The equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12) is y = 4x/5 + 8.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The line 5x-4y=10.
Simplifying,
y = (-5/4)x + 5/2
Comparing with the slope-intercept form,
y = mx + b,
where m is the slope and b is y-intercept.
The slope is = -5/4
The slope of the perpendicular line,
= negative reciprocal of the slope of the line where the line is perpendicular.
= 4/5
So, the line:
If a line passes through one point (x₁ ,y₁) and have slope m,
then the equation of line is
y - y₁ = m (x - x₁)
y - 12 = (4/5)(x-5)
y = 4x/5 + 8
Therefore, the equation of the line is y = 4x/5 + 8
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THIS HAS BEEN KILLING ME!!!!!
The function y=-1/3x is reflected across the x-axis. What's the equation of the new function?
- explain step by step, please.
Check the picture below.
let's bear in mind that the -(1/3)x has a negative slope, namely going down, so a reflection over the x-axis will yield the same points pretty much, but instead of the IV Quadrant, on the I Quadrant, above, whilst the slope remains the same, it simply turns positive.
Find each number. Round to the nearest tenth if necessary./
18 is 25% of what number? (show work)
Answer:
72
Step-by-step explanation:
25%:18
50%:36
75%:54
100%:72
Berry has a circle graph that is 32 percent black, 45 percent red, and 11 percent yellow. If the rest of the graph is green, then what percent of the circle graph is green?
Answer:
12% green
Step-by-step explanation:
3 A sphere is increasing in volume at the rate of 20 in3/s. At what rate is the radius of the sphere increasing when the radius is 4 in.? A.0.982 inls B.0.424 inls C.0.995 inls D.0.025 inls
The rate of increase of the radius is 0.025 in/sec.
What is a sphere?A three-dimensional object with a sphere-like shape. A sphere has no vertices or edges, unlike other three-dimensional shapes. The distances between each point on its surface and its center are equal.
In other words, the distance between any two points on the surface and the sphere's center is equal. The formula for the Volume of the sphere is given by
Volume of sphere = (4/3)πr³
Where, r = radius of the sphere
Here we have
A sphere is increasing in volume at the rate of 20 in³/s.
Here we need to find at what rate the radius of the sphere increases when the radius is 4 in.
Let v = Volume of the sphere at time t
=> Change in Volume = dv/dt = 20
r = Radius of the sphere at time t
As we know, the Volume of the sphere, v = (4/3)πr³
Differentiate the Volume of the sphere with respect to t
=> dv/dt = (4/3)3πr³⁻¹)(dr/dt)
=> dv/dt = 4πr² (dr/dt)
=> 20 = 4πr² (dr/dt)
=> 5 = πr² (dr/dt)
Given that radius, r = 4
=> 5 = π4² (dr/dt)
=> 5 = (22/7) 64 (dr/dt)
=> 5 = 3.14(64) (dr/dt)
=> dr/dt = (5/3.14 × 64)
=> dr/dt = 0.024880573
=> dr/dt = 0.025
Therefore,
The rate of increase of the radius is 0.025 in/sec.
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Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Pleaseeee
Answer:
6x^2 + 3x + 21 = 3(2x^2 + x + 7)
Step-by-step explanation:
We have this as follows;
6x^2 + 3x + 21 = 3(2x^2 + x + 7)
The quadratic trinomial inside the bracket cannot be factored any further
so we have the present form as the correct answer
I need help please. ASAP
I need help Plssssssss
No, I don't aree with him because the formula for the median is formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number. To find the median, first order the numbers from smallest to largest. Then find the middle number.
so it's 1,4,7,8 and 13 so the median is 7
so we do not agree with him
THANKS!FROM CAMBRIDGE UNIVESITY:)
???????????????????????????????????/////////
Answer:
1. Rational
2. Rational
3. Irrational
4. Rational
5. Irrational
Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents
Given:
In a circle, two chords CE and DU intersect each other inside the circle at B.
Measure of arc CD = 185 degrees.
Measure of arc EU = 55 degrees.
To find:
The measure of angle CBD.
Solution:
Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using Intersecting chords theorem, we get
[tex]m\angle CBD =\dfrac{1}{2}(arcCD+arcEU)[/tex]
[tex]m\angle CBD =\dfrac{1}{2}(185^\circ +55^\circ )[/tex]
[tex]m\angle CBD =\dfrac{1}{2}(240^\circ )[/tex]
[tex]m\angle CBD =120^\circ[/tex]
Therefore, the measure of angle CBD is 120 degrees.
A small index of retention (IOR) shows that the data on the box plot is
Answer:vgugyu
Step-by-step explanation:
.You have an "equality sign" that connects 1kg of NaCl to 27 ml of a solvent, how many ml are associated with 9100 grams?
Two tiny parallel horizontal lines serve as the "equality sign" connecting 1 kilogramme of NaCl to 27 ml of a solvent.
What does ≡ mean in math?is a synonym for exactly. This is comparable to equals but not quite the same. To avoid confusion, always use the symbol =, which stands for about equal to or virtually equal to. This symbol indicates two sides of a connection that are not precise enough to be mathematically manipulated.≅ (mathematics) equivalent to around. quotes (geometry) similar to. The computer science term "it is defined as" is denoted by the meta symbol::=, which is not a mathematical expression , everywhere.x ≔ y or x ≡ y indicates that x is understood to be another name for y (however it should be noted that can also denote other things, such as congruence). P :⇔ Q denotes the logical equivalence of P to Q. Congruent or, more generally, an arbitrary equivalence relation is denoted in some circumstances by the triple bar or equal sign with three lines.To learn more about equality sign refer to :
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Janice lost a total of 75 pounds over the course of 12 months. How many pounds on average did Janice lose each moth? Answer with a mixed number.
Answer:
The awnser is 6.25 pounds
Step-by-step explanation: 75/12 = 6.25 which means every month she lost a total of 6.25 pounds and on a 12 month average she lost 75 pounds
b) A bag contains 6 marbles: 3 red, 2 black, and 1 blue.
One marble is picked at random
Answer:
We need more information
Step-by-step explanation:
What is 6 divided by 9.51
Answer:
The result of 6 divided by 9.51 is approximately 0.63.
Answer:
0.63091482649
Step-by-step explanation:
2. Ask one of your teachers how tall they are in feet/in. Write it here:
Now, covert their height into centimeters (cm).
feet
in.
1 ft = 12 in
1 in = 2.54 cm
My teacher:
- 5'3
- 5.25 ft
- 63 in
- 160 cm
What is the volume in cubic inches of the pyramid shown in the diagram?
u can download the gauthmath app i promise it's very helpful :)
I need some help again:(. My question says "complete the statement with the correct exponent" it shows 5 (blank) = 125 I know that whenever I have a two it's 5 squared but I don't know how to actually find the exponent without it showing 5 x 5 x 5 ( and so on,not what it actually showed just an example )
The value of the exponent based on the information is 3. Therefore, 5³ = 35.
How to illustrate the exponent?It should be noted that the exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information given, it should be noted that this can be written as:
5^x = 125
5^x = 5³
Since the base is equal
x = 5.
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Which expression is equivalent to (4^3 · 6^3)^7?
a) 10^21
b) 10^42
c) 24^21
d) 24^42
Answer:
C
Step-by-step explanation:
the answer is C but the alternative form is 9.64797×10^28
nevermind i think it's B now arg sorry
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
3^3 = 27, so C
Please give brainliest :)
what is the surface area of a 27 centicube cube with 3 cm sides
Alyssa just accepted a job at a new company where she will make an annual salary of $53000. Alyssa was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Alyssa make as a salary after 3 years working for the company? What would be her salary after
t
t years?
Answer:
68,000
Step-by-step explanation:
53,000+5,000x3
5,000x3=15,000
53,000+15,000=68,000
find the vertex
V(x) = 325x2 – 4600x + 145000
The vertex of V(x) = 13x² - 184x + 5800 are at 7.08 + i19.9 Or 7.08 - i19.9.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know the graph of a quadratic equation is a parabola and the vertex of the parabola are the roots o the quadratic equation.
Given, V(x) = 325x² - 4600x + 145000.
V(x) = 13x² - 184x + 5800. (we have factored out 25)
Now, By applying Sridhar acharya's formula,
x = [- b ± √(b² - 4ac)]/2a.
x = [184 ± √(33856 - 301600)]/26.
x = [184 ± i√267744]/26.
x = [184 ± i517.44]/26.
x = 7.08 + i19.9 Or 7.08 - i19.9.
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At the city museum, child admission is $5.60 and adult admission is $9.30. On Monday, 166 tickets were sold for a total sales of $1277.40. How many adult tickets were sold that day?
number of adult tickets []
Answer:
number of child ticket sold=x =86
number of adult ticket sold = y =74
A whale is swimming due north at a speed of 40 kilometers per hour. Just 6 kilometers away,
a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 83
kilometers per hour. How long will it be before they meet?
Answer:
O hrs and 30 minutes is the answer
Step-by-step explanation:
want proof?
Answer:
about 0.04878 hours ≈ 2 minutes 56 seconds
Step-by-step explanation:
You want the time until a whale-watching boat and a whale meet if the boat is traveling south at 83 km/h and the whale is traveling north at 40 km/h when they start 6 km apart.
Closing speedThe speed at which the gap between the boat and the whale is closed is the sum of their respective speeds:
closing speed = 83 km/h + 40 km/h = 123 km/h
TimeThe time it takes to close the 6 km gap is ...
time = distance/speed
time = (6 km)/(123 km/h) ≈ 0.04878 h
Converted to minutes and seconds, that is about ...
0.04878 h ≈ 2 minutes 55.6 seconds
It will be about 2 minutes 56 seconds before the boat and whale meet.
__
Additional comment
NOAA recommends a distance of at least 100 yards be maintained between a boat and a whale. In some areas, the recommended distance is 400 yards when approaching head-on. The recommended boat speed is 15 knots or less, about 28 km/h.
Explain why the initial value of any function of the form
f(x) = a(b*) is equal to a.
The formula becomes a times 1, which is merely a, when you swap out 0 for the exponent x. This is so because 1 equals any number raised to the power of 0. The value of a will always be the initial value for any function with this form since the initial value is the function's value with an input of 0.
How do you determine F's starting value?By looking for an equation's constant, one can also locate initial values. Graph functions benefit from understanding the y-intercept.
Any number that is multiplied by 0 equals 1.
A number is equal to a number multiplied by 1.
The value of a multiplied by one will equal its starting value.
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Tara placed the numbers -2 1/6, 3/11 and 2 2/9 on the number line below. Which letters
represent the correct location for each number?
-2 1/6 is A, 3/11 is C, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is F
or
-2 1/6 is B, 3/11 is D, and 2 2/9 is F
Answer:
sorry beacuse I don't know anything
Help on this I don’t really understand it
Answer:
[tex]4x^5 +8x^3 = 4x^3(x^2 + 2)[/tex]
option 1
I WILL GIVE YOU BRAINLY IF YOU CAN'T ANSWER IT PLS DO NOT ANSWER
Each time a student scores an 80% or higher on a quiz, a teacher puts a raffle ticket
in a jar. At the end of the quarter the teacher draws three tickets. Does EVERY
student in the class have a fair chance of having their name drawn when the teacher
draws the names for the raffle? Why or why not?
Answer:
no because some students might not get 80% or higher on their test
sorry if this isnt helpful
Is this a right triangle?
Answer:
Yes.
Step-by-step explanation:
A right triangle, by definition, must have at a 90° angle, typically denoted by a square. In the given picture, there is a square within the triangle where an angle is, denoting that it is a right angle. ∴ by definition given above, this is a right triangle.
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The ruthless queen has asked the royal pharmacist to create a concoction which will straighten her curly hair. If the pharmacist combines a mixture containing 10% milkweed with another mixture containing 50% milkweed to create a 5 ounce mixture containing 30% milkweed, how many ounces of the 10% mixture will the pharmacist use?
The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.
The formula for calculating percentages?To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.
Since when do we utilize percentages?Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.
According to the given information:We are aware that m = CV, where
V = volume and c = concentration
Let
M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.
It is known that m + m' = M.
where cv + c'v' = CV
Since cv + c'v' = CV, the formula is:
c = 3.7% concentration = 0.037;
v = volume of 3.7% = 1 ounce;
c = 7.9% concentration = 0.079;
v' = volume of 7.9%;
C = 6.5% concentration = 0.065;
and V = volume of 6.5% = v + v'
We obtain by altering the values of the variables in the equation
3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')
3.7% + 7.9 %v' = 6.5%(1 + v')
3.7% + 7.9 %v' = 6.5% + 6.5%v'
7.9%v' - 6.5%v' = 6.5% - 3.7%
1.4%v' = 2.8%
v' = 2.8%/1.4%
2 ounces are v'.
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