Simply substitute the value of 3 given. In other words,
f(3) is the function of
f(x), however, in this case, x is 3
f(3)=3(3)−4
Distribute 3 through the parenthesis
f(3)=9−4
Simplify
f(3)=5
Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line p and labels two points on the line as (0, a) and (b, 0). Enter the answers, in simplest form, in the boxes to complete the proof. The slope of line p is . Rotate line p 90° counterclockwise about the origin to get line q. The labeled points on line p map to (−a, 0) and ( , ) on line q. The slope of line q is . The slopes of the lines are opposite reciprocals because the product of the slopes is .
Answer:
Slope of p = -a/b
(0, b) is on line q
Slope of q = ( b - 0) / (0 - -a) = b/a
Product of the slopes = (-a/b) (b/a) = (-ab) /(ab) = -1
I hope this helps (: Have a whimsical day! lol
Solve for the line, Thank you!
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
Bobs new bike has 26 inch diameter wheels.what is the circumference of the new wheel.Give answer to 1 decimal place
Answer:
The circumference of Bob's new wheel is 81.7 inches
Step-by-step explanation:
Circumference of a circle
The circumference of a circle of radius r is given by:
[tex]C=2\pi r[/tex]
The radius is half the diameter:
r = d / 2 = 26 / 2 = 13
r = 13 inch
Now calculate the circumference:
[tex]C=2\cdot\pi\cdot 13[/tex]
Calculating:
[tex]C=81.7\ inch[/tex]
The circumference of Bob's new wheel is 81.7 inches
From the information in the diagram, what is m PHOTO ABOVE
Answer:
107 degrees
Step-by-step explanation:
i just did it
A community center is collecting blankets. The director of the center has asked 135 families to donate 3 blankets each. If 20% of the families donated 3 blankets each, how many blankets did the center collect from these families?
81
27
115
50
Pls pls help
Answer: 81
Step-by-step explanation: 20% of 135= 27, and 27x3=81
If
M
is the midpoint of AB¯¯¯¯¯¯¯¯
A
B
¯
. If A (4, 0)
A
(
4
,
0
)
and M(2, 1.5)
M
(
2
,
1.5
)
, then find the coordinates of B
B
.
Answer:
this question a little confusing but i think its b= when u multiply
Which of the binomials below is a factor of this trinomial? X2 + 8x+16
A. X-4
B. X-8
C. X+4
D. x+8
Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.
Answer:
56
Step-by-step explanation:
Given that:
Number of girls = 3
Number of boys = 4
Each student makes 8 paper airplanes.
To find:
The total number of airplanes = ?
Solution:
There can be two ways to find the total number of airplanes.
Method 1:
Keep on adding the number of airplanes for each student.
There are a total of 3+4 = 7 number of students.
First student makes = 8 airplanes
Second student makes = 8 airplanes
Third student makes = 8 airplanes
Fourth student makes = 8 airplanes
Fifth student makes = 8 airplanes
Sixth student makes = 8 airplanes
Seventh student makes = 8 airplanes
Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
Method 2:
Simply multiply number of airplanes each student makes with the number of students.
i.e. 8 [tex]\times[/tex] 7 = 56
Whitney rode her skateboard at a constant speed. She rode 1 mile in 10 minutes. Which of these equations represents the amount of time, t, in minutes that it takes her to ride the distance, d, in miles?
A. t=d10 B. t=d+10 C. t=10d D. d=10t
Answer:
C. t = 10d
Example:
If i rode the bike for 3 miles then
t = 10(3)
Then,
t = 30
So, the bike was rode for 30 minutes
factor x to the fourth-5x squared+4
Answer:
Work shown below!
Step-by-step explanation:
[tex]x^{4}-5x^{2} +4[/tex] = [tex]0[/tex]
[tex]A[/tex] = [tex]x^{2}[/tex]
[tex]A^{2} -5A+4[/tex] = [tex]0[/tex]
[tex](A-1)(A-4)[/tex] = [tex]0[/tex]
[tex](x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0[/tex]
x - 1 = 0
Add 1 to both sides;
x = 1
x + 1 = 0
Subtract 1 from both sides;
x = -1
x - 2 = 0
Add 2 to both sides;
x = 2
x + 2 = 0
Subtract 2 from both sides;
x = -2
Line a: (0,4) and (6,0)
Line b: (4,−1) and (6,2)
The slope of Line a is Answer
The slope of Line b is Answer
Answer:
Line a slope is -4/6
Line b slope is 3/2
Step-by-step explanation:
This answer is correct, because i did it on edge and go 100% (trust me!)
Solve for z.
3 + 2z = 7
z =
Solve for z.
3 + 2z = 7
z =
Answer: z=2
Step-by-step explanation:
2 x 2 = 4 + 3 = 7
Answer: Okay, the answer is z=2.
Step-by-step explanation: Step 1: Simplify the both sides of the equation: 2z+3=7.
Step. 2: Subtract 3 from the both sides: 2z+3−3=7–3.
Last but not least is step 3. Divide the both sides by 2: 2z/2=4/2. So you get z=2. I hoped my step-by-step explanation formula substitution is very helpful, please mark me as Brainliest, and have a happy holidays!!!!!!! :D
The points (2.1, -4.2) and (2.5, -5) form
a proportional relationship. What is the slope of
the line that passes through these two points?
Answer:
m = -2
Step-by-step explanation:
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The slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Recall:
The slope (m) of a line can be calculated using the formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the points that a line passes through are:(2.1, -4.2) and (2.5, -5)
To calculate the slope of the line that passes through both points, let,[tex](2.1, -4.2) = (x_1, y_1)\\\\(2.5, -5) = (x_2, y_2)[/tex]
Plug in the values into the formula:Slope (m) = [tex]\frac{-5 -(-4.2)}{2.5 - 2.1} = \frac{-0.8}{0.4} = -2[/tex]
Therefore, the slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Learn more here:
https://brainly.com/question/18047340
PLEASE HELP This is solving Exponential and Logarithmic Equations I got the other ones, but I don’t even know what this says to be honest please help.
Answer:
Step-by-step explanation:
We have
[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]
[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]
[tex]x = 2.929947041[/tex]
to the third decimal is 2.930 (i might be wrong on the rounding part)
will give brainlist
Answer:
y=24 x=33
Step-by-step explanation:
Example: ⇒
y
=
k
x
to find k use the given condition
y
=
−
24
when
x
=
8
y
=
k
x
⇒
k
=
y
x
=
−
24
8
=
−
3
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
−
3
x
2
2
∣
∣
∣
−−−−−−−−−−−−−−
when
x
=
10
then
y
=
−
3
×
10
=
−
30
Find the slope of line
Answer:
2/4
Step-by-step explanation:
rise/run
go up (rise) 2, run 4
2/4
Estimate the solution of the system of equations. Write the answer as an ordered pair.
Answer:
Solution of the given system of equations is (1, 2.5)
Step-by-step explanation:
From the graph attached,
Two intersecting lines represent the system of equations.
And the solution of the system of equations is a common point where these lines intersect.
Graph shows both the line are intersecting each other at (1, 2.5).
Therefore, solution of the given system of equations will be (1, 2.5).
I REALLY NEED HELP QUICK!
Answer:
y=1/2x-5
Step-by-step explanation:
From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation
[tex](y_{2} -y_{1})/(x_{2}-x_{1} )[/tex]
We can substitute in the points so it looks like
[tex](-4--5)/(2-0)[/tex] or [tex]1/2[/tex] which is the slope of the function
Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5
Help...... ._. ........ Me
One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubedStep-by-step explanation:
Equation for the volume and solution:
7/8x - 8 = 216 7/8x = 216 + 87/8x = 224x = 224*8/7x = 256 cm³Correct option is D.
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
41.501÷4.7=?
Please help meee
Answer:
8.83
Step-by-step explanation:
there you go i hope it helps
Answer:
8.83
Step-by-step explanation:
evaluate g (x) = 4- 3x when x = -3, 0, and 5
Answer:
13, 4, -11
Step-by-step explanation:
g(-3) = 4-3(-3) = 4+9 = 13
g(0) = 4-3(0) =4-0 = 4
g(5) = 4-3(5) = 4-15 = -11
What is 3 divided by 5/6
Answer:
3.6
Step-by-step explanation:
3÷5/6=3×6/5=18/5=3.6
Answer:
3.6
Step-by-step explanation:
or infraction form 3 3/5
Which of the following numbers is not a perfect square?
a. 49
b. 121
c. 125
d. 144
Answer:
C. 125Step-by-step explanation:
49 = 7×7 ← a perfect square
121 = 11×11 ← a perfect square
144 = 12×12 ← a perfect square
but:
125 = 5×5×5 = 5√5×5√5 and 5√5 is not integer so 125 is not a perfect square
Answer:
C. 125
Step-by-step explanation:
source: trust me bro
At the coffee shop the price of a price of a cup of coffee increased from 1.20 to 1.44 what is the percent increase in the cost of coffee
Answer:
20%
Step-by-step explanation:
1.2*1.2=1.44
2 (x - 2/3) = 0
solve for x
Answer:
x = 2/3
Step-by-step explanation:
2(x-2/3)=0
2x-1 1/3=0
2x=1 1/3
Devide both sides by 2
x=2/3
4) Solve Ax + By = C, for y
Answer:Ax + By = C
-ax -ax
-------------------
By = -Ax + C
--- ------------
B B
--------------------
y = -Ax + C
----------
B
Step-by-step explanation:
Answer:
y=c/b-ax/b
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Help me pleaseeeeee!!
Answer:
A
Step-by-step explanation:
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.