Answer:
y = 3x - 5
Step-by-step explanation:
1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:
[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]
So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:
[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 6.
Event B: The sum is not divisible by 4.
Write your answers as fractions.
PLEASE HELP!! ASAP !!! WILL MARK BRAINLEST!
Answer choices
○ 0°
○180°
○270°
Answer:
270° counterclockwise
Step-by-step explanation:
The measure of an angle is 34.7°. What is the measure of its supplementary angle?
Answer:
Let the supplementary angle be x.
x+34.7°=180
or, x=180-34.7°
or, x=145.30°
:. x=145.30°
i need help with the volume, tsa and x please
Answer:
Volume = 42 units^2
x = 5 units
Total Surface Area = 96 units
Step-by-step explanation:
Volume
V = bh, where b = 1/2 * 3 * 4 and h = 7,
= 6 * 7 = 42 units^2
x
You can solve for this variable by using the pythagorean theorem;
a^2 + b^2 = c^2, where a = 3 and b = 4,
9 + 16 = x^2
= 25 = x^2
= x = 5 units
Total Surface Area
You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:
7 * (3 + 4 + 5) + 2(1/2*3*4)
= 7*12 + 12
= 96 units
Which number line shows the solution to w - 2 ≤ 8? *
(don't delete my question)
Answer:
closed circle going left from 10
Step-by-step explanation:
B (*￣3￣)╭
anyone good with this problem! pls help , due in 16.
Kelly got a part time job and had to pay $150 worth of taxes, which was 10% of her monthly payment. How much money did she make before paying taxes?
Answer:
$1,500
Step-by-step explanation:
To find how much money she made before paying taxes, divide 150 by 0.1:
150/0.1
= 1500
So, Kelly made $1,500 before taxes
Answer:
$1,500
Step-by-step explanation:
Turn 10% into a decimal: To turn a percent into a decimal, you move the decimal twice to the left.
10%=.1
Divide: $150 divided by .1=1500
$1,500
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Good luck!
Brainliest?!?!
i need help this is dude tomorrow
find the are in millimeters plz.
Answer:
640 units squared
Step-by-step explanation:
First, the formula of a trapezoid is (a + b) x 2 divided by h
So, 40 + 24 = 64
64 x 20 = 1280
and 1280/2 = 640
Hope this helps!
PLEASE HELP ME WITH THIS IT IS 12 AM
HURRY GETTING TIMED
Which expression is equivalent to 20 n=3
20 n=3 + 20n=3
Find all solutions to (x+5)(2x-3)=3
Answer:x=-5.22311 and x=1.72311
Step-by-step explanation:
2x^2-3x+10x-15=3
Then put into quadratic formula and use calculator
please help me i'll count you as brainlist
Answer:
b
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
[tex]3x-7-\frac{2}{3}(9x-6)=15\\3x-7-6x+4=15\\-3x-3=15\\-3x=18\\x=-6[/tex]
The height of a triangle is 8 m less than its base. The area of the triangle is 42 m². The situation can be represented by the equation 12b(b−8)=42, where b is the length of the base in meters.
What is the length of the base?
Enter your answer in the box.
Answer:
14
Step-by-step explanation:
A = 1/2 BH
B = 5H
A = 490
490 = 5/2 * H^2
H = 14
Which equation is graphed here?
A)y = 2 + 2/3x
B)y = 2/3x - 2
C)y = -2 - 2/3x
D)y = -2/3x + 2
Andre and Elena are each saving money. Andre starts with $120 in his savings account and adds $5 per week. Elena starts with $50 in her
savings account and adds $15 each week
After 4 weeks how much will they have.
After how many weeks will they both have the same amount of money.
Answer:
140 for andre and elena will have 110 dollars
Estimate the volume of a soccer ball that has a diameter of 8 inches
Answer:
269 in³
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
Here the ball (sphere) diameter is 8 in, meaning that the radius is 4 in.
Thus, the volume of this ball is:
V = (4/3)π(4 in)³
If an "estimate" is good enough, use 3.14 for π:
V = (4/3)(3.14)(4 in)³ = 269 in³
Which is an arithmetic sequence?
Question 3 options:
-5, 6, 10, 13
1, 2, 4, 8
1, 4, 9, 16
3, 10, 17, 24
Answer:
3, 10, 17, 24
Step-by-step explanation:
The others don't have a common pattern so it is the last one.
The common difference in the last one is 7.
So the last one is the correct answer.
Hope this helps =]
Find the area of the complex figure.
Answer:
it's 189 the area
Step-by-step explanation:
area =189
convert into 24 hours clock time. (a).1.40pm
Answer: 13:40
Step-by-step explanation:
Answer:
13:40
Step-by-step explanation:
pm is after the first 12 hours of the day
and so 1 pm you just add one
12+1=13
at the 40 minutes
13:40
if she were to average that same commission each week how much would she make in commissions in a year treating a year as having exactly 52 weeks
A triangle has a base length of 14cm. The perpendicular height is 9cm. Find the area of the triangle
The area of a triangle with the given base and height is 63 cm².
Given that, a triangle has a base length of 14 cm and the perpendicular height is 9 cm.
What is the area of a triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, b=14 cm and h= 9 cm
So, area = 1/2 × 14 × 9
= 63 cm²
Therefore, the area of a triangle with the given base and height is 63 cm².
To learn more about the area of a triangle visit:
brainly.com/question/27701864.
#SPJ5
what is the perimeter of 6 and 2
Answer:
In order to calculate perimeter, you need to add together the lengths of all four sides of the square. You are given the length of one side. Remember, all sides of a square are equal, so really you already have the measures of each side. Then, you add them together, so 6 + 6 + 6 + 6 = 24 inches.
Step-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
Answer:
16
Step-by-step explanation:
P=2(L+W)
=2(6+2)
=16
The author uses paragraph 1 to A) establish his credentials. B) show that science and fun are linked. C) explain how roller coaster carts work. D) tell which parks give the most thrills. Eliminate
The inference shows that the author uses paragraph 1 to B. show that science and fun are linked.
What is an inference?An inference simply means the conclusion that can be deduced from the information given on an excerpt.
In this case, the inference shows that the author uses paragraph 1 to show that science and fun are linked. This was illustrated in the story about roller coasters.
Learn more about inference on:
https://brainly.com/question/25280941
Answer:
The correct answer is B
Step-by-step explanation:
I took this test
what is the solution of
3x=-12
Answer:
x = -4
Step-by-step explanation:
divide both sides by 3 to get x = -4
Answer:
good luck on the rest of your hmwork :D
Step-by-step explanation:
The graph of the function f(x) =x^2 is shown on the grid below. Graph the function g(x) =(x-2)^2 -4 in the interactive graph.
Answer:
shift it down by 4 units
Step-by-step explanation:
by the placement of the -4 it can be determined that you would shift it according to the y axis
The formula a(x-h)^2 + k = y
h represents change in x, k represents change in y
-k means shift down
what is the solution of
x/3+2=3
Answer:
x=3
Step-by-step explanation:
x/3+2=3 (subtract 2)
x/3=1 (multiply by 3)
x=3
Jackie wants to buy a dress, the regular price of the dress is $36 but it is on sale for 20% off, what is the final price, show work.
Answer: The final price is $7.2
Step-by-step explanation: if you multiply 36 x 20 = 720 and if you divide 100 = 7.2
2/5 * 2/5 * 2/5
I know it but I’m not sure
Answer:
0.064
Step-by-step explanation:
For exercises 1 and 2, use the figure at the right.
1. what is m<4 if m<8 = 40 degrees
Answer:
the figure is missing. please provide the figure.