Find an equation for the line perpendicular to the line 7x−7y=5 having the same y-intercept as x+5y=−6.
Answer:
x + y = - 1.2
Step-by-step explanation:
7x - 7y = 5 ; y = x - [tex]\frac{5}{7}[/tex] ; the slope is 1 , and slope of ⊥ line is ( - 1 )
x + 5y = - 6 ; y = - [tex]\frac{1}{5}[/tex] x - [tex]\frac{6}{5}[/tex] ; y-intercept is ( - 1.2 )
Equation is y + [tex]\frac{6}{5}[/tex] = - ( x - 0 ) ; y = - x - 1.2 ; x + y = - 1.2
The length of the opposite side of a right triangle is 2cm longer than the length of the adjacent side. The hypotenuse is 4cm longer than the adjacent side. Use a quadratic equation to determine the perimeter of the triangle.
PLEASE HELP
Answer:
Step-by-step explanation:
Let x be the adjacent side length in cm
opposite side is x + 2 cm
hypotenuse is x + 4 cm
x² + (x + 2)² = (x + 4)²
x² + (x² + 4x + 4) = (x² + 8x + 16)
x² - 4x - 12 = 0
(x - 6)(x + 2) = 0
so either
x - 6 = 0 x = 6
or
x + 2 = 0 x = -2
positive answer is x = 6 as negative length does not make sense
opposite side is 6 + 2 = 8
hypotenuse is 6 + 4 = 10
perimeter is 6 + 8 + 10 = 24 cm
What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)
Answer:
Vertical asymptote is at [tex]x=-3[/tex]
Step-by-step explanation:
Let us plot the function
Here
[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]
Function does not exits at [tex]x=-3[/tex]
Vertical asymptote is at [tex]x=-3[/tex]
A mechanic is paid $61,490 in salary for a year. Assuming there are 26 pays in a year, what is her biweekly (average) salary? $30,745 $3,074.50 $1,182.50 $2,365
Answer:
$2,365
Step-by-step explanation:
Divide $61,490 by 26...
free pointttttttttttttttttttts
yo mama is so fat
when she saw you she died from diabetes
Simplify the square root of 5 times the cube root of 5.
I know the answer is, five to the five sixths power but I would like to know the steps to solve it.
Please help me with it, I'm not doing so well right now, and I need help.
Answer:
Step-by-step explanation:
is it true that George Washington LOVED political parties?
Answer:
No, It's false.
Step-by-step explanation:
In the long history of the United States, only one president, George Washington, did not represent a political party.
Help find the value X
Answer:
x=61
Step-by-step explanation:
2x-6+x+3=180
3x-3=180
3x=183
x= 61
Add the equations.3x-y=-5
7x+y=15
Step-by-step explanation:
it is like a regular addition of numbers. you add the different positions.
3x + 7x = 10x
-y + y = 0
-5 + 15 = 10
so, D. is the right answer : 10x = 10
Sally can paint a room in 4 hours while it takes Steve 7 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
3 hours
Step-by-step explanation:
7hours - 4hours
hope it helped
pls give me brainliest
Joel can do 20 math problems in 90 seconds How many seconds would it take him to do 32 problems?
HELP ME ITS SUPER HARD
Answer:
Joel can do 20 math problems in 90 seconds
He can do 1 math problem in 90/20 = 4.5 seconds
Now, Joel can do 32 math problems in
4.5×32
= 144 seconds
= 2 minutes 24 seconds
Step-by-step explanation:
Here I used the unitary method to sovle the question
Suppose you are the 120th person in line at airport security. In 75 sec, 5 people are able to pass through security. Assuming this rate stays the same, how long (in minutes) will you be waiting in the security line? It takes 15 min to walk from security to the gate for your flight. If the flight stops boarding in 60 min, will you arrive at the gate in time?
Answer:
It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.
Step-by-step explanation:
To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes
(divide by 60 to convert to minutes)
log x √x + log √c c² = ?
[tex] log_{x}\sqrt{x} + log_{ \sqrt{c} } {c}^{2} = \\ [/tex]
please help me!!!!?;
Given that
log √x (x) + log c² (c)
⇛ log x^1/2 (x) + log c² (c)
We know that
log a^m (b^n) = m/n log a (b)
⇛ 1/2 log x (x) + 2 log c (c)
We know that
log a ( a) = 1
⇛ (1/2)(1) + 2(1)
⇛ (1/2)+2
⇛ (1+4)/2
⇛ 5/2
Answer:- log √x (x) + log c² (c) = 5/2
[(x) ,(c) , (a) represents the bases ]
Additional comment:
(a+b)(a-b) = a²-b²log a^m (b^n) = m/n log a (b)log a ( a) = 1also read similar questions: if log^2(x)=log^2(a)+log^2(b)-log^2(c) then x is....
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simplify the following expression. log(x2) - log(x) A. log(x^2+x) B. log(x^3) C. log(x^2-x) D. log(x)....
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NEED NOW PLEASE.......
Answer:
Integers
Step-by-step explanation:
Integers are the set of whole numbers and their opposites.
Please answer it....
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfy the given equation is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfy the given equation is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/1506955
Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comma, minus, 7, comma, minus, 3, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
Answer:
c(1) = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Given arithmetic sequence is,
-15, -11, -7, -3...........
Common difference between each successive and previous term is,
d = -11 - (-15)
= -11 + 15
= 4
Since recursive formula of the arithmetic sequence is represented by,
a₁ = First term of the sequence
a(n) = a(n - 1) + d
where a(n) is the nth term and a(n-1) is the previous term of the nth term.
Form the given sequence,
c₁ = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
A salesperson earns a commission of $308 for selling $ 2200 in merchandise. Find the commission rate.
Answer:$247
Step-by-step explanation
please i need help on the question
Answer:
A
D
B
C
Step-by-step explanation:
We can simplify the expressions for easier comprehension:
A. 60.7 x 10^-1 = 6.07
B. 6.07 x 10^3 = 6,070
C. 0.67 x 10^4 = 6,700
D. 6.7 x 10^2 = 670
Now, we can order them in ascending order (least to greatest):
A
D
B
C
Help!! Simplify the expression?
Answer:
Here is my answer I have solved hope this helps
In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.
Answer:
7.8
Step-by-step explanation:
subtract 85 - 77.2
Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 5 mm and 12 mm. Find the perimeter of the piece of jewelry.
Answer:
30 mm.
Step-by-step explanation:
The longest side = sqrt(5^2 + 12^2)
= sqrt169
= 13. (Using Pythagoras).
So the perimeter = 5+12+13
= 30 mm.
Perimeter of the piece of jewelry = 30mm
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".
Given,
Shape of jewelry is right angle triangle ABC
length of shorter sides,
AB = 5mm
BC = 12mm
By Pythagoras theorem,
AC² = AB²+BC²
AC = √(5² + 12²)
AC = √169
AC = 13 mm
Perimeter of Triangle = AB + BC + AC
= 5 + 12 + 13
Perimeter of Triangle = 30
Hence, 30 mm is the perimeter of jewelry.
Learn more about Pythagoras theorem here:
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Problem Guitars Galore
Johnny Inneger saved $100 to buy a guitar. Then he bought one for $80. Johnny lost patience learning to play it and decided to sell it to his friend Michael Michael had also saved $100 Michael really wanted the guitar, so he paid Johnny $90 for it. After johnny saw his favorite guitar player in a concert, he wanted to buy back the guitar. He bought it back from Michael for $95. Now Michael has offered Johnny 585 for the guitar. Johnny is deciding whether he will accept the offer. if he does will he have lost any money on the guitar? If so, how much?
HELPPPP I WILL GIVE POINTS AND BRAINLIEST
Answer:
11 mm, 21 mm, and 16 mm.
Step-by-step explanation:
since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16
Rewrite the expression using the
distributive property.
3(a + 2) + 4a
3a + 6 + 4a
Now combine like terms.
[?]a + [
Enter
Answer:
Step-by-step explanation:
Answer:
7a + 6
Step-by-step explanation:
Expand the brackets and then collect like terms. 4a + 3a = 7a
Write 0.06 as a fraction
Answer:
3/50
Step-by-step explanation:
Answer:
0.06 is equal to 3/50.
Hope that helps. x
help please use picture
[tex]y = x + 4[/tex]
Step-by-step explanation:
Let [tex]P_1(-1, 3)[/tex] and [tex]P_2(0, 4)[/tex] and solve for the slope using the equation
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 3}{0 - (-1)} = 1[/tex]
Therefore, the general slope-intercept form of the equation of the line is
[tex]y = x + b[/tex]
where b is a constant. To solve for it, let's use one of the points. I'll use P2:
[tex]4 = (0) + b \Rightarrow b = 4[/tex]
Therefore, the slope-intercept form of the equation of the line is
[tex]y = x + 4[/tex]
please help. one algebra question for 20 points
Answer:
f(-18) = -5
Step-by-step explanation:
Substitute−18forxiny=
1/3 x+1:
y= 1/3x+1
y= 1/3(−18)+1
y=−5(Simplify both sides of the equation)
two vectors a and b are inclined at a angle of 60° with each other. its resultant makes angle of 45° with a and value of resultant is 2 sqrt 2 . find the component
Answer:
[tex]\blue{\rule{100pt}{999999pt}}[/tex] [tex]\blue{\rule{100pt}{999999pt}}[/tex]
WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS
Answer:
1000 = 450 + 50w
Step-by-step explanation:
She starts with $450 so that is why you add it. The amount she started with will not change.
She earns $50 per week so you add 50 multiplied by the number of weeks she works.
You do this until it equals 1000
what are the subsets of set B =(a. b. c. d)?
Answer:
{},{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}
Step-by-step explanation:
