Answer:
AB/AD = AD/AC
Step-by-step explanation:
From the triangle given, we can get the required expression to calculate CD using the altitude theorem as shown:
AB/CB = CB/DB (Hypotenuse/Adjacent side using the similar triangle ABC and CDB)
AB/AC = AC/AD (Hypotenuse/Opposite side using the similar triangle ABC and ACD)
BD/CD = CD/AD (Adjacent/Opposite side using the similar triangle BCD and ACD)
Hence the odd one out will be option C AB/AD = AD/AC (since there is no altitude CD in the expression)
Answer:
AB/AD = AD/AC
Step-by-step explanation:
Had it on my quiz
Second time I’ve posted this. Please help!! :)
Answer:
-2 is an extraneous solution because it creates 0 in the denominator.
There is one acceptable solution to the equation
Step-by-step explanation:
x² + 5x + 6 = x² + 2x + 3x + 6
= x(x + 2) + 3(x + 2)
= (x + 2)(x + 3)
[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]
x² + 3x + 2 = 5x + 10
x² + 3x - 5x + 2 - 10 = 0
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x(x + 2) - 4(x + 2) = 0
(x + 2)(x - 4) = 0
x +2 = 0 or x - 4 = 0
x = - 2 or x = 4
Let’s think about another type of scenario. What if you were told that a bracelet requires 10 beads and 10 minutes to make while a necklace requires 20 beads and takes 40 minutes to make. The craftsman has 1000 beads to work with and he has 1600 minutes in which to work. If a bracelet costs $5 and a necklace costs $7.50, what is the maximum revenue that the craftsman can take in?
Answer:
$425
Step-by-step explanation:
Let x represent the number of bracelets made and let y represent the number of necklace made.
Since the craftsman has 1000 beads to work with, hence:
10x + 20y ≤ 1000 (1)
Also, the craftsman has 1600 minutes, hence:
10x + 40y ≤ 1600 (2)
From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).
Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:
Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425
Write the expression a 15 as a product of two exponents with the same base, one of
which equals:
a^6
Answer:
[tex]a^{6} a^{9} = a^{15}[/tex]
Step-by-step explanation:
is this the question ///
Write the expression a^15 as a product of two exponents with the same base, one of which equals: a^6
if so ...
[tex]a^{6} a^{9} = a^{15}[/tex]
A parabola can be represented by the equation y2 = 12x.
Which equation represents the directrix?
O y=-3
O y=3
O X=-3
O x= 3
Answer:
It's C
X = -3
Step-by-step explanation:
Edge 2022
The equation represents the directrix is x=-3.
the correct option is (C).
what is directrix in parabola?A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.
given: y²=12x
y²=4*3*x
Here a=3
So, x+a=0
x+3=0
x=-3.
Hence, the directrix of parabola is: x=-3
Learn more about directrix here:
https://brainly.com/question/4333610
#SPJ2
What set of reflections would carry trapezoid ABCD onto itself?
y=x, x-axis, y=x, y-axis
x-axis, y=x, x-axis, y=x
y-axis, x-axis, y-axis
x-axis,y-axis,y-axis
HELP PLEASE: GEOMETRY
a. dilation
b. translation
c. reflection
d. rotation
e. none of these answers are correct
would it be best to go with b or e?
Answer:
b translation
Step-by-step explanation:
Dilation means that it gets bigger or smaller
translation means a shift
reflections means that it flips across a line of symmetry
rotation means that it rotates across a point
We shifted the figure down and to the right. It appears to be the same size and shape
I would go with a translation
help pls with explanation!!!
Answer:
18c - 30d + 36
Step-by-step explanation:
To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.
6(3c - 5d + 6)
(6 · 3c) + (6 · -5d) + (6 · 6)
18c + -30d + 36
As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is 18c + -30d + 36.
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic
Answer:
Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.
Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.
Can someone help me with this math homework please!
Answer:
The third table
Step-by-step explanation:
When a function decrease over a interval, the numbers between the interval and the latest interval included must be lesser than the original first interval.
In other words, the y value for -2 must be greater than the numbers between 0 and -2 in order for the interval be decreasing.
The third table show that
please help finding x ASAP
Angle 2 and Angle 4 are same-side interior angles, which are supplementary.
(2x + 10) + (4x + 80) = 180
6x + 90 = 180
6x = 90
x = 15
Hope this helps!
Answer:
X = 15
Step-by-step explanation:
Angle 2 = Angle 3 since they are alternate angles
Now, angle 3 and 4 should add up to 180 since they are on a straight line
∴ (2x + 10) + (4x + 80) = 180
6x + 90 = 180
6x = 180 - 90
6x = 90
x = 15
HOPE THIS HELPS
What is the value of x?
Answer:
8
Step-by-step explanation:
Use Basic Thales theorem,
[tex]\frac{24}{x}=\frac{36}{12}\\[/tex]
Cross multiply
24 * 12 = 36 * x
[tex]x = \frac{24*12}{36}\\\\[/tex]
x = 8
(05.05) Which scenario best matches the linear relationship shown in the table?
Weeks Dollars
0 10
2 20
4 30
6 40
• Shanna had $10 in her piggy bank and earned $10 each week in allowance.
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
• Shanna had $10 in her piggy bank and spent $5 each week on stickers.
• Shanna earns $10 each week.
Answer:
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
Step-by-step explanation:
Week 0 dollars = 10
This means Shanna had $10 her piggy bank before the week started
Week 2 dollars = 20
Her account has increased from 10 to 20 dollars in two weeks. This means she is earning
Amount earned per week = change in earnings / change in week
= 20 dollars - 10 dollars / Week 2 - week 1
= 10 dollars / 2 weeks
= 5 dollars per week
Amount earned per week = $5
Therefore,
• Shanna had $10 in her piggy bank and earned $5 each week in allowance
Answer:
option b
Step-by-step explanation:
cuz its the only one that makes sense
Use a double-angle or half-angle identity to find the exact value of each expression
If 180° < θ < 270°, then 90° < θ/2 < 135°, which places θ/2 in the second quadrant so that sin(θ/2) > 0 and cos(θ/2) < 0.
Recall that
cos²(θ/2) = (1 + cos(θ))/2
==> cos(θ/2) = -√[(1 + (-15/17))/2] = -1/√17
and
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = +√[(1 - (-15/17))/2] = 4/√17
Then
tan(θ/2) = sin(θ/2) / cos(θ/2)
… = (4/√17) / (-1/√17)
… = -4
2r + st^2 - u, if r = 4, s = 6, t = 3, and u = 12
Answer:
320
Step-by-step explanation:
r = 4, so 2 x 4 = 8.
s = 6 and t = 3, so 6 x 3 = 18. 18 squared is 324.
u = 12, so 8 + 324 - 12, which equals 320.
if there are about 5,000.00 red blood cells in every one cubic millimiter of mrs. garcias blood and there are about 4,600,00 cubic millimiter of blood in her body. How many red blood cells does mrs. gracia has in her body?
Answer:
Step-by-step explanation:
Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes can have the same relative frequency. The relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be less than 1. The sum of the relative frequencies is equal to the number of observations.
Answer:
The relative frequency is found by dividing the class frequencies by the total number of observations
Step-by-step explanation:
Relative frequency measures how often a value appears relative to the sum of the total values.
An example of how relative frequency is calculated
Here are the scores and frequency of students in a maths test
Scores (classes) Frequency Relative frequency
0 - 20 10 10 / 50 = 0.2
21 - 40 15 15 / 50 = 0.3
41 - 60 10 10 / 50 = 0.2
61 - 80 5 5 / 50 = 0.1
81 - 100 10 10 / 50 = 0.2
50 1
From the above example, it can be seen that :
two or more classes can have the same relative frequencyThe relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be equal to one The sum of the frequencies and not the relative frequencies is equal to the number of observations.find the slope of the line for each pair of points (2, -10) (8, -16)
Answer:
-1
Step-by-step explanation:
We can use the slope formula since we are given two points
m = (y2-y1)/(x2-x1)
= (-16- -10)/(8-2)
= (-16+10)/(8-2)
= -6/6
= -1
find the mean of the following 205,208,205,200,210,300,210,180.
The slope of the line is:
A. -6
B.
C. O
D. Undefined
Answer:
The slope is undefined
Step-by-step explanation:
Since x doesn't have an existing value it leaves the slope as undefined.
Delaware Corporation sets up a sinking fund for getting a lump sum. It has borrowed $50,000 for the business at 8% interest. The amount has to be repaid at the end of the fifth year. The sinking fund may earn an interest at 6% compounded monthly. What is the total amount to be invested including the interest payment?
Can someone help me with this math homework please!
Answer:
A ; B ; D
Step-by-step explanation:
(3+1)/12 = 1/3 (ok)
(-5+1)/-2 = -4/-2 = 2 (ok)
(1+1)/-3 = -2/3 (no)
(15+1)/1 = 16 (ok)
(-2 + 1)/5 = -1/5 (no)
Which type of transformation is this?
Answer:
A reflection across the x axis
Step-by-step explanation:
Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'
Consider the function ƒ(x) = –2x – 7 and the function g(x), which is graphed above. Select the correct statement from the options that follow.
a) The function g(x) has a steeper slope than ƒ(x).
b) There isn't enough information to determine which function has a steeper slope.
c) The functions ƒ(x) and g(x) have the same slope.
d) The function ƒ(x) has a steeper slope than g(x).
Answer:
d) The function ƒ(x) has a steeper slope than g(x)
Step-by-step explanation:
We are given that
[tex]f(x)=-2x-7[/tex]
The graph g(x) passing through the point (1.2,0) and (0,4).
Let
y=f(x)=-2x-7
Slope of function f(x)
[tex]m=\frac{dy}{dx}=-2[/tex]
Slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the formula
Slope of g(x)
[tex]m'=\frac{4-0}{0-1.2}[/tex]
[tex]m'=-3.33[/tex]
Slope of g(x)=-3.33<-2
Slope of f(x) is greater than slope of g(x).
Therefore, function f(x) has a steeper slope than g(x).
Option d) is correct.
Answer:
It's not D its A I Just took the test.
Step-by-step explanation:
Good luck!
Find DC, given that line AD is the angle bisector of
Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?
Answer:
The third option with the right angle
Step-by-step explanation:
By creating a perpendicular line through the line of reflection (the orange dotted line) and the point "D" we can measure the distance of D from the line of reflection. Then draw "D'" using the distance of the "D" from the line of reflection.
Which of the following is an example of a quadratic equation?
O A. X+10 - 33
O B. y - 4x+6
OC. x2-64-0
O D. V-746
Hello!
Answer: C. x² - 64 - 0
Good luck! :)
Construct 5 equivalent equations for the equation - 3 + 2x = -4.
Answer:C
Step-by-step explanation:
How would I solve this half life problem?
ASAPppppppppppppppppp
Answer:
9/16
Step-by-step explanation:
3/8 ÷ 2/3
Copy dot flip
3/8 * 3/2
Multiply the numerators
3*3=9
Multiply the denominators
8*2 = 16
Numerator over denominator
9/16
help plsss
If d = c-b / a-n , then wbat is the value of b?
A) c-d / a-b
B) ca-d / ca+d
C) c-ad / 1-d
D) c+ad / d-1