Answer:
y + 1 = -2/1 (x - 6)
Step-by-step explanation:
The above equation is written in point slope from. To find the slope of a line perpendicular to another line all you have to do is find the opposite reciprocal to the slope of the original line. The original line's slope is 1/2, the reciprocal is 2/1 and to create the opposite reciprocal you have to change the sign of the slope, so the new slope is -2/1. To finish the rest of the equation you plug in the points given to you in the question.
Answer:
Step-by-step explanation:
First, since the line is perpendicular to the given one, the slopes are negative reciprocals. The slope of the equation we must write is -2.
Now, we can set up point slope form:
y-y1 = m(x-x1)
y + 1 = -2(x - 6)
Now, we can change that to slope intercept form:
y + 1 = -2(x - 6)
y + 1 = -2x + 12
y = -2x -11
Hope this helped :)
Consider the function.
What is the x-intercept of f-^1(x)?
Answer:
(2 1/2, 0)
Step-by-step explanation:
In the picture attached, the complete question is shown.
f(x) = 2 1/2 - 3 1/3 * x
or
f(x) = 5/2 - (10/3)*x
f^-1(x) is the inverse of f(x), which is obtained replacing f(x) by x, and x by y, and solving for y, as follows:
x = 5/2 - (10/3)*y
(10/3)*y = 5/2 - x
y = (5/2)*(3/10) - x*(3/10)
y = (3/4) - (3/10)*x
f^-1(x) = (3/4) - (3/10)*x
at x-intercept, f^-1(x) = 0,
(3/4) - (3/10)*x = 0
(3/4) = (3/10)*x
x = (3/4)*(10/3)
x = 5/2 or 2 1/2
Answer:
d - (2 1/2,0)
Step-by-step explanation:
got it right on edge
Mindy used 160 beads to make 25% of the bracelets needed for her friends. How many bracelets does she need to make all her friends bracelets?
Answer:
640
Step-by-step explanation:
160=25%
25 times 4=100
therefore 160 times 4=100%
PLEASE HELP IM TIMED!!! What is the area of the regular trapezoid below? A trapezoid has a base of 20 inches, height of 8 inches, and top side length of 12 inches.
Steps:
12* 8 = 96 + two side of triangle (32 when combined) is 128.
Description:
We get 12 inches the top side and the length, then we times it by 8 inches that was the height. Answer will equal as 96. Plus the two side for the triangle and when combined 32 answer will equal as 128. So the correct answer for this question is 128 inches squared.
Answer: The area is 128 inches squared.
Please mark brainliest
Hope this helps.
What is the solution of x + [tex]\frac{1}{5}[/tex] (x - 1) = 1?
A. 1
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{2}{3}[/tex]
D. [tex]\frac{5}{3}[/tex]
Answer:
[tex] \boxed{A. \: 1} [/tex]
Step-by-step explanation:
[tex] = > x + \frac{1}{5} (x - 1) = 1 \\ \\ = > x + ( \frac{1}{5} \times x) - (\frac{1}{5} \times 1) = 1 \\ \\ = > x + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = >( x \times \frac{5}{5} ) + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = > \frac{5x}{5} + \frac{x}{5} = 1 + \frac{1}{5} \\ \\ = > \frac{5x + x}{5} = (1 \times \frac{5}{5} ) + \frac{1}{5} \\ \\ = > \frac{6x}{5} = \frac{5}{5} + \frac{1}{5} \\ \\ = > \frac{6x}{ \cancel{5}} = \frac{5 + 1}{ \cancel{5}} \\ \\ = > 6x = 6 \\ \\ = > x = \frac{ \cancel{6}}{ \cancel{6}} \\ \\ = > x = 1[/tex]
Phil starts with gallons of gas in his tank,
Phil uses
of the gas and then fills the tank with 5 gallons.
Which expression represents the amount of gas now in his tank
Graph the function defined by f(x) = |x+ 2].
Answer:
Here is the graph:
Hope it helps......!
Help me plz this is hard will give points
Answer:
C = 14pi
Step-by-step explanation:
C = pi d
The radius is 7 so the diameter is
d = 2r
d = 2*7
=14
C = pi *14
C = 14pi
Answer:
Step-by-step explanation:
we know circumference of a circle = [tex]\pi[/tex]d
here radius = 7 mm
diameter = 2*7= 14mm
therfore circumference = [tex]\pi[/tex] * 14
ie C = 14[tex]\pi[/tex]
therefore 2nd option is the answer
Help idk how to do it
Answer:
b=15
Step-by-step explanation:
360-90=270
270+60=330
360-330=30/2=15
Answer:
The measure of angle b is 15 degrees,
Step-by-step explanation:
Both triangles are isosceles. The inside one is also a right triangle. Since the big triangle is isosceles and the two angles add up to 120 degrees, they also have to be equal, meaning ∠P≅∠R=60 degrees. The inside triangle is also isosceles, meaning that m∠a=60°-b, which 60°-b representing the measure of the last angle in the smaller triangle. Since ∠a and the third angle are congruent, they each have to equal 45°. 60°-45°=15°. The measure of ∠b=15°.
All of the following are equivalent to 3:8 = x : 32 except
8 : 3 = 32 : x
3 : x = 8 : 32
x : 8 = 3 : 32
8 : 32 = 3 : x
Answer:
3:8=x:32
Step-by-step explanation:
3:8=x:32, x=12
but in x:8=3:32 x=0.75
Question 11 (Multiple Choice Worth 1 points) (05.05 MC) The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 2, 3, and the point B is on ordered pair 3, 3. If the area of the rectangle to be drawn is 30 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle? C(3, −2), D(−2, −2) C(3, −3), D(−2, −3) C(−3, 3), D(−3, −2) C(−2, 3), D(−2, −2)
Answer:
C(3, −3), D(−2, −3)
Step-by-step explanation:
The given segment is 5 units long. (You can subtract the coordinates or count the grid squares to see this.)
In order for the area to be 30 square units, the product of length and width must be 30.
30 = 5×width
30/5 = width = 6
The horizontal line that is 6 units below the one shown is at y = -3. That is, the coordinates of C and D will have y-values of -3. Only one answer choice matches.
Answer:
C(3, −3), D(−2, −3)
Step-by-step explanation:
given:F(x)=2x and G(x) =X^2+2 find F/G(-1) A)-2/3
B)-2
C)2/3
Answer:
A) -2/3
Step-by-step explanation:
To find the answer look at what it's asking you to do. (f/g) means to divide f(x) by g(x).
[tex](f/g)(x)=\frac{2x}{x^2+2}[/tex]
Now you need to find (f/g)(-1). Plug in -1 wherever there is an x and simplify.
[tex](f/g)(-1)=\frac{2*-1}{(-1)^2+2}\\ (f/g)(-1)=\frac{-2}{1+2}\\ (f/g)(-1)=\frac{-2}{3}[/tex]
Your answer is -2/3
Place the indicated product in the proper location on the grid. (x + y)(x2 - xy + y2)
Answer:
25x +3
Step-by-step explanation:
Answer:
x^3 + y^3
Step-by-step explanation:
Hope this helps.
simplify (3x^2)^6 PLZ I NEED IT FAST! I WILL GIVE BRAINLIEST!
Answer:
729x^12
Step-by-step explanation:
3x^2*3x^2*3x^2*3x^2*3x^2*3x^2
Your mom is taking you shopping at the mall. She has $78 to spend on you. You already know that $18 of that money is for your school backpack. You need to get 2 shirts and 2 pairs of pants for your school uniform. The pants and the shirts cost the same amount for each. How much does each shirt or pair of pants cost?
Answer:
each coat $15
Step-by-step explanation:
$78-$18 divided by 4 =15
hope this helps :)
Answer:
The answer is that each shirt and pair of pants costs 15$
Step-by-step explanation:
So you have 78$, and you already need to buy a backpack so then you have 60$ dollars because the backpack is 18$, and 2 shirts and 2 pairs of pants is 4 pieces of clothing in all, 60$ divided by 4 pieces of clothing equals 15$ per piece of clothing (78 - 18 = 60 divided by 4 = 15)
One tool used in genetics is called a pedigree chart,are there any advantages to using this tool?The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.
Answer:
A = 236,000 (1.04)^t
population in 2009 : 335,902 people
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) = 4/100 = 0.04
t= years passed from 2000
A = population after t years
Replacing with the values given:
A = 236,000 (1+ 0.04)^t
A = 236,000 (1.04)^t
Population in 2009.
t = 2009-2000 = 9
A = 236,000 (1.04)^9
A = 335,902 people
Feel free to ask for more if needed or if you did not understand something.
Which of the following equations can be used to find the length of BC in the
triangle below?
B
10
А
130
c
O A. BC = 30 - 10
O B. BC = 30 + 10
O C. (BC)2 = 302 - 102
O D. (B92 = 102 + 302
Answer:
BC² = 10² + 30²
the answer is D
The length of BC can be founded by the equation (BC)² = 30² + 10².
Pythagoras Theorem:In a Right angle triangle, the square of the length of the hypotenuse is equal to the sum of the square of length of the other two sides.For eg, In a right-angle triangle ΔABC, ∠A = 90°Thus, option D is the correct option.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
If f(x) = 3x - 1, find f(10).
The answer is 29
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
Answer:
29
Step-by-step explanation:
3(10)-1
30-1
29
The ratio x:y is 3: 1 Which of the following statements is correct? A x is 3/4 of y B y is 1/3 of x C x is 1/3 of y D y is 1/4 of x
Answer: i say B is correct
Answer:
i think it's C i may be wrong
Step-by-step explanation:
Explain how you can solve the following scenario in two different ways. I owe my friend $16 and my mom owes me $25. how much money will I have after all is settled?
Answer:
$9
Step-by-step explanation:
Given I owe my friend $16 and my mom owes me $25
step 1-->take back money from mom
Mom gives back you $25
Now you have $25
Step 2: return the money you owe to friend
you owe $16
You have $25 and return $16
Thus , money you will have = money you have - money you return
money you have = $25 - $16 = $9
Thus, you will have $9 , after all is settled.
Dya had an account balance of $532.00 in her checking account. Over the next month, she deposits $210.00, pays her annual credit card fee of $25.00, and makes ATM withdrawals of $300.00 and $60.00 from an ATM that charges a $2.50 fee per transaction. What is her account balance at the end of the month?
Enter your answer as a dollar amount, such as: $21.00.
FOR A TEST, PLEASE HELP Two angles are supplementary if their sum is 180°. The larger angle measures three degrees more than twice the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. The smaller angle measures ? degrees. The larger angle measures ? degrees.
Step-by-step explanation:
I think writing the given out helps a bit.
x = small angle
2x+3 = large angle <-- it's 2x since it's twice the small angle and +3 because it's 3 degrees more than the small angle.
small angle + large angle = 180
Now just substitute!
[tex]x+(2x+3)=180\\3x=177\\x=\frac{177}{3} \\x=59[/tex]
Now that you know what x equals (aka the smaller angle) now you can find the larger angle.
[tex]2(59)+3\\118+3\\121[/tex]
Answer:
The smaller angle equals 59°
The larger angle equals 121°
Good luck!
Blue Ray's computer sales totaled $59,500 last month. She receives a commission rate of 15% on all sales. What commission did she earn? *
Answer: $8,925
Step-by-step explanation:
Convert 15% to decimals. You can do this by dividing by 100.
[tex]\frac{15}{100}=0.15[/tex]
Now, take the total amount of the sales and multiply it by this decimal.
[tex]59,500*0.15=8925[/tex]
Simplify the expression completely. −4g+8−5+ 2g
Answer:
-2g+3
Step-by-step explanation:
-4g + 8 - 5 + 2g
= (-4g+2g) +(8-5)
= (2-4)g + 3
= -2g +3
This equation is simplified as you can't solve it further
Answer:
-2g + 3
Step-by-step explanation:
Add like terms (-4g and 2g, 8 and -5), like so:
-4g + 2g = -2g
8 - 5 = 3
Put it all together:
-2g + 3
Write the explicit rule,
Answer:
[tex]a_{n}[/tex] = 20n + 12
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 52 - 32 = 72 - 52 = 92 - 72 = 20
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 32 and d = 20, thus
[tex]a_{n}[/tex] = 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table. The “?” in the table represents the number (blank) because the average rate of change on every interval of the function is (blank).
Answer:
The answers to the blanks are:
381/3The “?” in the table represents the number 38 because the average rate of change on every interval of the function is 1/3.
Step-by-step explanation:
How you can see in the table, after the first values [x=-2, f(x)=5], each time that x add 1, f(x) add 3, (that is the reason why the average rate is 1/3), how you can see below:
2. x = 2 (were added 4 to the first number -2)
f(x) = 17 (were added 12 to the first number 5)
3. x = 5 (were added 3 to the second number 2)
f(x) = 26 (were added 9 to the second number 17)
4. x = 9 (were added 4 to the third number 5)
How in the last column were added 4, you must multiply this value by 3 (remember the average rate), so 4*3 = 12, now:
f(x) = 38 (were added 12 to the third number 26)
Solve for the variable "d" in the following equation.
[tex]F=\frac{Gm_1 m_2}{d^2}[/tex]
[tex]F = \frac{Gm_{1}m_{2} }{d^{2} }[/tex]
F x [tex]d^{2}[/tex] = G[tex]m_{1}m_{2}[/tex]
[tex]d^{2}[/tex] = [tex]\frac{Gm_{1}m_{2}}{F}[/tex]
d = ±[tex]\sqrt{\frac{Gm_{1}m_{2}}{F} }[/tex]
Since "m1" and "m2" represent different masses, we can change them to different letters. This will make it easier to solve.
m1 = m
m2 = n
F = G*m1*m2/d^2 → F = Gmn/d^2
Steps to solve for d:
F = Gmn/d^2
~Multiply d^2 to both sides
d^2 * F = d^2 * Gmn/d^2
~Simplify
d^2 * F = Gmn
~Divide F to both sides
d^2*F/F= Gmn/F
~Simplify
d^2 = Gmn/F
~Take the square root of both sides
√d^2 = ±√Gmn/F
~Simplify
d = ±√Gmn/F
Since we are done solving for d, we can input "m1" and "m2" to replace "m" and "n".
d = ±√Gmn/F → d = ±√G*m1*m2/F
Therefore, the answer is [ d = ±√G*m1*m2/F ]
Best of Luck!
In the graph below, find the coordinate of the image point. O is the origin and P is the point (4, 3). R x and R y are reflections around the x- and y- axes.
Complete the following:
R x D o, 2 : (2,4)
(4, -8)
(-4, 8)
(-4, -8)
Answer:
(-4,-8)
Step-by-step explanation:
A stack of boards is 6 ft. high. Each board is 4 in. thick. How many boards are in the stack?
Answer:
18 Boards
Step-by-step explanation:
Convert 6ft into inches,
[tex]6*12=72[/tex] (inches high stack)
Divide the result by four (the height of each board),
[tex]72/4=18[/tex]
Circumference and area of a circle (picture provided)
Answer:
B
Step-by-step explanation:
The formulas we need are below:
C=dπ
A=r²π
d=2r
Plug in the values.
d=12
C=12π
A=36π
C=12(3.14)=37.68
A=36(3.14)=113.04
B matches
solve for s
13s - 8s - -19 = 4
S =
Answer:
s = -3
Step-by-step explanation:
13s - 8s - -19 = 4
Combine like terms
5s +19 = 4
Subtract 19 from each side
5s +19-19 = 4-19
5s = -15
Divide by 5
5s/5 = -15/5
s = -3
Answer:
-3
Step-by-step explanation:
1) combine like terms:
5s--19=4
5s+19=4
subtract 19 from both sides:
5s=-15
s=-3
Hope this helps!
