Answer:
[tex]y = -\frac{1}{3} x + 6[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]
2) Solve it. Simplify it if possible.
[tex]m = \frac{3 }{-9}[/tex]
Simplified: [tex]m = \frac{1 }{-3 }[/tex]
3) Plug the result into [tex]y = mx + b[/tex].
[tex]y = \frac{1}{-3} x + b[/tex]
4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].
[tex]6 = \frac{1}{-3}(0) + b[/tex]
[tex]6 = 0 + b[/tex]
[tex]6 - 0 = b[/tex]
[tex]6 = b[/tex]
5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].
[tex]y = \frac{1}{-3} x + 6[/tex]
The negative situated in the denominator can be genaralised to the fraction.
Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].
anyone help pls??
Find the perimeter and the area of the regular polygon with the given apothem a and side length s.
Step-by-step explanation:
apothem : distance from the center of the object to the side(s).
area : 1/2 × perimeter × apothem
perimeter : 9 x side
perimeter = 9×15 in = 135 in
area = 1/2 × 135 × 20.6 = 1,390.5 in²
The perimeter and area of a nonagon with apothem of 20.6 inches and side of 15 inches are 135 inches and 1390.5 inches² respectively.
What is a nonagon?A nonagon is a polygon with 9 sides. The perimeter and area can be found as follows;
Perimeter = length of the whole sides
side length = 15 inches
P = 9 × 15
p = 135 inches
Area of a nonagon = 1 / 2 pa
where
a = apothemp = perimeterTherefore,
apothem = a = 20.6 inches
area of the nonagon = 1 / 2 × 135 × 20.6
area of the nonagon = 2781 / 2
area of the nonagon = 1390.5 inches²
learn more on nonagon here: https://brainly.com/question/16228968?referrer=searchResults
If John had four pizzas and shared them equally to his three friends, how many slices will he have?
Answer:
Is this really college math?
He would have 8 slices of pizza
Step-by-step explanation:
8 * 4 = 32
32 / 4 = 8...
the number of slices John would have after distributing it among his friends.
solution8×4=32
32/4
= 8
John would have 8 slices of pizza.
How do you write 0.92 as a percentage?
find ingrammes 1/5 of 2 kg + 60 g
Answer
i dont know i jus want the points
Step-by-step explanation:
There is a juice bar at the gym. Fiona has a gift card that has a balance of $30. Each time she
buys a bottle of her favorite juice, $3 is deducted from her card. Chester also has a gift card.
The equation y=20 - 5x represents y, the balance, in dollars, left on his card after he has
bought x of his favorite bottles of juice.
Who had a greater initial amount of money on their card, Fiona or Chester? Whose balance
decreases at a faster rate every time he or she buys his or her favorite juice? Use the space
below for your work. Explain.
Answer:
y=mx+b. slopes.
Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.
Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.
solve for x ~
[tex]x {}^{2} - 4x = 0[/tex]
thankyou ~
Answer:
[tex]x = 0 \\ x = 4[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 4x = 0 \\ x(x - 4) = 0 \\ \\ x = 0 \\ \\ x - 4 = 0 \: - > x = 4[/tex]
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that: He plans to drive 100 miles. He has at most $70 to spend. Which inequality can be used to determine xx, the maximum number of days Hudson can afford to rent for while staying within his budget?
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?
Answer:
He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?
Find the missing side length
Answer:
12
Step-by-step explanation:
5^2+b^2=13^2
25+b^2=169
169-25=144
b=12
(yes, this is also a triple)
Here help my sis needs help
Let's complete
(2,8)(3,12)(4,16)Rule following=4n
(5,20)(6,24)#2
The rule is 4n
#3
Let's see
4n=48n=12ydwrite an equation of the line in slope-intercept form: A(-1,3) and b(2,-1)
Answer: y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
First we will find the slope, then we will find the y-intercept.
Slope is change in y over change in x:
[tex]\frac{-1-3}{2--1}=\frac{-4}{3}[/tex]
Now we will solve for the y-intercept:
y = [tex]\frac{-4}{3}[/tex]x + b
(-1) = [tex]\frac{-4}{3}[/tex](2) + b
-1 = [tex]\frac{-8}{3}[/tex] + b
[tex]\frac{5}{3}[/tex] = b
b = [tex]\frac{5}{3}[/tex]
Final equation:
y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
Which expression is equivalent to 20 + 8y − 9y − 21
Answer:
-y-1
Step-by-step explanation:
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
1
Step-by-step explanation:
What is 35 - 2 ????? I am very confused and need help. I’m in college pls.
Answer:
33
Step-by-step explanation:
35 take away 1 is 34 take away one more its 33
What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3
Answer:
[tex]Y=-\frac{1}{3} + 6[/tex]
Hope This Helps! :) Please Mark Brainliest!
Please solve this for me
IM STUCK CAN SOMEBODY SOLVE THE EQUATION
Answer:
m = 4
(0, 1)
y = 4x + 1
Step-by-step explanation:
Slope using first two points (-2, 7) & (-1, -3):
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-3+7}{-1+2} =\frac{4}{1}[/tex]
m = 4
Y-intercept, b: (0, 1)
Equation:
y = mx + b
y = 4x + 1
Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.
h(x) =6/square root of (7x+2)
Answer:
f(x) = 6√7
Step-by-step explanation:
f{g(x)}=h(x)
f(7x+2)=6√7x+2
let y = 7x+2
x= (y-2)/7
f(x)= 6 √7(y-2)/7+2
Thus, f(x) =6√7
answer quick i’ll give brainliest!! if you send links i’ll report u!
Answer:
[tex]\fbox{ Option D ➫ \: 416 \: cm²}[/tex]
Step by step explanation:
Given:
height of prism h = 18 cm
length of base of triangle b = 10cm
height of triangle h' = 2 cm
side A of triangle = 5 cm
side B of triangle = 7 cm
To find:
Surface area of prism = ?
Solution:
[tex]Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{10} \times \not{2} \\ Area \: of \: base \: triangle = 10 \: {cm}^{2} [/tex]
[tex] \fbox{Area \: of \: base \: triangle \: (B) = 10 \: cm²}[/tex]
[tex]Perimeter \: of \: base \: triangle = Side A + Side B + base b \\ Perimeter \: of \: base \: triangle = 5 + 7 + 10 \: cm \\ Perimeter \: of \: base \: triangle = 22 \: cm[/tex]
[tex] \fbox{Perimeter \: of \: base \: triangle (p) \: = 22 \: cm}[/tex]
[tex]Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 10+ \: 22 \times 18 \\ Surface \: area \: of \: prism = 20 + 396\\ Surface \: area \: of \: prism = 416 \: {cm}^{2} [/tex]
[tex]\fbox{Surface \: area \: of \: prism = 416 \: cm²}[/tex]
Thanks for joining brainly community!
Answer:
D. 416 cm²
Step-by-step explanation:
Let S be the surface area of the prism
B be the area of the base of the prism
A be the lateral area of the prism
_______
formula :
S = 2B + A
__________
The base is a triangle ,then B the area of the base :
[tex]B=\frac{10 \times 2}{2}=10 \mathrm{~cm}^{2}[/tex]
_______
formula :
A = (Perimeter of the base) × (the height of the prism)
__________
then ,
[tex]\begin{aligned}A &=(10+5+7) \times 18 \\&=22 \times 18 \\&=396cm^2\end{aligned}[/tex]
Conclusion:
[tex]\begin{aligned}S &=2 B+A \\&=2 \times(10)+396 \\&=20+396 \\&=416 \mathrm{~cm}^{2}\end{aligned}[/tex]
could anyone give me some quick help with this?
Answer:
a) 8xy = (4)(2xy)
b) 15x⁴z = (5x²)(3x²z)
c) -12x³y³ = (3y³)(-4x³)
d) 8x-2y = (2)(4x-y)
Step-by-step explanation:
a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy
b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.
5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z
c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³
d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
I need help finding the direction please. 100 points!
=======================================================
Explanation:
Take note that the x and y coordinate of this vector are the same.
This leads to a 45-45-90 reference triangle. If the vector was in the first quadrant (the northeast), then the answer would be 45 degrees.
However, we need to add on 180 so we get to the third quadrant instead where x and y are both negative. This gets us to 180+45 = 225 degrees
---------------
If you wanted to use a calculator, then you would compute the value of [tex]\tan^{-1}(b/a)[/tex] where <a,b> is the vector in question.
Since a = b in this case, we have b/a = 1 and the arctangent of this is 45 degrees. The adjustment of adding on 180 still applies like from before.
Please help I'll mark brainliest
Answer:
The final answer is 16.
Gd luck with your work! :)
Answer:
Step-by-step explanation:
okay okay what is emoji aaaaa
okay okay what is emoji aaaaa
A composite figure is shown. What is the volume for the composite figure
The volume of the composite fiqure as shown in the diagram above is 300 cm³.
What is a composite fiqure?A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.
Note: The composite fiqure is made up of two different cubiods
To calculate the volume of the composite fiqure, we use the formula below.
Formula:
V = lbH+Lbh........... Equation 1Where:
V = Volume of the composite fiqureGiven:
l = 4 cmb = 5 cmH = 9 cmL = 6 cmb = 5 cmh = 4 cmSubsitute these values into equation 1
V = (4×9×5)+(6×5×4)V = 180+120V = 300 cm³Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.
Learn more about composite volume here: https://brainly.com/question/15981553
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Answer:
1200 more beats in 3 seconds or
400 more beats in 1 second
Step-by-step explanation:
A Mosquito beats its wings at a rate of 600 times per second.
A honey bee beats its wings at a rate of 200 times per second.
600 - 200 = 400
The mosquito beats 400 more times per second
400 X 3 = 1200
Help picture below problem 14
Answer:
value of missing angle is..57°
Step-by-step explanation:
mark me brainliest
54° and 69°
to find:the missing angle of the triangle.
solution:let's consider the missing angle as n.
sum of interior angle of triangle= 180°
n+54°+69°= 180° (adding up to sum of interior angle of triangle)
n+123°= 180°
n= 180°-123°
n= 57°
solve the system of equations:
-3x + 7y = -15
3x + 5y = 15
what do X and Y equal?
Answer:
x=5
y=0
Step-by-step explanation:
Let's solve the system of equations through elimination
Solving by elimination is when you add or subtract one equation by the other to eliminate one variable
In this case, adding 3x and -3x would cancel each other out so we should add the equations
[tex]-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0[/tex]
Now solve for y
Divide both sides by 12 to isolate y
[tex]12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0[/tex]
Now sub in the value of y into one of the original equations and solve for x
[tex]3x+5y=15\\3x+5(0)=15\\3x=15\\[/tex]
Divide both sides by 3 to isolate x
[tex]\frac{3x}{3} =\frac{15}{3} \\x=5[/tex]
(2x > 10) list some values for x that would make this inequality true
Answer:
6 , 7 , 8 , 9...
Step-by-step explanation:
2x > 10
x > 5
then
x = 6 , 7 , 8, 9...
I think that I am right and also think this will helpful to you.....
Solve for the value of k.
(k+1)°
42°
The length of the longer leg of a right triangle is 13 m more than three times the length of the shorter leg. The length of the hypotenuse is 14 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: 0 m Length of the longer leg: in Length of the hypotenuse:
Answer:17
Step-by-step explanation: