9. Consider the line y = 4x+9. If a second line is perpendicular to this one, what is its slope? please show your work, i will mark brainliest!
Answers
Answer:
Slope of the line perpendicular to the given line = [tex]- \frac{1}{4}[/tex]
Step-by-step explanation:
If two are lines are perpendicular to each other,
the product of their slopes = - 1 .
That is ,
[tex]m_ 1 \times m_2 = -1[/tex]
Slope of the given line :
[tex]m_ 1 = 4[/tex]
Hence slope of the line perpendicular to it :
[tex]4 \times m_ 2 = - 1 \\\\\frac{4}{4} \times m_2 = - \frac{1}{4} \\\\1 \times m_2 = - \frac{1}{4}\\\\m_ 2 = \frac{-1}{4}[/tex]
The slope of the line perpendicular to the equation y = 4x + 9 is m = -1/4
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = 4x + 9 be equation (1)
The equation is of the form y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
Slope m = 4
Now , the second line is perpendicular to the line A , the product of slopes of the lines will be -1
So , m₁ x m₂ = -1
4 x m₂ = -1
Divide by 4 on both sides of the equation , we get
m₂ = -1/4
Therefore the value of m₂ is -1/4
Hence , the slope of the line is m₂ = -1/4
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Related Questions
If the function f is given by f(x)= 4x -3, find the value of f(2+h)
Answers
[tex]\\ \sf\longmapsto f(2+h)[/tex]
[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]
[tex]\\ \sf\longmapsto 4h+8-3[/tex]
[tex]\\ \sf\longmapsto 4h+5[/tex]
Can someone help me with this
Answers
Answer:
Step-by-step explanation:
The standard form for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] and what's important here is that the x- and the y- remain that way in the equation. Filling in our values,
[tex](x-(6))^2+(y-(-3))^2=25[/tex] which tells us that our center is
6 and -3 -------------------> (6, -3)
The radius is the square root of 25 which is 5.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answers
Given that :
Diameter (d) = 18 cm
Pi (π) = 3.14
Radius (r) = d/2 = 18/2 = 9 cm
We know that volume of sphere is
Volume of Sphere = 4/3πr³
Volume = 4/3 × 3.14 × (9)³
Volume = 4/3 × 3.14 × 729
Volume = 4 × 3.14 × 243
Volume = 12.56 × 243
Volume = 3052.08
Hence, the volume is 3052.08 cm³
if set a is 12345 and Set B is 23 find a union B and find a intersection b
Answers
Answer:
a union b= {1,2,3,4,5}
a intersection b ={2,3}
Step-by-step explanation:
The union of two sets A and B is a set that contains all the elements of A and B and is denoted by A U B
the set composed of all elements that belong to both A and B is A intersection B (A ∩ B)
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answers
Answer:
Value of tan( π/3 ):
[tex]{ \tt{ \frac{\pi}{3} = \frac{180}{3} = 60 \degree }}[/tex]
60° lies within the first quadrant.
[tex]{ \sf{ \tan( \frac{ \pi}{3} ) = ( \frac{1}{2} , \: \frac{ \sqrt{3} }{2}) }}[/tex]
Since it's a half:
[tex]{ \boxed{ \sf{ \tan( \frac{\pi}{3} ) = \sqrt{3} }}}[/tex]
Length of hypotenuse:
[tex]{ \bf{ \sin(31 \degree) = \frac{16.5}{h} }} \\ { \sf{h = 32.04}}[/tex]
Hypotenuse = 32.0
James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that
the rays must be collinear
the rays must form a right angle
the rays must have a common endpoint
the rays must continue in one direction forever
Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
Defined term
Postulate
Theorem
Undefined term
Answers
James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.
The statement of james should be precise in order to clearly explain the angle formation.
The two non collinear rays will form an angle at end point where they meet with each other.
The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.
Learn more at https://brainly.com/question/24373158
1: The rays must have a common endpoint
2: Defined term
I took the test and got both right :))
WILL GIVE BRAINLIEST:
Elanor wants to estimate the number of frogs in a reservoir.
She catches 90 frogs from the reservoir and marks them with a non-harmful dye.
Elanor then returns the frogs to the reservoir.
The next day she catches another 70 frogs and 10 of these are marked with the dye.
Work out an estimate for the total number of frogs in the reservoir.
Answers
Answer:
approximately 150 frogs
Step-by-step explanation:
To find your estimate, you have to add 90 + 60 because from the 70 that Elanor caught the second day, 10 of them were the ones that she had caught the day before so you have to do 70 - 10 = 60. Therefore, 90 + 60 = 150 estimated frogs.
Divide : 12a²b³ 6a²b by 3ab
Answers
Answer:
easy
Step-by-step explanation:
4ab³6a²b
Answer:
[tex] \frac{12 {a}^{2} {b}^{3} 6 {a}^{2}b }{3ab} \\ thank \: you[/tex]
56 is less than the square of 10
Answers
From the given condition, we get X = X^2–56
=> X^2-X-56=0
Factorizing the above equation,
=> X^2–8X+7X-56=0
X(X-8)+7(X-8)=0
(X-8)(X+7)=0
X=8 or -7
Since it is said the number is positive. Our output number will be 7
If a quadratic equation is written in intercept form, y = (x-3)(x+5), then vertex is at...
Answers
Answer:
The vertex is at (-1, -16).
Step-by-step explanation:
We are given the quadratic equation:
[tex]y = (x-3)(x+5)[/tex]
And we want to find its vertex.
Recall that the x-coordinate of the vertex is also the axis of symmetry. Since a parabola is symmetric about the axis of symmetry, the axis of symmetry is halfway between the two roots.
From the equation, we can see that our two roots are x = 3 and x = -5.
Hence, the axis of symmetry or the x-coordinate of the vertex is:
[tex]\displaystyle x = \frac{(3) + (-5)}{2} = -1[/tex]
To find the y-coordinate of the vertex, evaluate the equation at x = -1:
[tex]\displaystyle \begin{aligned} y(-1) &= ((-1)-3)((-1)+5)\\ &= (-4)(4) \\&= -16\end{aligned}[/tex]
Hence, the vertex is at (-1, -16).
A 5 m high flagpole casts a shadow 4 m in length. What is the height of a tree that casts a shadow of 20 m at the same time?
Answers
Answer: 16m
Step-by-step explanation:
If we're assuming the ratio of height to shadow lenght is the same then
5:4
also equals
20:16
so the tree is 16 m tall
The number n is doubled and then has y added to it. The result is then divided by 2 and has the number n subtracted from it, the final result is
Answers
Answer:
[tex]\frac{y}{2}[/tex]
Step-by-step explanation:
n is doubled: 2n
y added: 2n + y
divided by 2: n + [tex]\frac{y}{2}[/tex]
n subtracted -> final resutl: [tex]\frac{y}{2}[/tex]
Find the point on y axis which is equidistant from the point (5,-2) and (-3,2)
Answers
Answer:
(0, -2)
Step-by-step explanation:
a point on the y-axis. that means x=0.
so, the distance of (5, -2) to (0, y) is the same as the distance from (-3, 2) to (0, y).
the distance between (5, -2) and (0, y) is based on Pythagoras (the differences in x and y directions are the sides of a right-angled triangle, and the distance is its Hypotenuse, its baseline) :
distance² = (5-0)² + (-2 - y)² = 25 + 4 + 4y + y² = 29+4y+y²
but it is also
distance² = (-3-0)² + (2 - y)² = 9 + 4 - 4y + y² = 13 - 4y + y²
so, we get
29 + 4y + y² = 13 - 4y + y²
29 + 4y = 13 - 4y
16 = -8y
y = -16/8 = -2
their, the point on the y-axis being equidistant to both points is (0, -2)
I NEED HELP !!!
Find the measure of SR.
A.10
B.8
C.7
D.11
Answers
The measure of SR is 10.
The given figure has two secant segments and two external segments.
QU = secant segment
QS = secant segment
QP = external segment of QU
QR = external segment of QS
We need to find the measure of SR.
What is the theorem when two secant segments share the same endpoint outside a circle?It states that the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.
Applying the secant theorem in the given figure.
QU x QP = QS x QR
( 9 + 7 ) x 9 = (8 + 3X-5) x 8
16 x 9 = (3 + 3X) x 8
144 = 24 + 24X
144 - 24 = 24X
120 = 24X
X = 120 / 24
X = 5
Now Putting X = 5 in SR = 3X-5
We get,
SR = 3 x 5 - 5
SR = 15 - 5
SR = 10
After applying the secant segment theorem we got the measure of SR as 10.
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What is the solution, if any, to the inequality |3x|20?
all real numbers
solution
no
x>0
x
Answers
Answer:
20×2=40bnmcsshjvghjpiutewqadgjlmbcz
Answer: all real numbers
Step-by-step explanation:
Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!
Answers
Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
Which decimal is equivalent to 48 over 100
a. 0.048
b. 0.48
c. 4.08
d. 4.8
Answers
Answer:
0.48
Step-by-step explanation:
hope it can work for you mark me as a brain liest
What is his weekly allowance if he ended with $15?
Answers
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
Answers
Answer:
8 / sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = BC / AC
tan 30 = BC / 8
8 tan 30 = BC
8 * sqrt(3)/3 = BC
8/3 sqrt(3) = BC
Find the domain and range of the function. Use a graphing utility to verify your results. (Enter your answers using interval notation.)
Answers
Answer:
Step-by-step explanation:
sorry it should be the second one for the interval notations
HELP ASAP ILL GIVE BRAINLIST
t/f Elimination will give you an exact answer to a system of equations.
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
Answers
Answer:
TRUE Elimination will give you an exact answer to a system of equations.
FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.
Simplify the expression. What classification describes the resulting polynomial?
(8x+3x) - (12x2 - 1)
O A quadratic binomial
O B. quadratic trinomial
ОС.
linear monomial
OD.
linear binomial
Answers
Answer:
The correct choice is option B. quadratic trinomial
Step-by-step explanation:
The answer is in quadratic trinomial because a quadratic trinomial is an expression in the form of ax^2 + bx + c and this is exactly how our final solution looks like.
Find the surface area of the
triangular prism.
7 cm
66 cm
7 cm
cm
5 cm
[?] sq cm
Enter
Answers
Answer:
169 sq cm
Step-by-step explanation:
A car travels 25 m/s for 30 seconds. What distance did the car travel ?
Answers
Answer:
750 meters
Step-by-step explanation:
Answer:
750m
Step-by-step explanation:
Distance= Speed x Time
Speed = 25m/s
Time = 30s
Distance = 25 x 30
= 750 m
Identify the parent function that can be used to graph the function f(x)=- 9(x + 5)2.
a. Fx) = x2
c. Fx) = x
b. Fx) = [x]
Please select the best answer from the choices provided
Ο Α
OB
Ос
Answers
not sure
Answer:
A. f(x) = x²Step-by-step explanation:
Given function:
f(x) = - 9(x + 5)²This is quadratic function.
The simplest form of a quadratic function is:
f(x) = x²Correct choice is A
Express in terms of power =(3x) ×(3x)× (3x)× (3x)
Answers
Answer:
3x^4
Step-by-step explanation:
3x • 3x • 3x • 3x = 3x^4
said like “3x to the 4th power”
Answer:
[tex](3x)^4}[/tex]
Step-by-step explanation:
further it can represent as [tex]3^{4} x^{4}[/tex]
Please help with my math homework
Answers
Answer:
Down here:
Step-by-step explanation:
a. 1 , 3 , 9 , 27 , 81, 243, 729
rule, multiply by 3
b. 8, 7, 9, 8, 10, 9, 11, 10, 12
rule, -1 then +2
c. 100, 50, 25, 12.5, 6.25, 3.125
rule, divide by 2
d. 1, 4, 9, 16, 25, 36, 49
rule +3, +5, +7, +9, +11.....
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A trapezoid has two basses that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid? A) 95 cm2. B) 64 cm2. C) 47.5 cm2. D) 24 cm2
Answers
Answer:
C.47,5cm²
Step-by-step explanation:
Andre ran 512 laps of a track in 8 minutes at a constant speed. It took Andre x minutes to run each lap. Select all the equations that represent this situation.
Answers
Answer:
(512)x=8 and 512−x=8
Step-by-step explanation:
9. Find cos X. Put the fraction in simplest form.
50
X
Z
30
40
Answers
Answer:
3/5
Step-by-step explanation:
cos X = Adjacent/Hypotenuse
cos X = 30/50
= 3/5
Answer:
Answer 3/5
Step-by-step explanation:
cos(X)=XY/XZ=30/50=3/5
