeed have a min value at m = 3.
Making a sign chart or interval might help visualize it.
---------------------
Now onto the last part.
Plug m = 3 into F(m) to find the min value of F
F = (36+4m^2)/m
F = (36+4*3^2)/3
F = (36 + 4*9)/3
F = (36 + 36)/3
F = 72/3
F = 24
The smallest F can get is 24 and it happens when m = 3 and a = 12/m = 12/3 = 4.
------------------------------
Side note: A non-calculus approach would have you graphing y = (36+4x^2)/x, and then using the graphing calculator to find the lowest point in the first quadrant. We're in this quadrant since a, m and F are all positive.
2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
plisss helppppppppppñp
Answer:
The value of x is 37.36
Step-by-step explanation:
The given triangle is a right-angled triangle where
Base = 25
Angle = 48°
Hypotenuse = x
As the triangle is a right angled triangle, trigonometric ratios can be used to find the missing value. We can use a ratio which uses base and hypotenuse.
[tex]cos\ 48 = \frac{base}{hypotenuse}\\cos\ 48 = \frac{25}{x}\\0.6691 = \frac{25}{x}\\x = \frac{25}{0.6691}\\x = 37.36[/tex]
Hence ,
The value of x is 37.36
The base of a triangle is 4 cm greater than the height the area is 30 cm² find the height and the length of the base
Answer:
answer is 15 cm²
plz give me the brainliest
Answer:
height = 6 cm
Base = 10 cm
Step-by-step explanation:
Let height = h cm
Base = h + 4
Area of triangle = 30 cm²
[tex]\frac{1}{2}bh = 30\\\\\frac{1}{2}*( h + 4) *h = 30\\[/tex]
Multiply the equation by 2
(h + 4) * h = 30*2
h*h + 4*h = 60
h² + 4h = 60
h² + 4h - 60 = 0
Product = -60
Sum = 4
Factors = 10, (-6)
h² + 10h - 6h - 6 * 10 = 0
h(h + 10) - 6(h + 10) = 0
(h +10)(h - 6) = 0
{Ignore h + 10 = 0 because measurements will not be in negative}
h - 6 = 0
h = 6 cm
b = 6 + 4 = 10 cm
When plotting points on the coordinate plane below, which point would lie on both the x-axis and the y-axis?
O (0,0)
0 (0,6)
O (4,0)
O (1,1)
Answer:
0,0
Step-by-step explanation:
bcbcbb
Answer:
Your answer is 0,0
Step-by-step explanation:
I took the quiz
Worth 75 points!! Need help with calculus
Please help fast please
Answer:
A not similar
Step-by-step explanation:
72 × 2 = 144
78 × 2 = 156
Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. The Dead Sea, in Asia, is the lowest place on Earth. It's elevation is approximately 4.82 times the elevation of Death Valley. What is the approximate elevation of the Dead Sea?
Answer:
1359.24
plz mark brainly
Step-by-step explanation:
List the transformations of the function.
f(x)= 2(-2x+1)2 + 4
Answer:
Transformations of f(x) = ⅙(-2x + 1)² + 4:
vertical compressionreflects across y axishorizontal compressiontranslates lefttranslates upDarnell has 8 coins worth $1.80. If the coins are all quarters and nickels, how many quarters and nickels does he have?
Answer:
7 quarters 1 nickel
Step-by-step explanation:
7 x.25= 1.75
1.75+ .05= 1.80
in jacks class 18 of the students are tall and 10 are short. in Michaels class 54 students are tall and 30 students are short. which lass has a higher ratio of tall to short students
Answer:
uhh what kinda class is that big- anyways
Step-by-step explanation:
jacks class
18:10
If you divide 18 by 10 you get 1.8
Micheals class
54:30
If you divide 54 by 30 you get 1.8
therefore neither. They are both equivalent
the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, in jacks class 18 of the students are tall and 10 are short. in Michaels's class, 54 students are tall and 30 students are short.
The ratio of tall to short students in jacks class = 18/10 = 1.8
The ratio of tall to short students in Micheals's class = 54/30
The ratio of tall to short students in Micheals's class = 1.8
Therefore, the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2
Answer:
A-F parallel to B-D
B-A parallel to D-F
B-F parallel to C-E
Step-by-step explanation:
Line segment A-F is parallel to B-D
Line segment B-A is parallel to D-F
Line segment B-F is parallel to C-E
