30pts + Brainliest to correct answer!!
As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x.
Part 1: Point-Slope form of the linear equation
Part 2: Slope-intercept form of the linear equation
Part 3: The general form of the linear equation
Answer:
See answers below
Step-by-step explanation:
Equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Given the line y = x
The slope of the line is 1.
The slope of the line perpendicular is M = -1
Given the point (2,2)
x0 = 2 and y 0 = 2
Substitute
Recall y-y0 = m(x-x0)
y - 2 = -1(x-2) (Point slope form)
Express in slope intercept form;
y - 2 = -1(x-2)
Make y the subject of the formula;
y -2 = -x + 2
y = -x + 2 + 2
y = -x + 4 (slope intercept form)
The general form of linear equation is expressed as the slope intercept form which is y = -x+4
let y = f(x)
f(x) = -x+4
f(x) = 4-x (Linear equation)
PLEASE HELP ME FAST!!!!!
Answer:
29/36pi radians
240 degrees
Step-by-step explanation:
pi = 180
145/180pi = 29/36pi radians
4/3*180 = 240 degrees
4. Which trigonometric expression is equal to cos 72°? A. cos 55° B. cos 50° C. sin 61° D. sin 18°
Answer:
D. sin 18°
Step-by-step explanation:
sin 18 because 18 + 72 = 90
hello help please i’ll mark brainliest!!!
Answer:
Its is 1,3,4
Step-by-step explanation:
Mark me brainliest please <3
How do i slove for x2 + 19 = 3
Answer:
x = ± 4i
Step-by-step explanation:
x^2 + 19 = 3
Subtract 19 from each side
x^2 +19-19 = 3-19
x^2 = -16
Take the square root of each side
sqrt(x^2) = sqrt(-16)
x = sqrt(-1*16)
x =sqrt(-1) * sqrt(16)
We know that the square root of -1 is the imaginary number i
x = ± 4i
Help! this homework id due tomorrow! (3-5-2021) Please help!
Answer:
432 inches.
Step-by-step explanation:
The formula for finding the area of a triangle is;
[tex]\frac{b*h}{2}[/tex]
Using this, we can find the area of each individual piece.
[tex]\frac{6*6}{2} =18[/tex]
Now that we have this, we simply multiply 18 by 24, which gives us 432.
please help it will be helpful
Equivalent Ratio
9:36=
21:27=
48:72=
60:45=
10:70=
Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16.
Answer:
See solutions below
Explanation
We are to find the equation of circle A and B
The equation of a circle is expressed as;
(x-a)^2 + (y-b)^2 = r^2
(a, b) is the centre and r is the radius
For Circle A that has center of (6, 7), and a radius of 4
Substitute;
(x-6)^2 + (y-7)^2 = 4^2
(x-6)^2+(y-7)^2 = 16
Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16
For circle B:
If circle B has a center of (2, 4), and a radius of 16
The equation is expressed as;
(x-2)^2+(x-4)^2 = 16^2
(x-2)^2+(x-4)^2 = 256
Hence the required equation is (x-2)^2+(x-4)^2 = 256
Use the information given to enter an equation in standard form.
(9, 10) and (8, 7) are on the line.
Answer:
The equation in the standard form of the line through the given points is;
y = 3x - 17
Step-by-step explanation:
We start by getting the slope of the line;
m = (y2-y1)/(x2-x1)
m = (7-10)/(8-9) = -3/-1 = 3
The stands equation form is;
y = mx + b
m is slope, b is the y-intercept
so we have
y = 3x + b
To get b, we substitute the coordinates of any of the points
10 = 3(9) + b
10 = 27 + b
b = 10-27
b = -17
So the equation is;
y = 3x - 17
all expressions equivalent to 3.1y+ (y+10) + 4.2y
Answer:
8.3y + 10
Step-by-step explanation:
Helpp me please im lost
PLS HELP FOR ALL MY POINTS ILL GIVE BREAINLEST TO WHO EVER IS RIGHT
PLS HELP ME! (awarding brainliest)
I need to find the AREA of these 6 circles using 3.14.
Answer I don't know the answer but i can help you find it out, so basically your going to times 3.14 by the numbers in the circle
Step-by-step explanation:
Step-by-step explanation:
In order to find each one, you use the formula A=pi R², meaning you put the radius to the power of two(multiply it by itself) and then multiply that by pi. ex: 7.4×7.4= 54.76,
next 54.76×3.14=171.9, which is your answer. If it gives you the diameter of the circle, divide that by two to get the radius, and follow the steps from before. Ex: 2.24÷2=1.12, next 1.12×1.12=1.2544, next 1.2544×3.14=3.9, the answer.
answer)
3.90.20.5171.9115,735 1.5HELP!
Find the distance between each pair of points. Round your answer to the nearest 10th if necessary.
Answer:
The answer is 3.
Step-by-step planation:
All you have to do is find the 2 points and it looks like this:
(-2,-3) , (0,3)
3- -3 /0- -2 = 6/2 = 3
How many moles contain 1.25x 10^15 molecules of glucose
Answer:
i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.
Step-by-step explanation:
Round your answer to the nearest hundredth.
0
A
70°
4
B
Answer:
70 i think
Step-by-step explanation:
What is 0.65625 rounded to the nearest tenth of a percent?
Answer:
0.7
Step-by-step explanation:
Which number line shows the solution to the inequality -2(3x - 1) <8?
I need this please!!!!
Answer:
C
Step-by-step explanation:
I haven't done this math in years but from what I remember this should be the correct answer.
B. is the correct option to choose.
What is inequality ?An inequality is comparing of non-equal terms or expressions.
According to the given question we have to solve the given inequality and represent it in form of a number line with appropriate symbols.
Given,
-2(3x - 1) < 8.
- 6x + 2 < 8.
- 6x < 8 - 2.
- 6x < 6.
- x < 6/6.
- x < 1.
x > -1. ( Think of moving the terms to the other side to make x positive )
This will be represented in a number line with open circle staring from -1 to positive infinity.
learn more about inequality here :
https://brainly.com/question/20383699
#SPJ2
Hi could someone give me an answer? please?
Answer:
a) 10%
b) 80%
c) 20%
Step-by-step explanation:
I hope that is useful for you :)
The diameter of a circle is 3 ft, what's the area to the nearest tenth?
Answer:
1.5
Step-by-step explanation:
How Do I solve this? Answer too please.
PLS HELP ILL GIVE U BRAINLIST !!!!
Ashley's rectangular bedroom measures 12 feet by 11 feet. The ceiling is 8 feet
high. Ashley wants to put wallpaper on the walls. What is the surface area of the
four walls of her room?
11.4
Step-by-step explanation:
Write log1/4(1/64)=3 in exponential form
A square has an area of 12x^2 square feet. What is the length of its sides?
Simply (2x^5)^2(4x^3)
I need an answer for this
Answer:
Step-by-step explanation:
18+12+9
Answer:
756 cm^2
Step-by-step explanation:
9 x 12 = 108 triangles
9 x 18 = 162 back side
9^2 + 12^2 = c^2
9^2 + 12^2 = 225
9^2 + 12^2 = 15^2
length of the hypotenuse is 15 so
15 x 18 = 270 slanted top
18 x 12 = 216 bottom
216 + 270 + 162 + 108 = 756 cm^2
After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?
Answer:
2 inches per hour
Step-by-step explanation:
2 1/2 hours is equivalent to 150 minutes.
Set up a proportion; let x equal inches of rain
[tex]\frac{5}{150}[/tex]=[tex]\frac{x}{60}[/tex]
Cross multiply -> 150x=300
Divide both sides by 150 to get -> x=2
Fill in the missing numbers
I need an answer ASAP
Answer:
the missing numbers be 60 and 6 respectively
Step-by-step explanation:
The computation of the missing numbers are shown below:
Let us assume the missing numbers be x
a/
, [tex]\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60[/tex]
b.
[tex]\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6[/tex]
Hence, the missing numbers be 60 and 6 respectively
Find the area of the shaded sector
Help pls I'll give brainleist
Answer:
the answer is this had shades is the 72.