Answer: [tex]y=-5x+21[/tex]
Step-by-step explanation:
In slope intercept form : y=mx+c , m= slope , c= y-intercept.
Let [tex]L_1[/tex] be the line passing through (5, -4) and perpendicular to [tex]L_2: 2x-10y=0[/tex].
Rewrite [tex]L_2[/tex] in slope-intercept form
[tex]10y=2x\Rightarrow\ y=0.2x+0[/tex]
Here, Slope of [tex]L_2[/tex] = m = 0.2
Let n be slope of [tex]L_1[/tex] .
Then [tex]m\times n=-1[/tex] [Product of slopes of perpendicular lines is -1.]
[tex]\Rightarrow\ n=\dfrac{-1}{m}=\dfrac{-1}{0.2}\\\\\Rightarrow\ n=-5[/tex]
Equation of a line that passes through (a,b) and have slope 'm' is given by :-
[tex](y-b)=m(x-a)[/tex]
So, Equation of [tex]L_1[/tex] :
[tex](y-(-4))=-5(x-5)\\\\\Rightarrow\ (y+4)=-5x+25\\\\\Rightarrow\ y=-5x+21[/tex]
HELP!!!! NEED HELP ASAP!!! WILL MARK BRAINLIST!!!!
Answer:
Step-by-step explanation:
Let's consider an exponential function as,
f(x) = 2ˣ
Now we prepare the input-output value table to get the ordered pairs to be plotted.
f(x) 0.25 0.5 1 2 4 8
x -2 -1 0 1 2 3
By plotting these points we get the graph as attached.
Therefore, second option in the last attachment will be the correct option.
What is the equation in standard form of the line y=1/9 x +5?
Work Shown:
[tex]y = \frac{1}{9}x+5\\\\9y = x+45\\\\9y-45 = x\\\\-45 = x-9y\\\\x-9y = -45\\\\[/tex]
The last equation is in the form Ax+By = C where A = 1, B = -9, C = -45
In the second step, I multiplied each term by 9 to clear out the fraction.
From 94 miles to 34 miles
Answer:
huh
Step-by-step explanation:
I need help with this question plsss
Plzz help meeee quickkk!!!
Answer:
[tex]D.x=35[/tex]
Step-by-step explanation:
[tex]As\ we\ observe\ that,\ all\ sides\ of\ the\ triangle\ are\ marked\ equal,\ the\ triangle\\ provided\ is\ equilateral.\\This\ implies\ that\ all\ the\ angles\ of\ an\ equilateral\ triangle\ are\ equal\ and\\ measure\ 60\ degree.[Through\ Angle\ Sum\ Property]\\Hence,\\(2x-10)=60\\2x-10+10=60+10[Adding\ 10\ to\ both\ the\ sides]\\2x=70[Simplifying]\\x=\frac{70}{2}[Dividing]\\x=35[Finding\ the\ value\ of\ x]\\[/tex]
Find the magnitude of angle A if cos A = 0.5
Step-by-step explanation:
[tex]A = {cos}^{ - 1} 0.5 \\ \: \: A= 60[/tex]
AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce.
a) Mr. Molinari noticed that his package would cost the same to mail using either service. Write an equation to represent this situation.
b) How much does Mr. Molinari’s package weigh?
a. The equation that both services would cost the same is
0.25x + 5 = 0.35x + 2.
b. The weight of Mr. Molinary's package is 30 ounces.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce.
United Packages charges $2 plus $0.35 per ounce.
Assuming the no. of ounces to be x.
∴ 0.25x + 5 = 0.35x + 2.
0.25x - 0.35x = 2 - 5.
- 0.1x = - 3.
x = 3/0.1
x = 30 ounces.
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PLEASE HELP INWILL GIVE BRAINLIEST
Answer:
$960
Step-by-step explanation:
30^2 is 900
30x2 is 60
900+60 is 960.
Hope this helps plz hit the crown :D
7
Find the value of the expression. Z + 2y for y = 6 and z = 1
Answer:
13
Step-by-step explanation:
1+2×6=13
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Need help!!!!!! ASAP
Answer:
og
Step-by-step explanation:
m is the midpoint of pq. pm= 9x+3 and mq= 11x-17, find x and pq
The values of x = 5 and pq = 86.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that m is the midpoint of pq,
pm= 9x+3 and mq= 11x-17
⇒ 9x + 3 = 11x - 7
⇒ 3 = 11x - 9x -7
Rearrange the likewise terms and apply the arithmetic operations,
⇒ 3 = 2x - 7
⇒ 10=2x
⇒ x = 10/2
Divided by 2
⇒ x = 5
⇒ pq = 20x-14
⇒ pq = 20*5-14
⇒ pq = 86
Hence, the value of pq is 86.
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Find the complete factored form of the
polynomial:
-9a666 - 12ab6
Enter the correct answer.
000G
DONE
Clear all
GE
Answer:
(0 - (9 • (a^666))) - (22•3ab^6)
(0 - 32a^666) - (22•3ab^6)
-12ab^6 - 9a^666 = -3a • (4b^6 + 3a^665)
Final result :
-3a • (4b^6 + 3a^665)
Step-by-step explanation:
Starting at 11:00 pm a bus makes a stop every 27 minutes. Also starting at 11:00pm a taxi makes a stop every 18 minutes. What is the next time there will be a bus and the taxi at the same place and the same time.
Answer:
11:54pm
Step-by-step explanation:
Key details in the Question:
- Starting at 11:00 pm a bus makes a stop every 27 minutes.
- starting at 11:00pm a taxi makes a stop every 18 minutes.
The task is to find the time in which both the bus and taxi would make a stop.
Since the taxi has the shorter duration for a stop, we would use it as the basis for our calculations.
During the first taxi stop - 11:18pm
The Bus has not yet made its stop.
During the second taxi stop - 11:36pm
The Bus has made it's first stop (11:27pm) but is currently on the road.
During the third taxi stop - 11:54pm
The Bus would also be making it's second stop
A ruler is used to measure the width of the spine of a book.
1
2
3
4
5
СМ
Using this ruler, what is the greatest level of precision possible for the measurement of the width of the
spine of the book?
1.00 cm
0 0.10 cm
0.02 cm
0.01 cm
Answer:
1.00 cm Is the greatest level of precision possible for the measurement of the width of the spin of the book
A square has sides of length S inches. Suppose the perimeter of the square is P inches, and it's area is A square inches. If P = A, then what's the value of S? (Please show work I need help:(
Step-by-step explanation:
The answer has to be 4.
4×4=16
4+4+4×4=16
u = 4i + 9j
8= -8j
Find: u +g
Answer:
4i + j
Step-by-step explanation:
I think you meant g instead of 8.
Given:
u = 4i + 9j
g = -8j
u + g
(4i + 9j) + (-8j)
4i + j
rotation 90° clockwise about the origin
Answer:
point s at (0,5) point t at (5,3) point u at (4,1)
Step-by-step explanation:
happy life
If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel.
State a geometric model that could be used to represent a truck passing through the tunnel.
Answer:
TUNNEL:
f(x) = -2/4.9 [tex]x^{2}[/tex] + 9.8
TRUCK:
Width (m) < 9.8
Height (m) < -2/4.9 ( [tex]Width^{2}[/tex] /4 - [tex]4.9^{2}[/tex] )
Step-by-step explanation:
Please see attachment
If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.
What is a quadratic function?Any function of the form[tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
It is given that, If the maximum height of the tunnel is the same as its maximum width, 9.8 meters.
We have to determine a quadratic model to represent the tunnel.
The quadratic function is formed as,
f(x) =K(x-x₁)(x-x₂)
x₁=width/2
x₁=9.8/2 = 4.9
x₂= -x₁ = -4.9
Substitute the obtained value as,
f(x) = K(x-4.9)(x-(-4.9))
f(x) =K(x²-4.9²)
f(0)=9.8
The value of K is obtained as a result,
K=-2×4.9/(4.9)²
K= -2/4.9
Substitute the value of K as,
f(x) = -2/4.9(x²-4.9²)
f(x) = (-2/4.9)x²+2×4.9
f(x)= (-2/4.9)x²+9.8
Thus, if the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.
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Choose the equation that represents a line that passes through points (-1,2) and (3, 1).
Answer:
B) x + 4y = 7
Step-by-step explanation:
Hope this helps. Pls give brainliest.
When hitting the ski slopes, which location do skiers have the most potential energy
Answer:
at the top of the mountain or hill
Step-by-step explanation:
potential energy is stored energy so therefore the higjestpoint will have the most potential energy.
The skier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position).
What is Kinetic Energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
The skier has a lot of potential energy because they are starting from an elevated position (i.e., energy of vertical position).
If the skier is starting from rest, all of their mechanical energy is potential energy.
and, Potential energy is lost and kinetic energy, or the energy of motion, is acquired as the skier starts the ascent down the hill.
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what is the answer for -2p > -16
Answer:
p<8
Step-by-step explanation:
We multiply both sides by -1 to get
But remember, when you do that you reverse it, so we turn > into a <
2p<16
we divide both sides by 2
p<8
Hope this helps :)
Answer:
p < 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-2p > -16
Step 2: Solve for p
Divide -2 on both sides: p < 8Here we see that any number p smaller than 8 would work as a solution to the inequality.
Derek has 4.8 pounds of potting soil he puts equal emounts in 8 pots how many pounds of potting soil are in each pot
Answer:
0.6g
Step-by-step explanation:
Derek has 4.8 pounds of potting soil
He shares it equally into 8 pots
Therefore the amount in each pots can be calculated as follows
= 4.8/8
= 0.6
Hence there are 0.6g in each pots
Answer:0.6
Step-by-step explanation:
can someone please help me
Answer:
x=1
Step-by-step explanation:
Plz, Help me with this question.
Answer:
first option
Step-by-step explanation:
Given
area = 15x - 9 ← factor out 3 from each term
= 3(5x - 3)
Thus the dimensions are 3 by (5x - 3)
when using the correct order of operations ,you always add before you subtract.
Answer:
False
Step-by-step explanation:
Additions and subtractions are done in the order they appear from left to right.
PLS someone help me im trying to get a 80% so i can finish this!
You roll a 6-sided die. What is P(less than 3)? Write your answer as a fraction or whole number.
Answer:
any number less than 3
Step-by-step explanation:
The angle between the incident ray and reflected ray is 90°. Calculate the angle of incidence and the angle of reflection.
Answer:
Step-by-step explanation:
The angle of incidence and reflection is 45°
The angle between them is 90°
they lie on the same plane, and angle of incidence = angle of reflection
the sum of all the angles is 180°
let angle of incidence and reflection be x
therefore,
90 + 2x = 180
x = 45°
Which pairs of angles are congruent because they are vertical angles? Check all that apply. 4 lines intersect to form 14 angles. Angles 14 and 12, 11 and 13, 10 and 8, and 7 and 9 are vertical angles. Angle 1 and Angle 4 Angle 14 and Angle 12 Angle 7 and Angle 8 Angle 10 and Angle 8 Angle 3 and Angle 5 Angle 8 and Angle 12
Answer:
◽Angle 14 and Angle 12
◽Angle 10 and Angle 8
Step-by-step explanation:
Vertical angles are opposite to each other on a pair of intersecting lines.
◽Angle 1 and Angle 4
These angles are not on the same two intersecting lines.
◽Angle 14 and Angle 12
These angles are on the same two intersecting lines. They are also opposite to each other.
◽Angle 7 and Angle 8
These angles are on the same intersecting lines, but they are not opposite to each other.
◽Angle 10 and Angle 8
They are on the same pair on lines, and opposite to each other.
◽Angle 3 and Angle 5
They are not on the same pair of intersecting lines.
◽Angle 8 and Angle 12
These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).
The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
By the vertical angle property, then we have
∠14 = ∠12
∠10 = ∠8
∠7 = ∠9
∠11 = ∠13
The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.
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The missing diagram is given below.
The cost of a dvd in dollars can be represented by the expression 18-d where d is the discount amount. Use the distributive property to write and simplify an expression for the cost of 3 dvds
Answer:
54 - 3d
Step-by-step explanation:
In order to find the cost of 3 DVDs we would simply need to multiply the expression given by 3. In order to do so we must use the distributive property and distribute the 3 to both the initial price of the dvd and the discount price, like so...
3(18 - d) ... in order to distribute we multiply 3 by 18 and then by d seperately
(3 * 18) - (3 * d)
54 - 3d
That would leave us the expression 54 - 3d
3×_5=16 and 3×=21
the first equation is a true statement for a certain value of x.
can you explain why the second equation must also be true for the same value of x?
Understanding:
First, let's try simplifying the first equation as much as we can. As you know, you can add, subtract, multiply, divide, etc on both sides of the equation and it will remain the same value. To simplify [tex]3x-5=16[/tex] we can simply add 5 to both sides to cancel the -5 on the left-hand side. That will give us [tex]3x-5 +5=16+5[/tex], notice we added the 5 to both sides. The +5 cancels -5 and 16+5 is 21, which evaluates to [tex]3x=21[/tex]. And this equation looks familiar, it's our second equation actually. That's why both equations are the same, and in that x value that makes the first equation true, it will also do the same for the second equation. If you want to actually find the value of x which makes the equation true, you can simply divide the 21 on the right-side by 3 to make x coefficient equal to 1, [tex]\frac{3x}{3} =\frac{21}{3}[/tex], and that gives us, [tex]x=7[/tex]. When x is 7 both equations are true.
Answer:
We conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.
Step-by-step explanation:
Given the first equation
[tex]3x-5=16[/tex]
Add 5 to both sides
[tex]3x-5+5=16+5[/tex]
simplify
[tex]3x=21[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}[/tex]
simplify
[tex]x=7[/tex]
Thus, x = 7 is a value that satisfies the first equation.
Now, put x = 7 in the 2nd question to check whether x = 7 satisfies the equation or not.
3x = 21
3(7) = 21 ∵ x = 7
21 = 21
Thus, x = 7 also satisfies the 2nd equation.
Therefore, we conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.