Answer:
Equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is [tex]\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}[/tex]
Step-by-step explanation:
We need to write an equation of a line through (15, 8) that is perpendicular to the line y =57 x −1.
The equation will be in slope-intercept form: [tex]\mathbf{y=mx+b}[/tex]
Where m is slope and b is y-intercept.
Finding Slope of new line
We are given equation [tex]y =57x-1[/tex] of line, which is perpendicular to the line whose equation we need to find.
If the lines are perpendicular there slopes are inverse of each other i.e [tex]m_1=-\frac{1}{m_2}[/tex]
Slope of given line is m= 57 ( compare the given equation with standard slope-intercept form the value of m is 57
Slope of new line is m= [tex]-\frac{1}{57}[/tex]
Finding y-intercept of new line
Now finding y-intercept (b) for new line. It can be found using point (15,8) and slope m = [tex]-\frac{1}{57}[/tex]
[tex]y=mx+b\\8=-\frac{1}{57}(15)+b\\8=-\frac{15}{57}+b\\b=8+\frac{15}{57}\\b=\frac{8*57+15}{57}\\b=\frac{471}{57}\\b=\frac{157}{19}[/tex]
So, y-intercept b of new line is: [tex]b=\frac{157}{19}[/tex]
Equation of required line
Equation of line having slope m= [tex]-\frac{1}{57}[/tex] and y-intercept [tex]b=\frac{157}{19}[/tex] is:
[tex]y=mx+b\\\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}[/tex]
So, equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is [tex]\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}[/tex]
A bakery sells 2 croissants for $3 they sold 31 croissants on Monday, how much money did they make
please help me asap
Answer:
1/8
Step-by-step explanation:
3/4= 6/8
so 7/8 - 6/8 = 1/8
Answer:
B.
Step-by-step explanation:
3/4*2=6/8
6/8+1/8=7/8
hope this helps :3
if it did pls mark brainliest
not sure need help
Answer:
the circumference is 31.4159 (or 31.42)
explain how to determine if the two expressions are equivalent using x=6 and x=10
8x+40. 8(x+5)
Answer:
Step-by-step explanation:
if they're equivalent, when you plug in either 10 or 6 for x, they should both equal the same.
x=10, 8(10)+40=120.... 8(10+5)=120. so they equal. also test 6
8(6)+40=88. 8(6+5)=88
they are equivalent since they both equal each other, no matter what you plug in. reason being that the 8(x+5) is the factorized version of 8x+40
Answer:
By putting both values of x in the expression, it can be concluded that both expressions are equivalent.
Step-by-step explanation:
The expressions can be evaluated to be equivalent by putting the values given
The expressions are:
8x+40 and 8(x+5)
Putting x = 6 in both
[tex]8x+40\ and\ 8(x+5)\\8(6)+40\ \ ; \ 8(5+6)\\48+40\ \ \ \ ; \ \ 8(11)\\88\ \ \ \ \ \ \ \ \ \ \ ; \ \ 88[/tex]
The values of both expressions are same on x=6
Now putting x = 10
[tex]8x+40\ and\ 8(x+5)\\8(10)+40\ \ ; \ 8(10+6)\\80+40\ \ \ \ ; \ \ 8(16)\\120\ \ \ \ \ \ \ \ \ ; \ \ 120[/tex]
The values of both expressions are same on x = 10
Hence,
By putting both values of x in the expression, it can be concluded that both expressions are equivalent.
The mean of a distribution is 276, while the median is 276. Which of these
statements is likely to be true about the distribution?
A. It is negatively skewed.
B. It is positively skewed.
C. It is not symmetric.
D. It is not skewed.
Answer:
It is not skewed.
Step-by-step explanation:
When the mean of a distribution is equal to that of its median, the distribution is not skewed.
Here, mean and median of a distribution is 276. It means, both mean and median are same. It would mean that the distribution is not skewed.
Out of the given options, the correct option is (d) "It is not skewed".
ROADS The city added an extra lane in each direction to the 5 lane road?
FIND THE PERCENT OF CHANGE. ROUND TO THE NEAREST WHOLE PERCENT IF NECESSARY. STATE WEATHER THE PERCENT CHANGE IS increase or decrease.
Answer:
20 percent is added
Step-by-step explanation:
Brody is hosting a watch party for a basketball game. He wants to order 5 large pizzas, 3 orders of breadsticks, and 6 liters of Dr. Pepper. If 1 large pizza cost $11.26, 1 order of breadsticks cost $7.85, and 1 liter of Dr. Pepper cost $1.79, how much would his total be? PLS ANSWER FAST
A family spends $450 every month on food. If the family’s income is $1,800 each month, what percent of the income is spent on food?
Khan Academy
Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(x)=
Answer:
p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Step-by-step explanation:
(x+3) is the factor of polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex]
So, we can divide [tex]p(x) = x^3 + 7x^2 - 36[/tex] by (x+3) to find other factors
The division is shown in figure attached.
The quotient is: x^2+4x-12
Now factoring the quotient to find linear factors
[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]
The factors are [tex](x+3)(x-2)(x+6)[/tex]
So, p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Please hel me with this
Answer: I disagree with the person that answers before. The answer is D, parliamentary democracy.
Here's why: The definition of parliamentary democracy is a democratic form of government in which the party with the greatest representation in the parliament (legislature) forms the government, its leader becoming prime minister. The United Kingdom is a unitary state with devolution that is governed within the framework of a parliamentary democracy under a constitutional monarchy in which the monarch, currently Queen Elizabeth II, is the head of state while the Prime Minister of the United Kingdom, is currently Boris Johnson
tiana deposited 500 into an account that earns 6% simple interest. how many years will it take for the value of the account to reach 2000?
((please show step-by-step))
Answer:
4 years and 24% simple interest
Step-by-step explanation:
if 500 make a 6% simple interest then if it asks to get to 2k then it will be like 5x4=20 so 4 years, and it will make 24% vaule of simple interest
ITS DUE AT 12 PLZ HELP ME I DONT GET IT
Answer:
a) 1/2, 1/2, 1/2
b) T
R
S
c) DEF and TRS are similar
Step-by-step explanation:
a) TR/DE = 9/18 = 1/2
RS/EF = 8/16 = 1/2
TS/DF = 5/10 = 1/2
b) E is the smallest angle on the DEF, and it corresponds w the smallest angle on TRS, R. D corresponds to T, and F to S
they r similar figures - u can see it if u tilt TRS counterclockwise nd flip it
c) they r similar bcuz u can see in part a) that they all have proportional side lengths so yea theyre similar
Which inequality is true
Brainlest! Which statement correctly compares the function shown on this graph with
the function y= 2x - 5?
Answer:
B.
Step-by-step explanation:
The graphed line has a slope of 3 which is higher than the functions slope of 2. It also has a y-intercept of 4 while the functions y-intercept is -5, therefore it is higher.
Answer:
There you go cupcake!
how many decimeters are in 5 kilometers. please show your work by using the power of 10 to show the work its due in 12 minutes PLZ HELP
Answer:
There are 50,000 decimeters in 5 kilometers
Step-by-step explanation:
as for showing my work not really sure what you want me to do it's pretty straightforward, butttttttt what i did was multiply the length value by 10,000, so [tex]10,000=10^4[/tex]
I'm not sure if that's what you're looking for but I hope this helps :)
What is -8(2-3w)-5
Please explain!
Answer:
24w - 21
Step-by-step explanation:
-8(2 - 3w) - 5
We first expand the -8
-16 + 24w - 5
We then add -16 to -5
-16 + -5
= -21
We get the 24w, put in in the equation and get 24w - 21
Answer:
24w−21
Step-by-step explanation:
Factoring 24w2+10w-21
The first term is, 24w2 its coefficient is 24 .
The middle term is, +10w its coefficient is 10 .
The last term, "the constant", is -21
Step-1 : Multiply the coefficient of the first term by the constant 24 • -21 = -504
Step-2 : Find two factors of -504 whose sum equals the coefficient of the middle term, which is 10 .
-504 + 1 = -503
-252 + 2 = -250
-168 + 3 = -165
-126 + 4 = -122
-84 + 6 = -78
-72 + 7 = -65
-63 + 8 = -55
-56 + 9 = -47
-42 + 12 = -30
-36 + 14 = -22
-28 + 18 = -10
-24 + 21 = -3
-21 + 24 = 3
-18 + 28 = 10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 28
24w2 - 18w + 28w - 21
Step-4 : Add up the first 2 terms, pulling out like factors :
6w • (4w-3)
Add up the last 2 terms, pulling out common factors :
7 • (4w-3)
Step-5 : Add up the four terms of step 4 :
(6w+7) • (4w-3)
Which is the desired factorization
HELP ME I’ll SEND YOU MONEY!
The product of two consecutive even integers is 8. Find the integers.
Note: each set of brackets represents one solution
Answer:
2 and 4
Step-by-step explanation:
you can just try and u'll get 2 and 4
Answer:
-4 and -2 or 2 and 4Step-by-step explanation:
Let the integers be x and x+2
Then we have:
x(x+2) = 8x^2 + 2x = 8x^2 + 2x + 1 = 9(x + 1)^2 = 3^2x + 1 = ± 3x = -1 ± 3x = -4 and x = 2The numbers are:
-4 and -2 or 2 and 4Henry goes to a store an buys an item that costs xx dollars. He has a coupon for 5% off, and then a 5% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Henry paid at the register.
Answer:
xx - 5% + 5% dollars
Step-by-step explanation:
he was given a 5%coupon meaning 5% was deducted.
then a 5% sales tax was added presenting us with the expression:
xx - 5% + 5%
no more!
Answer:
0.9975x
Step-by-step explanation:
0.9975x
What is the inverse function of f? F(x)=10/9x+11
Elaine had 5/8 of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get of they split it evenly.
1/8
1/5
3/8
Answer:
1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
f(x)=-1/3(5-x),what is f(-16)
3. Let sin 21 = 0.358. What is the value of x for cos x=0.358?
Answer:
[tex]\cos(69)[/tex]
Step-by-step explanation:
We will use the co-function identity for sine, where:
[tex]\sin(x)=\cos(90-x)[/tex]
Since sin(21)=0.358=cos(x). This means that:
[tex]21=90-x[/tex]
Solve for x. Add x to both sides:
[tex]x+21=90[/tex]
Subtract 21 from both sides:
[tex]x=69\textdegree[/tex]
Hence:
[tex]\sin(21)=\cos(69)\approx0.358[/tex]
An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investment will generate a NPV of $
Answer:
The investment will generate a NPV of $2,731.
Step-by-step explanation:
Cost of an investment (PV) = $5,000
Annual cash flows = $3,000
Period of investment = 3 years
Interest rate of return = 8%
Annuity Factor = 2.577 (for 3 years at 8% per year)
Present value of the annuity = $3,000 * 2.577 = $7,731
NPV = Annuity PV minus PV of investment cost
= $7,731 - $5,000
= $2,731
b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000. The resulting NPV is positive and the investment should be accepted.
Camila just got a brand new pet lizard, and she collects data 3 times a day for 10 days to see if her lizard is awake or asleep.
The table below shows her data. "A" represents an awake lizard, and "S" represents a sleeping lizard.
Answer:
0.3
0.4
0.2
0.1
Step-by-step explanation:
look at the pic
The diameter of the circle is 40ft what is the circle radius
Answer:
20 ft.
Step-by-step explanation:
G(x)=-4+7 rate of change
If this pattern continues,represent the number of sit ups she does per minute for the first 5 weeks of training as a numeric sequence
Answer:
im just saying your not explaining the question clearly
Step-by-step explanation:
What kind of segment is AQ?
Answer:
A. Altitude
Step-by-step explanation:
An altitude is a perpendicular line in a triangle that goes from a vertex to the base of the triangle.
6 2/9 divided by 4 times 1 1/6
Answer:
49/27 i think
Step-by-step explanation:
5. Color five-eighths, .
ОООО
ОООО
Answer:
●●●●
●ООО
Step-by-step explanation: