Answer:
Equation of the line is 3y = -5x + 8
Step-by-step explanation:
Slope:
[tex]{ \bf{m = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }}[/tex]
substitute:
[tex]{ \sf{m = \frac{1 - 6}{1 - ( - 2)} }} \\ { \sf{m = - \frac{5}{3} }}[/tex]
General equation of a line:
[tex]{ \boxed{ \pmb{y = mx + b}}}[/tex]
b is the y-intercept.
Consinder point (1, 1):
[tex]{ \sf{1 = ( - \frac{5}{3} \times 1) + b}} \\ { \sf{b = \frac{8}{3} }}[/tex]
Substitute:
[tex]{ \sf{y = - \frac{5}{3} x + \frac{8}{3} }} \\ \\ { \sf{3y = - 5x + 8}}[/tex]
HELPPPPPPPPPPP PLSSSSSSSSSSSSS
Answer:
6a+17
Step-by-step explanation:
This is an algebra 'expression' where you have to rearrange the question to the correct 'expression'
4a+2a= 6a
8+9= 17
Answer:
= 4a+2a+8+9
=6a+17
What is the midline equation of the function h(x) = -4 sin (x- pi/4)
Answer:
[tex]y = \boxed0[/tex]
Step-by-step explanation:
we are given a sin function
[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) [/tex]
we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,
[tex] \displaystyle f(x) = a \sin(bx -c) + d[/tex]
where the midline is
[tex]y = d[/tex]to figure out the midline rewrite the function
[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0[/tex]
therefore the midline is
[tex]y = \boxed0[/tex]
Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a point with an x - value of 1 and if it doesn't show an x - value of 1 .
tienees que fijartelos extrreemos
art I) 69% 2
Amelia is 1.5 m tall. She is standing in front of a tree. Her friend places a
mirror on the ground and moves it until Amelia can see the top of the tree.
The mirror is 4 m from Amelia and 12 m from the tree. How tall is the tree?
a
Answer:
Step-by-step explanation:
this is a question about two similar triangles , one is from Amelia , the other is the tree.
1.5/4 = x/12
solve for x
4.5 = x
the tree is 4.5 meters tall
Pls help me this is my homework
Answer
34 match sticks (C)
please mark me as brainliest and pls someone answer my question also
Answer:
Step-by-step explanation:
for first question your pattern is 3x+4 then 3(10)+4=34.. I mean your answer is part c
in second picture if your mean is 7 question, the answer is part 1. w=p/2_125 can not be the answer.
if your mean is 8 question, it's answer is point S. because x=5 &y=-25 then 5-(-25)=+30 it means point S.
but if your mean is the 6 question,it's answer is part 1..it means 3e+5c+2(1)
What conclusion can be derived by comparing the central tendencies of the two data sets?
A: (7, 6, 3, 1, 6, 2, 4, 6, 3, 5;
B: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}
help help help pls pls
Answer:
abcd is a quadrilateral so ,
a is ( 0,-5 )
b is ( 2,-5 )
c is ( 1,-7 )
and d is ( 0,-7 )
Chloe was given a gift of a conical bird feeder that has a volume of 785.4 cubic centimeters. What is the area of the lid she will need to cover the bird feeder?
Answer:
392.7 cubic centimeters. Hope that helps :)
Step-by-step explanation:
Please help me find this angle
Answer:
x = 78
Step-by-step explanation:
We can find angle y
D + B + y = 180 since the sum of the angles of a triangle are 180
31+47+ y =180
78+y = 180
y = 180 - 78
y = 102
x+y = 180 since they form a straight line
x + 102 = 180
x = 180-102
x = 78
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
we have to find the value of the x°=<GHC
In the triangle BDH,
<D=31°<B=47°we know that,
Sum of three angle of a triangle is 180°
According to the question,
<D+<B+<BHD=180°31°+47°+<BHD=180°78°+<BHD=180°<BHD=180°-78°<BHD=102°But,
<GHC and <BHD forms a straight line
so,
<GHC+<BHD=180°102°+x=180°x=180°-102°x=78°Therefore,
The value of x is 78°
зх:
90
Х
2х:
What is the value of x?
Answer:
60
Step-by-step explanation:
To get the value of x;
3x:90
(90/3) = 30
x = 30
To get the value of 2x;
(2×X);
2 × 30
=60
Round 832.078107648 to the nearest whole number
Answer:
8.32*10^2 or
832.08
Step-by-step explanation:
Maxine is taking 5 gallons of drinking water on a camping trip. How many quarts of drinking water is Maxine taking on the camping trip?
Answer:
20 quarts
Step-by-step explanation:
There are 4 quarts in a gallon
5 gallons * 4 quarts / 1 gallon = 20 quarts
Answer:
20 US quarts
Step-by-step explanation:
there are 4 quarts in a gallon so you have to multiply 5 x 4 to get the total amount of quarts in a gallon.
Hope it helps c:
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tir2
3 in.
Area = [?] inches?
Enter the number that
belongs in the green box.
Enter
Pls someone help
Answer:
28.26
Step-by-step explanation:
A = (3.14)(3)^2
A = 3.14 * 9
A = 28.26
Answer:
28.26
Step-by-step explanation:
The area of a circle is
A = pi r^2 where r is the radius
A = 3.14 ( 3)^2
A = 3.14 *9
28.26
Ming drew the model to represent the equation 24+12=_x(8+4). What is the missing value in Ming's equation 3 4 12 24
Answer:
3 is the missing value
Step-by-step explanation:
Given
[tex]24 + 12 = \_ * (8 + 4)[/tex]
Required
Complete the blank
The model is not given; but the question can still be solved.
We have:
[tex]24 + 12 = \_ * (8 + 4)[/tex]
Add 8 to 4
[tex]24 + 12 = \_ * 12[/tex]
Add 24 to 12
[tex]36= \_ * 12[/tex]
Divide both sides by 12
[tex]3= \_[/tex]
Rewrite as:
[tex]\_ = 3[/tex]
Hence, the blank will be completed with 3
Answer:
a
Step-by-step explanation:
edg 2021
Determine which quadratic equations have
2 real solutions. Select two that apply.
Answer:
A & D
First and last
Step-by-step explanation:
what is x: |3x-1| = 4
Step-by-step explanation:
here's the answer to your question
Which rule is a recursive rule for the sequence 1, -6, 36, -216,...?
( I'll put the answers a screenshot )
PLZZ Help I've been stuck for so long
Answer:
The last answer
Step-by-step explanation:
We can check
For example,
a5=-6×a4
a5=-6×(-216)
a5=1296
Which function of x has the least value for they intercept?
a recipe for a cake calls for 5 1/10 cups of sugar Anjali accidentally puts in 5 3/4 cups how much extra did she put
Answer:
2/15
Step-by-step explanation:
I think not 100% on this but not so sure-
Subtract 5 1/10 from 5 3/4
5 3/4 - 5 1/10
• Subtract the whole numbers (5 and 5)
5 - 5 = 0
• LCM of the denominators (4 and 10)
= 13/20
She put an extra 13/20
Find the distance between (-5,5) and (2,-2)
Answer:
The distance is 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The formula for \underline{distance between} is: }\mathsf{\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}}[/tex]
[tex]\large\textsf{Whereas }\mathsf{x_2}\large\textsf{ is }\mathsf{2}\large\textsf{ and }\mathsf{x_1}\large\textsf{ is }\mathsf{ -5}\\\\\large\textsf{And also }\mathsf{y_2}\large\textsf{ is }\mathsf{ -2}\large\textsf{ and }\mathsf{ y_1}\large\textsf{ is }\mathsf{5}[/tex]
[tex]\mathsf{\sqrt{(2 - -5)^2+ (-2 + 5)^2}}\\\mathsf{2 - -5}\\\mathsf{= 2 + 5}\\\mathsf{= \bf 7}\\\\\mathsf{-2 + 5}\\\mathsf{= \bf -7}\\\\\mathsf{= \sqrt{(7)^2+ (-7)^2}}\\\\\mathsf{7^2}\\\mathsf{= 7\times7}\\\mathsf{= \bf 49}\\\\\mathsf{(-7)^2}\\\mathsf{= -7\times-7}\\\mathsf{= \bf 49}\\\\\mathsf{= \sqrt{49 +49}}\\\\\mathsf{49+49}\\\mathsf{=\bf 98}[/tex]
[tex]\mathsf{= \sqrt{98}}\\\mathsf{= 7\sqrt{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf 7\sqrt{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve the system of equations.
6x – Зу = 3
-2x + y = 14
1.What number would you multiply the second equation
by in order to eliminate the x-terms when adding to the
first equation?
2.What number would you multiply the first equation by in
order to eliminate the y-terms when adding to the
second equation?
Answer:
1. Multiply by 3
2. Multiply by 1/3
Step-by-step explanation:
6x - 3y = 3
-2x + y = -14
1. In order to eliminate the x-terms, they would both have to equal the same number with opposite signs (positive and negative). Since we are only touching the second equation, how can we get from 2 to 6? We can multiply 2 by 3 to get to 6 (negative 6 in the end.) This would result as follows:
6x - 3y = 3
-6x + 3y = 42
2. In order to eliminate the y-terns through multiplying with the first equation, we have to figure out how to make 3y into 1y. We can do this by adding its reciprocal, 1/3. 1/3 × 3 = 1. This would result as follows:
2x - y = 1
pls help and pls provide workings
(x-h)²+(y-k)²=r²
(3-h)²+(3-0)²=5²
h²-6h+9+9=25
h²-6h-7=0 —> (h-7)(h+1)=0
h=7 , h=-1
h=7 —> (x-h)²+y²=r² —> (x-7)²+y²=25 —>
x²-14x+49+y²=25 —> x²+y²-14x+24=0
h=–1 —> (x-h)²+y²=r² —> (x+1)²+y²=25 —>
x²+2x+1+y²=25 —> x²+y²+2x–24=0
I hope it helped you ^_^
which set of ordered pairs represent a function
Answer:
A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.
Step-by-step explanation:
Three tennis balls that fit in cylindrical tennis ball cane. If each ball is 14 inches in diameter, what is the volume of air left between the balls and the cane
Given:
Diameter of the tennis ball = 14 inches.
Three tennis balls are fit in a cylindrical tennis ball cane.
To find:
The volume of air left between the balls and the cane.
Solution:
Diameter of the tennis ball = 14 inches.
Radius of the tennis ball = 7 inches
Radius of tennis ball is equal to radius of cane. So,
Radius of the cane = 7 inches
Height of cane is:
[tex]3\times 14=42[/tex] inches
Volume of a ball is:
[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]
Where, r is the radius of the ball.
So, the volume of 3 ball is:
[tex]V_2=3\times V_1[/tex]
[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]
[tex]V_2=4312[/tex]
Volume of the cane is:
[tex]V_3=\pi r^2h[/tex]
Where, r is the radius of the cane and h is the height of the cane.
[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]
[tex]V_3=6468[/tex]
Now, the volume of air left between the balls and the cane is:
[tex]V=V_3-V_2[/tex]
[tex]V=6468-4312[/tex]
[tex]V=2156[/tex]
Therefore, the volume of air left between the balls and the cane is 2156 cubic inches.
What would be the denominator after rationalizing 7/(5√3 - 5√2)?
Answer:
The denominator will be [tex]5\sqrt{3} +5\sqrt{2}[/tex]
Step-by-step explanation:
Please help me asap! I don’t understand
Answer:
18
Step-by-step explanation:
4*3 = 12
1/2 * 3 * 4 = 6
SOMEONE PLEASE HELP ME ASAP !!!
Mrs. Pregnals's biology classes are going on a field trip. She has them break into groups of three or four students in order to do labs. She has a total of 120 students and 32 total groups are formed.
If t represents the number of three person groups and frepresents the number of four person groups, then write a system of equations that models this situation.
How many four person groups are there? Only an algebraic solution will receive full credit.
PLEASE HELP !!!!
x + y = 32 (1)
3x + 4y = 120 (2)
x = 8; y = 24
Step-by-step explanation:
Total students = 120
Number of groups = 32
If the number of three person groups = x
Number of four person groups = y
write a system of equations that models this situation
x + y = 32 (1)
3x + 4y = 120 (2)
From (1)
x = 32 - y
Substitute x = 32 - y into (2)
3(32 - y) + 4y = 120
96 - 3y + 4y = 120
- 3y + 4y = 120 - 96
y = 24
Substitute y = 24 into (1)
x + y = 32
x + 24 = 32
x = 32 - 24
x = 8
x = 8; y = 24
Evan tosses a ball from the roof of a building. The path of the ball can be modelled
by the following equations where h represents the height of the ball in meters and
t represents the time in seconds. Each equation below represents the EXACT same
path. Using the information you can obtain from these equations, answer the
following questions.
nu = -4(t + 1)(t-5)
h2 = -4/t - 2)2 + 36
hz = -4t? + 16 + 20
Draw a detailed SKETCH representing the path of the ball. Be sure to include titles
for your axes, appropriate scales, and critical points such as initial value, vertex and
roots of the parabola.
Answer:
Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel
Step-by-step explanation:
Question;
The equation representing the path of the ball obtained from a similar question posted online are;
h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20
The above equations represent the same path
The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t
At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level
The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0
The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;
The vertex of the ball = The maximum height reached by the ball = (h, k) = (2, 36)
The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape
The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached
Choose ALL of the ordered pairs that are solutions to the equation.
5y = 2x - 7
a) (6, 0)
b) ( 7, 21)
c) (8, 18)
d) ( -3, 4)
b) ( 7, 21)
Step-by-step explanation:
5(7)=2(21)-7
35=42-7
35=35
Answer:
None of them
Step-by-step explanation:
a: 5*0=2*6-7 False
b: 5*21=2*7-7 False
c: 5*18=2*8-7 False
d: 5*4=2*-3-7 False
Rationalise the denominator of
2√3 + 3√2/4√3 +√2
Answer:
[tex]\frac{9+ 5\sqrt{6} }{23}[/tex]
Step-by-step explanation:
2√3 + 3√2 * 4√3 -√2
4√3 +√2 4√3 -√2
multiply by conjugate
2√3 + 3√2 * 4√3 -√2 = 18 +10√6 = 9 +5√6
4√3 +√2 4√3 -√2 46 23
Answer:
Step-by-step explanation:
To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.
Conjugate of 4√3 + √2 is 4√3 - √2
(2√3 +3 √2)(4√3 - √2) = (2√3 * 4√3) - (2√3*√2) + (3√2*4√3) -(3√2*√2) {Use FOIL method}
= 8*3 - 2*√6+12√6 -3*2
= 24 -2√6 +12√6 - 6
= 24 - 6 + (-2+12)√6)
= 18 + 10√6
[tex]\frac{2\sqrt{3}+3\sqrt{2} }{(4\sqrt{3}+\sqrt{2} }\\\\=\frac{(2\sqrt{3}+3\sqrt{2})(4\sqrt{3}-\sqrt{2}) }{(4\sqrt{3}+\sqrt{2} )(4\sqrt{3}-\sqrt{2} )}\\\\=\frac{18+10\sqrt{6} }{(4\sqrt{3})^{2}-(\sqrt{2})^{2} }\\\\=\frac{18+10\sqrt{6} }{48-2}\\\\=\frac{18+10\sqrt{6} }{46}\\\\\\=\frac{2(9+5\sqrt{6} )}{46}\\\\=\frac{9+5\sqrt{6} }{23}[/tex]
