The line L: 4x - 5y + 20 = 0 cuts the x - axis at A and cuts the y - axis at B. find the equation of a line perpendicular to L and passing through the origin.
9514 1404 393
Answer:
x-intercept: (-5, 0)y-intercept: (0, 4)perpendicular: 5x +4y = 0Step-by-step explanation:
Each of the intercepts is found by setting the other variable to zero and solving for the intercept value.
x-intercept
4x -5·0 +20 = 0
x +20/4 = 0 . . . . . divide by the coefficient of x
x = -5 . . . . . . . . . . add -5
The x-intercept point is (-5, 0).
__
y-intercept
4·0 -5y +20 = 0
y +20/-5 = 0 . . . . . divide by the coefficient of y
y = 4 . . . . . . . . . . . add 4
The y-intercept point is (0, 4).
__
The perpendicular line is found by swapping the x- and y-coefficients, negating one of them. You want the leading coefficient positive, so the equation becomes ...
5x +4y = (some constant)
The constant is chosen according to the point you want on the line. For a line through the origin, the constant is zero.
5x +4y = 0 . . . . perpendicular line
A Leopoldo su Maestra l le pidió que calcular el perímetro de un rectángulo que tiene las medidas que se indican en el dibujo cuánto mide su perímetro
Answer:
Lo siento, no puedo ayudarte, porque esta resonancia es porque no tienes una imagen ni nada para que yo te ayude, lo siento, espero que tengas un buen día.
Step-by-step explanation:
Of the 800 participants in a marathon 120 are running to raise money for a cause how many participants out of 100 are running for a cause
Answer:
15%
Step-by-step explanation:
Step-by-step explanation:
120 out of 800 are running for a cause. = 15 are running for a cause. 15 out of a 100 = 15%
Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?
Answer:
The value of a is 52.
Step-by-step explanation:
Ten less than 5 times the value of a number
5a - 10
is equal to 10 times the quantity of 12 more than one-fourth of the number.
This means that:
[tex]5a - 10 = 10(12 + \frac{a}{4})[/tex]
If a is the number, what is the value of a?
Solving the equation:
[tex]5a - 10 = 120 + 2.5a[/tex]
[tex]2.5a = 130[/tex]
[tex]a = \frac{130}{2.5}[/tex]
[tex]a = 52[/tex]
The value of a is 52.
Solve for x. Enter your answer in the box below as a fraction in lowest terms, using the slash (/) as the fraction bar.
6/9+x=7/10
blank minus 1/2 equls to 3/4
Answer:
5/4
Step-by-step explanation:
We can start but setting the blank as x.
x - 1/2 = 3/4
we can put a common denominator on both of the.
2, 4
4, 8
4 is a common denominator.
1/2 times 2/2 = 2/4
x - 2/4 = 3/4
add on both sides.
x = 5/4
Answer:
5/4
Step-by-step explanation:
____ - 1/2= 3/4
____= 3/4+1/2
= 3+2/4 ( LCM of 2,4 is 4)
5/4
Check
5/4-1/2=3/4
is a polygon with 4 sides and 4 angles
a. Triangle
b. Quadrilateral
c. Polygon
Answer:
Quadrilateral is a polygon with 4 sides and 4 angles
Answer:
Quadrilateral
=> hope it helps
-3/2 and 0 rational numbers find only 3 rational numbers
Step-by-step explanation:
The given nos. are , 0 and -3/2 . We can write -3/2 as -1.5. Therefore three rational numbers between them will be ,
-1 -1.2-1.3squares and rectangles both have four angles that measure 45° each true or false
Answer:
False
Step-by-step explanation:
They both have four angles that measure 90°.
Hope I helped.
No it isnt true. A rectangle or a square has right angles that have a degree of 90 so its actually 90 degrees.
Please help!
1.) Find mED
2.) Find mEA
3.) Find mBDC
which fraction would complete the pattern? 1/4, 2/8, ___, 4/12
Use the function below:
trig graph with points at 0, 1 and pi over 2, 5 and pi, 1 and 3 pi over 2, negative 3 and 2 pi, 1
What are the amplitude and midline?
Amplitude: 5; midline: y = 1
Amplitude: 5; midline: y = 0
Amplitude: 4; midline: y = 1
Amplitude: 4; midline: y = 0
Answer:wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Step-by-step explanation:
amplitude 4 midline Y=1
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
Answer:
amplitude 4 midline Y=1
Step-by-step explanation:
I am taking the algebra two segment two exam
What value is an x worth
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
PLEASE ANWSER ASAPPPPLL I NEED IT QUICK PLS SHAWTY
Answer:
c
Step-by-step explanation:
3 and 3/7 ok hope it helps
Answer:
the answer is 20 3/7
Step-by-step explanation:
c=6 1/2 pi
a committee of six is chosen from 12 men and 8 women. determine the number of ways of selecting the committee if
Answer: there is different types of selecting committe but most of the tuime is men before women
Step-by-step explanation:
3 rational number between -3/2 and 0
give me correct answer not I report your 10 answers
Answer:
-2/2, -1/2 & -1/1.
:)
peace out
A statue on a shelf is recreated on a computer screen. The actual statue is 14 in tall and 4 in wide. The statue on the computer screen is 1.5 in wide. How tall is the statue on the computer screen?
Answer:
5.25 in tall
Step-by-step explanation:
4/1.5 = 8/3
14/(8/3)=5.25
Find f(-9) when f(x) = |x|- 6.
Answer: f(x) = 3
Step-by-step explanation:
f(x) = |-9| - 6
f(x) = 9 - 6
f(x) = 3
Answer:
3
Step-by-step explanation:
F(x)= f(-9) meaning x is -9.
When -9 is in absolute value is negative it turns into positive because anytime it it absolute it will turn any number postitive. so the equation turns into 9-6=f(x) which is 3.
4. Assume that the chances of a basketball player hitting a 3-pointer shot is 0.4 and the probability of hitting a free-throw is 0.65. Assume that in a given game the player shoots 10 free throws and 10 3-point shots. Treat each shot is an independent trial and calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.
Answer:
0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.
Step-by-step explanation:
For each 3-pointer shot, there are only two possible outcomes. Either the player makes it, or the player does not. The same is valid for free throws. This means that both the number of 3-pointers and free throws made are given by binomial distributions.
Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of making 3 3-pointers out of 10:
The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that [tex]p = 0.4[/tex]. So this is [tex]P(X = 3)[/tex] when [tex]n = 10[/tex].
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.21499[/tex]
Probability of making 5 free throws out of 10:
The probability of hitting a free-throw is 0.65, which means that [tex]p = 0.65[/tex]. The probability is [tex]P(X = 5)[/tex] when [tex]n = 10[/tex].
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,5}.(0.65)^{5}.(0.35)^{5} = 0.15357[/tex]
Calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.
0.21499*0.15537 = 0.0334
0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.
state three different between the fundamantal and derived quantities
Step-by-step explanation:
Derived=Depends on other quantities, obtained from product or division of fundamental quantities, exist a large number of derives units in the metric system
Fundamental=Independent, can't be expressed in terms of derived units, only seven fundamental units exist in the n metric system.
I need the answer for each blank
Answer:
Step-by-step explanation:
AC=BD
8x-4=6x+10
2x=14
x=7
AC=8x-4=52
BD=6x+10=52
Landon has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 5.5 points for each visit to the movie theater. He needs 125 points for a free movie ticket. How many visits must Landon make to earn a free movie ticket?
Answer:
10 times
Step-by-step explanation:
125-70 bonus points =55 points left.
55 divided by 5.5 per visit = 10 times to get a free movie ticket.
To verify it is correct:
10 visits x 5.5 points each = 55 points total
55 + 70 bonus points = 125 for a free ticket.
Answer:
10
Step-by-step explanation:
Let x= number of visits
5.5x+70=
125
subtract -70 from 70 and 125
5.5x= 55
divide both sides by 5.5
x=10
:)
A drum and bugle corps rents instruments to members. Each bugle
rents for $10 per month and each drum rents for $5 per month.
2. a. Find the monthly income Iif members rent 7 bugles and 9 drums.
Then find the monthly income if members rent 9 bugles and 7 drums.
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A computer and printer cost $1128. The cost of the computer is three times the cost of the printer. Find the cost of each item. (Also have a great day :D)
Answer:
Computer 752
Printer 376
Step-by-step explanation:
1128./3=376
1128.-376=752
The area of Mammoth Cave NationalPark in Kentucky is about fifty-two thousand, eight hundred thirty and nineteen hundredths acres. Which shows this number of acres as a base ten numeral?
Answer:it’s the first one
Step-by-step explanation:
1. David paints 3 rooms in 7 hours. At the same pace how long will it
take him to paint 16 rooms?
Proportions please answer with proportions thanks
Answer:
336
Step-by-step explanation:
The dimension of a rectangular prism are 5cm, 5 cm, and 2 cm determine the surface area
A. 50 cm
B. 25 cm
C. 60 cm
D 120 cm
E. 90 cm
Answer:
A 50
Step-by-step explanation:
Multiply 5 x 5 to get 25. Then multiply 25 x 2 to get 50 as the surface area!
Hope this helps! Pls mark brainliest!
What is the area of a rectangle measuring 4 inches by 3 1/4 inches
Answer:
13
Step-by-step explanation:
4 times 3 1/4 is 13
Answer:
13
Step-by-step explanation:
If 0.09/x = 1, then x =
Answer:
[tex] \frac{0.9}{x} = 1 \\ x = 0.9[/tex]
Solve: 4x-19-x
what is the value if X? pls explain if u can