Answer:
(-2,0)
Step-by-step explanation:
Plug into a graphing calculator or plug in 0 for x
Using figure at the right, find:
1. BS
2. RS
3. ST
Answer:
1. BS = 4
2. RS = 2√5
3. ST = 4√5
Step-by-step explanation:
Use the right triangle altitude theorem.
Then use the Pythagorean Theorem.
1.
BT/BS = BS/BR
8/BS = BS/2
(BS)² = 16
BS = 4
2.
2² + 4² = (RS)²
RS = √(20)
RS = 2√5
3.
4² + 8² = (ST)²
ST = √(80)
ST = 4√5
Pls help me with this
Answer:
C. x = {1/5, 1}
Step-by-step explanation:
2|6x - 2| = 8x
2(6x - 2) = 8x and 2(6x - 2) = -8x
2(6x - 2) = 8x
12x - 4 = 8x
4x = 4
x = 1
2(6x - 2) = -8x
12x - 4 = -8x
20x = 4
x = 4/20
x = 1/5
what is 3 1/4 - (-5/8)
Answer:
First we need to find a common denominator;
3 1/4 and -5/8 have a common denominator of 8
-5/8 already has 8 now we alter 3 1/4 to have 8 as the denominator as well.
if we make 3 1/4 into an improper fraction we would get 13/4
13/4 x 2/2 = 26/8, because 2 x 4 = 8 so we also apply that to the numerator
Now we have;
26/8 - (-5/8)
the two negatives combine to make a positive:
26/8 + 5/8
= 31/8 which simplifies to
3 7/8
A copy machine can make 360 copies in an hour. How long will it take for the copy machine to make 150 copies?
Answer:
it takes 25 minutes.
Step-by-step explanation:
divide 150 by 6
three consecutive even numbers whose sum is -42
Answer:
-12, -14, -16
Step-by-step explanation:
x + (x+2) + (x+4) = -42
3x + 6 = -42
Isolate the variable 3x by subtracting 6 from both sides
3x = -48
Then isolate the variable x by dividing 3 from both sides
x = -16
Then add 2 for the 2nd number
Then add 4 for the third number
what is 3/4 ÷ 1/8 i trying to study
Answer:
Should be 6
Step-by-step explanation:
it b right or no? am i wrog
Answer:
B is correct. You got it. =D
Answer:
B) part is the correct answer
says find the measure of the indicated angle need to show work!!!! pls help marking brainliest!!!
Answer:
.9
Step-by-step explanation:
sinx=opp/hyp 18/20=.9
10 points
4. An expression is shown. Which is equivalent to this expression? *
4x^4- 16x^2
A. 0 (4x - 2)(x + 2)
B. 4x2(x - 2)(x + 2)
C. x2(x - 4)(x + 4)
D. 4(x2 - 2)(x2 + 2)
The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K
Answer:
x = 30
Step-by-step explanation:
12 : 20 = 18 : x
⇒ 12/20 = 18/x
⇒ 12x = 18 · 20
⇒ 12x = 360
⇒ x = 360 ÷ 12
⇒ x = 30
[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{14}{20}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{7}{10}[/tex]
[tex]\\ \rm\Rrightarrow 7x=210[/tex]
[tex]\\ \rm\Rrightarrow x=30[/tex]
What is the value of v?
help please !!!!!!!!!
Answer:
131 is the answer
PLEASE HELP ME ANSWER THIS QUESTION.... 20 POINTS
Answer is Step-by-step explanation:
The two shorter sides are the legs of the right triangles. Both are given for triangle B. Use Pythagorean Theorem or pythagorean triples(shortcut/special case) to show the missing side of Triangle A is also 5.
leg^2+ leg^2 = hyp^2
x^2 + 12^2 = 13^2
x^2 + 144 = 169
subtract 144.
x^2 = 25
square root both sides.
x = 5
The missing side of Triangle A is 5, same as triangle B.
Just to really show it. Calc the missing side of triangle B
5^2 + 12^2 = h^2
25 + 144 = h^2
169 = h^2
squareroot both sides.
13 = h
The hypotenuse of both triangles is 13. All the measures of all the corresponding sides are the same for these two triangles.
Hope this helps! Please mark Brainliest! tysm!
Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational? (1 point) Yes No
Answer:
yes thats correct
Step-by-step explanation:
Answer:
YesStep-by-step explanation:
Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational?
Simplifying
2√3 - √12 =2√3 - √4*3=2√3 - 2√3=00 is rational, so the answer is Yes
3) Solve the following system by elimination:
3x – 2y = 2
5x - 5y = 10
I
Answer:y=-4 x=-2
Step-by-step explanation:
45% of a number is 180. Find the number
Answer:
400
Step-by-step explanation:
Let the number be known as "x".
Given statement:
45% of a number is 180.
The term "of" defines multiplication between two terms. In this case, the terms are 45% and the number "x". Therefore,
⇒ 45% × x = 180
When we convert a percentage into a fraction, simply divide the percentage by 100 and remove the percentage sign to obtain the result in fraction form.
⇒ 45/100 × x = 180
Multiplying 45/100 and x:
⇒ 45/100 × x = 180
⇒ 45x/100 = 180
Using cross multiplication:
⇒ 45x/100 = 180
⇒ 45x = 180 × 100
Simplifying the right-hand-side:
⇒ 45x = 180 × 100
⇒ 45x = 18000
Dividing 45 to both sides of the equation:
⇒ 45x = 18000
⇒ 45x/45 = 18000/45
⇒ x = 18000/45 = 400
Therefore, the number is 400.
a box is 60 cm long. which of these is closest to the length of this box in feet?
1 inch = 2.54 cm
a. 1.84 feet
b. 1.97
c. 2.54
d. 2.82
Answer:
b. 1.97
Step-by-step explanation:
1cm≈0.032feet
60/0.032≈1.97feet
Tina built a triangular sign with side lengths of 73 inches, 55 inches and 4 feet. Is the sign a right triangle? Why or why not?
Answer:
yes, It's a right triangle.
Step-by-step explanation:
First, lets convert the 4 feet into inches. You get 48 inches. 48 squared plus 55 squared equals 5329 which is equal to 73^2.
Dr. David Smith lived 1/13 of his life as a child. He spent 4/39 of his life preparing for an outstanding
medical career. For 1/ 2 of his life, he was a successful surgeon in a famous children's hospital. Since his
retirement, he has lived 13 years on a comfortable pension. How old is he? (unrealistic answer))
Answer:
40 14/25 years
Step-by-step explanation:
Well, this certainly is fun.
First, to find the fraction of the doctor's life which 13 years represents, subtract the fractions from 1 (and in this case l stands for lifetime):
[tex]13 = (1 - (\frac{1}{13} + \frac{4}{39} + \frac{1}{2}))(l)[/tex]
[tex]13 = (\frac{25}{78})(l)[/tex]
So, multiply this equation by the reciprocal of 25/78 to isolate one of l:
[tex]13(\frac{78}{25}) = l[/tex]
[tex]l = 40\frac{14}{25}[/tex] years
Ike stone earns $566 a week as a teacher. he is single and claims 2 allowances.
The amount of income tax withheld from Ike stone's income is the amount removed from his earnings
Ike stone amount of income tax to be withheld is $28
How to determine the amount of income tax to be withheld?The given parameters are:
Earnings = $566
Allowances = 2
To determine the amount of income tax to be withheld, we make use of the tax table.
$566 is less than $570
From the tax table, the amount of income tax to be withheld for a single whose income is less than $570 and has 2 allowances is $28
Hence, Ike stone amount of income tax to be withheld is $28
Read more about income tax at:
https://brainly.com/question/25109150
What’s the name of the transformation???
Answer:
Dialation
Step-by-step explanation:
Dilation makes the thing bigger or smaller.
Hope it helps!
Which is a factor of x2 8x – 48? (x – 6) (x 4) (x – 16) (x 12)
The factor of the polynomial is be (x+12)
We have given equation is
[tex]x^2+8x-48[/tex]
The middle number is 8 and the last number is -48.
Factoring means we want something like
[tex](x-a)and (x+b)[/tex]
we have to find the value of a and b
Which are two numbers whose addition is 8 and multiplication is -48?
The numbers are (12) and -4
addition=12+(-4)=12-4=8
12(-4)=-48
Therefore we have,
[tex]x^2+8x-48\\x^2+12x-4x-48\\\\x(x+12)-4(x+12)\\(x-4)(x+12)[/tex]
Therefore the given equation has two factor that are (x-4) and (x+12)
Since (x-4) is not in option therefore the answer would be (x+12)
To learn more about the factor visit:
https://brainly.com/question/25829061
Answer:
The factor of the polynomial is be (x+12)
Step-by-step explanation:
Kayla has 8 apples. she wants to give 3 fourths of the apples to her friends.
how many apples will her friends get?
Answer: 6 apples
Step-by-step explanation:
Number of apples divided by denominator times the numerator
8÷4=2×3=6
100x100 what is the quetion
Answer:
10000
Step-by-step explanation:
100 x 100
1 x 100 = 100
Add 2 more zeros at the end of your answer
10000
(pretty sure this is a troll but there is your answer)
Answer: 10,000.
Step-by-step explanation:
If you get 100 then added 100 times itself 100 times you'll get 10,000
A magazine wants to publish an article about the world's wealthiest people and plans to publish
the net worth of those people to the nearest half of a billion dollars. Which two could be numbers
that get published in the magazine?
15.0 billion dollars
17.2 billion dollars
25.5 billion dollars
37.15 billion dollars
51.245 billion dollars
51.245 and 37.15
since they are both the highest
A store owner paid $15 for a dvd. he marked up the price of the dvd by 30% to determine his selling price. what is his selling price to the nearest hundredth (do not include a dollar sign in your answer)?
The selling price of the DVD that has a cost of 15 dollars is 19 dollars and 50 cents.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A store owner paid $15 for a DVD.
He marked up the price of the DVD by 30%.
The cost price is $15.
Then the selling price will be given as
Selling price = 15 × 1.3
Selling price = $19.50
The selling price is 19 dollars and 50 cents.
More about the percentage link is given below.
https://brainly.com/question/8011401
What is the cost per necklace?
Answer:
-3
Step-by-step explanation:
Each time 2 necklaces is sold the brand gains $5, each time they go down 2 bracelets the profit goes down by 5.
So the graph is so the equation is n-4=p
n|$
4:0
6: 2
8: 4
Match graph with choices below!
Answer:
○ [tex]\displaystyle None\:of\:these[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(2x - \frac{\pi}{2})} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = 2sin\:2x} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:2x,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-2\frac{1}{4}\pi, -2],[/tex]from there to [tex]\displaystyle [-1\frac{1}{4}\pi, -2],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Find the equation of the line that contains the point (-1,-7) and is parallel to the line 2x + 7y=9 . Write the equation in slope-intercept form, if possible.
Answer:
y=-2/7x-61/7
Step-by-step explanation:
convert to slope intercept form
2x+7y=9
7y=-2x+9
y=-2/7x+9/7
slope is -2/7
-7-2/7=-51/7
y=-2/7x-61/7
Answer:
[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]
Step-by-step explanation:
Hi there!
We are given the line 2x+7y=9
We want to find the equation of the line that contains the point (-1, -7), and that is parallel to the equation above
Parallel lines have the same slopes.
So we need to find the slope of 2x+7y=9
One way to do this is to convert 2x+7y=9, which is currently in standard form (ax+by=c) into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
In slope-intercept form, y is isolated by itself, so let's start by moving 2x to the other side (it removes it from the left side)
2x+7y=9
-2x -2x
____________
7y=-2x+9
Now divide both sides by 7
[tex]y=-\frac{2}{7} x + \frac{9}{7}[/tex]
in this equation, -2/7 is in the place of where m should be. This means that -2/7 is the slope of this line.
It is also the slope of the line parallel to it.
The instructions want us to write this equation in slope-intercept form, so let's plug -2/7 as m into the formula.
Here is the equation of the line so far:
[tex]y=-\frac{2}{7}x + b[/tex]
Now we need to find b.
As the equation contains the point (-1, -7), we can use it to help solve for b.
Substitute -1 as x and -7 as y into the equation
[tex]-7=-\frac{2}{7}(-1) + b[/tex]
Multiply
[tex]-7=\frac{2}{7} + b[/tex]
Subtract 2/7 from both sides
[tex]-\frac{51}{7} = b[/tex]
Substitute -51/7 as b in the equation
[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]
Hope this helps!
See more on this topic here: https://brainly.com/question/25658338
What is the value of z in the equation 3z + 5 = 4z - 8?
0 1
o-1
13
0-13
Answer: 13
Step-by-step explanation: