What is an equation of the line perpendicular to
y=1/5x+2 that contains (15,-4)
Answer:
y + 4 = -5(x - 15)
Step-by-step explanation:
The given line has a slope of 1/5. Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5: -5.
Use the point-slope equation of a line: y - k = m(x - h), where (h, k) is the point through which the new line passes. Here h = 15 and k = -4, so we have:
y + 4 = -5(x - 15)
This line is perpendicular to the given line and also passes through (15, -4).
For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc
Answer:
the answer is c
Step-by-step explanation:
cos30 = sin60
then cos30 - sin 30 = 0
c is the only choice which can satisfy in the problem
Find x if the line through the points (6, x) and (1,-5) has a slope of 2.
Answer:
Step-by-step explanation:
Use the slope formula
m = (y2 - y1)/(x2 - x1)
y2 = x
y1 = -5
x2 = 6
x1 = 1
m = 2
Solution
2 = (x - - 5)/(6 - 1)
2 = (x + 5)/ 5 Multiply both sides of the equation by 5
5*2 = 5(x + 5)/5 Simplify
10 = x + 5 Subtract 5 from both sides
10-5 = x
x = 5
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answer:
bbc
Step-by-step explanation:
If x # y = 2x + y, then 1 # 2 =
Answer:
1 # 2 = 4
Step-by-step explanation:
1 # 2 = 2*1 + 2 = 2 + 2 = 4
How to graph an equation.
Answer:
Below
Step-by-step explanation:
To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b
We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.
Hoped this helped.
The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this stock price?
Answer:
66.8421% decrease
Step-by-step explanation:
which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105
Answer:
B. 17/102,27/108 do not for proportion
Put 62%, 0.71, 0.8, 5/8 in ascending order
Answer:
0.62 < 5/8 < 0.71 < 0.8
That’s it in ascending order
0.8 > 0.71 > 5/8 > 0.62
That’s it in descending order
Step-by-step explanation:
Answer:
62%, 5/8, 0.71, 0.8
Step-by-step explanation:
62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8
Here is an inequality -10+x÷4+5>7x-5÷3
Answer:
here is the answer x>1/2
A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
https://brainly.com/question/20333425
I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
I will mark most brainlest whoever gets it right for me :)))
Sorry I can't help you :(
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
Answer:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
The LCD is (a^2 + a)(a - 2) so we have
[(a + 2) - 3(a^2 + a)] / (a^2 + a)(a - 2)
= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)
= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)
Please help I don’t understand
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
10. Simplify each 12x°(x-4) x=6
Answer: 144
Step-by-step explanation:
since x=6 and im assuming ° means multiplication
12(6) times (6-4)
72 times 2
144
Answer:
144
Step-by-step explanation:
(12)(6)(6−4)
=144
: Mr. Burkett drove his car at an average speed of 70 miles per hour for 3.5 hours and then traveled at an
average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that he traveled during this time?
Answer:
Mr Burkett travelled 407.5 miles during his full trip.
Step-by-step explanation:
First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.
In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.
Finally, we can just add them! 245 + 162.5 = 407.5.
to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?
Using proportions, it is found that he was supposed to read the book in 10 days.
This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:40 pages - x days
25 pages - x + 6 days
Applying line multiplication, as it is an inverse rule of three:
[tex]40x = 25(x + 6)[/tex]
[tex]40x = 25x + 150[/tex]
[tex]15x = 150[/tex]
[tex]x = \frac{150}{15}[/tex]
[tex]x = 10[/tex]
He was supposed to read the book in 10 days.
A similar problem is given at https://brainly.com/question/24372153
A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
__________
Answer:
y = 2x +2
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)
From the graph we see that
m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2
m=2 is the slope
b is where the line cuts the y-axis and is at 2
b=2 is the y-intercept
Substitute m and b in the general equation to find the equation of the graphed line.
y = 2x +2
Don’t understand please help
Answer:
Table I blank is 1
Table II blank is 1.398
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
57 multiplied 2794?
IXL question
6457/25 using partial products
Set up using the same way please.
Answer: 6457/25=258.28
Step-by-step explanation:
Answer:
258.28 Hope this helps! Please mark brainliest it means a lot to me
Step-by-step explanation:
Th=0
H=2
T=5
0=8
tenth=2
hundredth=8
You could get the answer by doing long division/standard algorithm
On a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.
Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.
You are choosing between two health clubs Club A offers membership for a fee of $21 plus a monthly fee of $20. Club B offers
membership for a fee of $35 plus a monthly fee of $13. After how many months will the total cost of each health club be the same?
Answer:
$$x=5$$, so after five months the costs would equal each other
Step-by-step explanation:
i think pls mark brainliest
HELPPPPPPP plssssssss
Answer:
The length of FB IS D) 7 units
what is the answer??????
Answer:
1) B. 1 1/322) A. 1.8
Solution:
2 3/4 as an improper fraction is 11/4.
2 2/3 as an improper fraction is 8/3.
11/4 ÷ 8/3
11/4 ÷ 3/8 (reciprocal method)
11/4 × 3/8 (change the operation to multiplication)
11/4 × 3/8 = 33/32 (multiply)
33/32 ⇒ 1 1/32 (simplify)
1 4/5 as an improper fraction is 9/5.
9/5 ⇒ 1.8
Solve for x
#6:
X=_
#7
X= _
Step-by-step explanation:
for the first one let's write our equation
(13x+2)+(3x-4)+(5x-7)=180
Combine like terms
21x-9=180
Add 9 to both sides
21x=189
Divide both sides by 21
x=9
Now for the second one
Let's write our equation
(19x-18)+(7x+1)+(10x-9)=180
Combine like terms
36x-26=180
Add 26 to both sides
36x = 206
Divide both sides by 36
x = 5.72222...
Definition: An event that is made up of two or more outcomes is called
Example: Rolling a 5 on a die and flipping heads on a coin.