Answer:
First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)
That is the first error of Alan.
Now, there is another error.
If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).
But we can not really divide by zero, so we should state that:
m can not be zero, if a line is horizontal, the perpendicular line must be vertical.
I have a bag containing red, green, blue, and white marbles and the ratio $\text{red}:\text{green}:\text{blue}:\text{white}$ is $2:2:5:7$. I have 304 marbles. How many blue marbles do I have?
Answer:
95
Step-by-step explanation:
Let 2x be how many red/green marbles there are,
let 5x be how many blue marbles there are, and
let 7x be how many white marbles there are.
2x + 2x + 5x + 7x = 304
16x = 304
x = 19
As 5x is defined as how many blue marbles there are, we could just plug x for 19:
5*19 = 95
I hope this helped, and if it did please consider giving me brainliest :)
Answer:
95
Step-by-step explanation:
Let r, g, b, w be the number of red, green, blue, and white marbles, respectively. Since r : g : b : w = 2 : 2 : 5 : 7, there is some value of x for which r = 2 x, g = 2x, b = 5x, and w = 7x. Then, we have
304 = r + g + b + w
= (2x) + (2x) + (5x) + (7x)
= 16x
Dividing both sides of 16x = 304 by 16 gives x=19. This gives us r = 38, g = 38, b = 95, w = 133, so I have 95 blue marbles.
1. 8x-16=4(2x-6)+8
2.5x+3(2x+4)=2(5x+6)
3. 6x-3+2x+8=4(2x+7).
Please help I’m in the middle of a test and I don’t know it by heart.
Answer:1.all real numbers
2.x=0
3.no solution
Step-by-step explanation:
1) Select the characteristics that are true of all parallelograms. Group of answer choices Opposite sides are never equal. Opposite angles are congruent (equal). A parallelogram can have more than 4 sides. Parallelograms have 4 sides. Opposites sides are parallel and equal in length.
Answer:
- Opposite angles are congruent (equal).
- Parallelograms have 4 sides
- Opposites sides are parallel and equal in length.
Step-by-step explanation:
A parallelogram is a quadrilateral and since quadrilaterals are fur sided figures, hence parallelograms are also four sided figures.
A parallelogram has its opposite side equal and parallel to each other with a slanting edge at two of its sides. Since its opposite sides are equal hence its opposite angles are also equal.
Parallelogram cannot have more than four sides because they are quadrilateral. Find the diagram of a parallelogram in the attached figure.
It can be seen from the attached figure that AB//CD and AD//BC
What is the measure of the angles below?* 8x-3 6.x + 17
Answer:
x = 10
Step-by-step explanation:
Simplifying
8x + -3 = 6x + 17
Reorder the terms:
-3 + 8x = 6x + 17
Reorder the terms:
-3 + 8x = 17 + 6x
Solving
-3 + 8x = 17 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-3 + 8x + -6x = 17 + 6x + -6x
Combine like terms: 8x + -6x = 2x
-3 + 2x = 17 + 6x + -6x
Combine like terms: 6x + -6x = 0
-3 + 2x = 17 + 0
-3 + 2x = 17
Add '3' to each side of the equation.
-3 + 3 + 2x = 17 + 3
Combine like terms: -3 + 3 = 0
0 + 2x = 17 + 3
2x = 17 + 3
Combine like terms: 17 + 3 = 20
2x = 20
Divide each side by '2'.
x = 10
Simplifying
x = 10
Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the property was P, which expression represents the property’s current value?
Answer:
The expression is 2.75P.
Step-by-step explanation:
If P represents the initial value and the value increases by 275%, then you can say that it is worth 2.75 times as much as the initial value.
if f(x)=x^2-5x+4, if is possible to find f(x+4) by replacing each occurrence of
Answer
It is possible to find f(x+7) by replacing each occurrence of
X by X+7
It is possible to find f(x+7) by replacing each occurrence of x in the function f(x) = x² - 5x + 4 and the function f(x + 4) becomes f(x + 4) = x² +3x.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
f(x) = x² - 5x + 4
It is required to find the f(x + 4)
Replace x with x + 4
f(x + 4) = (x + 4)² - 5(x + 4) + 4
f(x + 4) = x² + 8x + 16 - 5x - 20 + 4
f(x + 4) = x² +3x
The function f(x + 4) is f(x + 4) = x² +3x after plugging x = x + 4 in the f(x)
Thus, it is possible to find f(x+7) by replacing each occurrence of x in the function f(x) = x² - 5x + 4 and the function f(x + 4) becomes f(x + 4) = x² +3x.
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Write the following equation in standard form.
y=5x+9
Answer:
5x-y=-9
Step-by-step explanation:
Coach Dasher wants his son to go to Georgia Tech. The estimated cost to attend for four years is $112,384. What would be the unit rate or cost per year?
Answer:
ans= $28096
divide $112384 by 4 to get the answer
SENDDD HELPPP PLZZZ ASAP
Answer:
the answer is C
Step-by-step explanation:
hope this helps
Question 5 (Essay Worth 5 points)
Determine the answer to 3+ (-5) and explain the steps using a number line.
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BIUS XXIX
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Answer:
its 6 i thinknidk
Step-by-step explanation:
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Is the side lengths 7,24,25 a right triangle
Answer:
Yes
Step-by-step explanation:
Because these sides fit right in pythagoras theorem
24²+7²=25²
Please help ( if you want )
Answer: option 2
Step-by-step explanation:
Answer:
The 2nd graph shown: k [tex]\geq[/tex] 2
Step-by-step explanation:
7k - 24 [tex]\geq[/tex] -8k + 8 - 2 Distributed the -8 to the k and the -1.
7k - 24 [tex]\geq[/tex] -8k + 6 Combine like terms.
15k [tex]\geq[/tex] 30 Added 24 to each side; Added 8k to each side
k [tex]\geq[/tex] 2 The Final Result.
Determine the solution.
2x+y=4
4x-3y=7
Answer:
The answer is: (x , y) = (19/10 , 1/5)
Step-by-step explanation:
Solve the equation for y-
y = 4 - 2x
4x - 3y = 7
Substitute the given value of y into the equation-
4 x - 3 ( 4 - 2x ) = 7
Solve the equation for x-
x = 19/10
Substitute the given value of x into the equation y = 4 - 2x-
y= 4 - 2 * 19/10
Solve the equation for y-
y = 1/5
The possible solution of the system is the ordered pair ( x , y )-
( x , y ) = ( 19/10 , 1/5)
Check if the given ordered pair is the solution of the system of equations-
{2 * 19/10 + 1/5 =4
4 * 19/10 - 3*1/5 =7}
Simplify the equalities-
4 = 4
7 = 7
Since all equalities are proven true the ordered pair is the solution of the system-
( x , y) = (19/10, 1/5)
FINALLY haha the solution is: ( x , y ) = (19/10 , 1/5)
Hope this helps you!! :) <333
I wILL GIVE BRAINLIEST PLEASE HELP 80 POINTS
Answer: 4.3
Step-by-step explanation:
Answer:
quotient is 4 remander 3 continues
Step-by-step explanation:
Solve for b: 2b - 9 = d
Answer: b=9
Step-by-step explanation:
What are the two answers for this problem? |c - 24| = 7c
Step-by-step explanation:
c=7c+24
c-7c=24
-6c=24
c=24÷-6
c=-4
Line p is parallel to line q. Parallel lines p and q are crossed by lines a and b to form 2 triangles. At parallel line p, angle 4 is formed by line b and angle 5 is formed by line a. Angle 6 is the third angle. At parallel line q, angle 3 is formed by line 3 and angle 2 is formed by line b. Angle 1 is the third angle. Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 5 is congruent to angle 4, angle 3 is congruent to angle 2 Angle 2 is congruent to angle 4, angle 3 is congruent to angle 6, angle 1 is congruent to angle 5 Angle 3 is congruent to angle 6, angle 1 is congruent to angle 2, angle 5 is congruent to angle 4 Angle 6 is congruent to angle 1, angle 5 is congruent to angle 3, angle 4 is congruent to angle 2
The set of statements about the angles are: angle 1 is congruent to angle 4 is congruent to angle 5 is congruent to angle 8 and angles 2 is congruent to angle 3 is congruent to angle 6 is congruent to angle 7
How to determine the true statementsA pair of parallel lines cut through by a transversal would form set of congruent angles
The parallel lines are given as:
Lines p and line q
From the complete question (see attachment for image), we have the following congruent angles:
Angles 1, 4, 5 and 8Angles 2, 3, 6 and 7Hence, the set of statements about the angles are: angle 1 is congruent to angle 4 is congruent to angle 5 is congruent to angle 8 and angles 2 is congruent to angle 3 is congruent to angle 6 is congruent to angle 7
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Answer:
It´s D. I hope I answered the correst question
Step-by-step explanation:
0.05 Divided by 0.02
Answer:
The answer is 2.5
o.o5 divided by o.o2 is 2.5
Rationalise the denominator and simplify 6/√3
⇛2√3.
Step-by-step explanation:
Given,
6/√3
The denominator is √3.
We know that
The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.
⇛(6/√3)×(√3/√3)
⇛(6√3)/(√3)²
⇛(6√3)/(√3*3)
⇛(6√3)/3
⇛2√3
Hence, the denominator is rationalised.
plss help mee
Yellow Taxi has no pickup fee but charges $0.25 per mile. AAA Taxi charges $3 for pickup and $0.15 per mile. Find the number of miles for which the cost of the two taxis is the same.
Answer:
30 miles
Step-by-step explanation:
Water flows through a pipe at a rate of 5 quarts every 2 days. Express this rate of flow in cups per year.
The rate of flow in cups per year is 3645 cups per year.
How to determine the rate of flow in cups per yearTo convert the rate of flow from quarts per day to cups per year, we first need to convert quarts to cups and days to years.
1 quart is equal to 4 cups,
So 5 quarts is equal to 5 x 4 = 20 cups.
1 year is equal to 365 days, so
2 days is equal to 2/365 = 1/182.5 years.
So the rate of flow in cups per year is 20 cups / (1/182.5 years) = 3645 cups per year.
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A dime is what fraction of a dollar?
Answer:
1/10
Step-by-step explanation:
A dime is 1/10 fraction of a dollar.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.
We have to convert a dime into a fraction of a dollar.
Number of dimes in a dollar = 10
10 dimes = 1 dollar
1 dime = 1/10 dollar
So we can say that one dime is 1/10 of a dollar.
Hence 1/10 fraction of a dollar is 1 dime.
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A postal carrier delivers mail to 20 mailboxes on one side of a long street. Beginning with the first mailbox, the carrrier takes 5 seconds to sort and put the mail in each mailbox, and the mailboxes are 100 feet apart. How fast (in feet per second) must the carrier walk in order to complete delivery to all 20 mailboxes in 10 minutes? Answer in decimal form as a.b (for example, 9.7).
Answer:
3.8 seconds
Step-by-step explanation:
Time taken to sort the mail is [tex]5[/tex] seconds
Let time taken to go from one mailbox to the next be [tex]x[/tex]
Distance between the mailboxes is [tex]100[/tex] ft
So, sorting the mail for one mailbox and going to the next will be done in [tex](5+x)[/tex] seconds
This will happen 19 times and 5 seconds will be needed to sort the mail for the last mail box. The carrier will have to deliver to all the 20 mailboxes in 10 minutes. So, the total time taken will be
[tex]19(5+x)+5=10\times 60\\\Rightarrow 19(5+x)=595\\\Rightarrow 5+x=\dfrac{595}{19}\\\Rightarrow x=\dfrac{595}{19}-5\\\Rightarrow x=\dfrac{500}{19}\ \text{s}[/tex]
Time taken to go from one mailbox to the other is [tex]\dfrac{500}{19}\ \text{s}[/tex]
Speed is given by
[tex]v=\dfrac{100}{\dfrac{500}{19}}\\\Rightarrow v=3.8\ \text{ft/s}[/tex]
The speed at which the carrier has to move from one mailbox to the next is 3.8 seconds.
At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth of a foot, find the direct distance between Jalen and the entrance.
Answer:
113.18
Step-by-step explanation:
[tex]\sqrt{113^{2}+32x^{2}[/tex]
SF=113.18
The direct distance between Jalen and the entrance is 144.6 feet.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Place everything on an xy grid with the Entrance at (0,0).
Then the Ferris Wheel is at (95,156) and the Swings are at (-23,124).
Cody is halfway between them,
so he is at
(95-((95-(-23)/2)),156-(156-124/2) or (36,140).
The distance from Cody to the entrance, using Pythagoras, is square root of
(362+1402)
=144.6 feet
Therefore , the direct distance between Jalen and the entrance is 144.6 feet.
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Select the equivalent expression.
Answer:
The Answer is B
Step-by-step explanation:
In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]
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Answer:
SPONGEBOB SQUAREPANTS
Step-by-step explanation:
What is the positive solution to (x+7)(x−4)=0?
The positive solution would be 4
Rewrite each expression using properties
2(x + 4) - 3(x -5)
2(x + 4) - 3(x -5) = 2x + 8 - 3x + 15 = 23 - x
A line passes through the points (-6, 4) and
(-2, 2). Which is the equation of the line?
○ y= -1/2x + 1
○ y= 1/2x + 7
○ y= -2x - 8
○ y= 2x + 16
The ____ states that the sum of the measures of the interior angles of a triangle is 180°.
Koo