Why are two lines with the same y intercept are perpendicular?
Two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The standard form of the lines are:
y = mx + c
Here m is the slope and c is the y-intercept of the line
mM = -1
The M is the slope of the second line which is perpendicular to the first one.
y = Mx + c (with the same y-intercept)
Thus, two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.
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What is the value of the function at x=−3?
Answer:
correct answer is 4
Step-by-step explanation:
The prime factorization of a number n can be written as n=pr whose p and r are distinct primes. how many factors does n have not including 1.
The total number of factors for a number 'n' with prime factorization [tex]n = p^r * q^s * ... * z^w[/tex] (where 'p', 'q', ..., 'z' are distinct primes and 'r', 's', ..., 'w' are their respective powers) is equal to (r + 1) * (s + 1) * ... * (w + 1).
When we have the prime factorization of a number, determining its total number of factors is a straightforward process. The number of factors of 'n' can be found by considering the powers of its prime factors.
Let's take an example to illustrate this. Consider the number 'n' with prime factorization:
[tex]n = p^r * q^s * ... * z^w,[/tex]
where 'p', 'q', ..., 'z' are distinct prime numbers, and 'r', 's', ..., 'w' are their respective powers.
To find the total number of factors for 'n', we need to consider all possible combinations of its prime factors. For any factor of 'n', we can choose to include 'p' raised to a power ranging from 0 to 'r', 'q' raised to a power ranging from 0 to 's', and so on, for all the distinct primes.
The total number of factors can be calculated using the formula:
(r + 1) * (s + 1) * ... * (w + 1)
This formula works because for each prime factor 'p', we have 'r + 1' options for its power, and similarly for other prime factors. By multiplying all these options, we get the total number of factors.
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What’s the measure of LMF
LMF = 17x
so 17x + 3x =180
20x = 180
x = 180/20 = 9
17 *9 = 153
angle LMF = 153 degrees
Find the 5th term of the expansion of (x + y)9.
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I need help with this. 20 points!
If f(x) = 5x - 4, then what is the value of f(7)?
Which number sentence best represents this story problem? Carol picks 42 apples. She puts an equal number of apples in each of 6 bags. How many apples are in each bag? A. 42 × 6 = ? B. 42 ÷ 6 = ? C. 42 + 6 = ? D. 42 – 6 = ?
violet chewed 5 times as many pieces of bubble gum in one week as her friend if her friend chewed 12 pieces of bubble gum.how many did violet chew
Violet chewed 60 pieces of bubble gum in one week.
Explanation:To find out how many pieces of bubble gum Violet chewed, we need to multiply the number of pieces that her friend chewed by 5. Her friend chewed 12 pieces of bubble gum, so we can multiply 12 by 5.
12 x 5 = 60
Therefore, Violet chewed 60 pieces of bubble gum in one week.
What is the least possible integer value for which 40% of that integer is greater than 9.6?
name the property of equality or congruence that justifies going from the first statement to the second statement.
ST=QR
QR=ST
a) reflexive property of congruence
b) symmetric property of congruence
c) transitive property of congruence
d) substitution property of congruence
What is the area of The shaded sector of the circle
Answer: 27[tex]\pi[/tex] [tex]unit^{2}[/tex]
Step-by-step explanation: area of circle =[tex]\pi r^{2}[/tex]
where r is the radius of circle
here r=9
to find the area of circle we cover an angle of 360° but here we have to cover only 120°=360°÷3
so area of shaded region =area of circle÷3
=[tex]\pi[/tex]×9×9÷3
=27[tex]\pi[/tex] [tex]unit^{2}[/tex]
In an isometric transformation, the preimage and image must not __________. A. change size B. rotate C. preserve angle measures D. reflect across the x axis Please select the best answer from the choices provided A B C D
100 POINTS!!!!!!
RULES:
HAVE TO ANSWER CORRECTLY
HAVE TO ANSWER ALL 16 QUESTIONS
PLEASE ONLY ANSWER IF YOU ONLY KNOW THE ANSWER PARTIAL ANSWERS OR INCOMPLETE ANSWERS NOT ACCEPTED WILL BE REPORTED
POINT STEALERS BEWARE
1) How many moles are there in 24.5 grams of CoF3?
2) How many molecules are there in 150.00 grams of Na2SO4?
3) How many moles are there in 2.3 x 1024 atoms of sulfur?
4) How many grams are there in 7.40 x 1023 molecules of PH3?
5) How many moles are there in 7.5 x 1023 molecules of H2SO4?
6) How many molecules are there in 55.5 grams of Cu(ClO¬3)2?
7) How many grams are there in 8.20 x 1025 molecules of water?
8) How many molecules are there in 238.05 grams of CO2?
9) How many molecules are there in 2.35 grams of NH4F?
10) How many grams are there in 1.50 x 1023 molecules of N2H6?
11) How many molecules are there in 20.40 grams of SiCl4?
12) How many grams are there in 3.50 moles of AlCl3?
13) How many moles are there in 4.50 x 1022 molecules of CH4?
14) How many molecules are there in 9.34 grams of NO?
15) How many grams does 4.00 moles of UF6 weigh?
16) How many moles are there in 230.0 grams of NH4OH?
The student's questions involve calculations of moles, mass, and molecule amounts in various chemical compounds based on stoichiometric principles. The answers are given as a sorted list. Values should be verified with available molar masses.
Explanation:This student's questions relate to moles, mass, and molecule amounts in different chemical compounds, following the principles of
stoichiometry
. Here are the answers, calculated using the appropriate molar mass for each substance:
24.5 grams of CoF3 is approximately 0.294 moles.150.00 grams of Na2SO4 equates to about 1.12 x 1024 molecules.2.3 x 1024 atoms of sulfur is around 38.18 moles.7.40 x 1023 molecules of PH3 is about 61.12 grams.7.5 x 1023 molecules of H2SO4 is around 49.89 moles.As chemistry problems can be complex, please double-check these answers using your own molar masses.
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The square root of 31 is between what two integers
A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship? Yes, y = 2x. Yes, y = 20x. No, y = x + 10. No, y = x + 20.
Answer:
Yes, y = 2x
Step-by-step explanation:
I took it on edge and got it right!!!
There will be definitely a direct relation and the relation will be y = 2x.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Proportion is very useful to set relations between variables.
Given that the prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, and the number of text messages sent and received
so it is clear that cell phone charge upon the number of minutes to use text messaging hence y = 2x will be the correct answer.
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What is the solution of the equation when solved over the complex numbers?
x^2+24=0
x =
or x =
-19.78 is rational or irrational
The vector has components +5 and +7 along the x- and y-axes respectively. along a set of axes rotated 90 degrees counterclockwise relative to the original axes, the vector's components are
A recipe for a batch of cookies calls for 2 1/3 cups of flour for 24 cookies. Manuel wants to make 72 cookies. How many cups of flour does he need
Lori sold 3 times as many raffle tickets as tony. lori sold 24 tickets. how many more raffle tickets did lori sell than tony?
Answer:
Your Answer is C) 16
Step-by-step explanation:
Step 1: Find the number Tony sold.
24 ÷ 3 = 8
Step 2: Find how many more tickets were sold by Lori than Tony.
24 - 8 = 16
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Which property justifies this statement?If x=−2, then 5x=−10.
A.Multiplication Property of Equality
B.Transitive Property of Equality
C.Symmetric Property of Equality
D.Subtraction Property of Equality
Answer:
Correct option is:
A.Multiplication Property of Equality
Step-by-step explanation:
The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).
Here, we are given a equality:
x= -2
Now, on multiplying both sides by 5, the equality will be preserved
i.e. 5x= -2×5
i.e. 5x= -10
Hence, Correct option is:
A.Multiplication Property of Equality
The property of equality that justifies the given statement is the Multiplication Property of Equality
The correct option is A.Multiplication Property of Equality
From the question, we have that
If x=−2, then 5x=−10
The property of equality that justifies this statement is the Multiplication Property of Equality.
This is because, when both sides of the first equation is multiplied by 5, the result gives the other equation.
That is,
[tex]5 \times x = -2 \times 5[/tex], yields
5x=−10.
Hence, the property of equality that justifies this statement is the Multiplication Property of Equality
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A card is drawn from a standard deck of 52 cards. find p(drawing an ace and 9)
What is the answer to John bought a video game on sale for $35. The original price of the game was 3 times that amount. John also bought video game controllers on sale for $28. The original price of the game controllers are 5 times that amount. Together how much money did the video game and controllers cost before they went on sale?
Given that f(x) = 2x −5, find the value of x that makes f(x) = 15. (5 points)
5
10
20
25
Solving systems of three equations w/ elimination
a right rectangular pyramid is shown. the height of the pyramid is 12 units the length are the width are 6 units and 8 units
Answer:
The answers are 10, 13, and 12.37
Step-by-step explanation:
If a microscope has a series of three lenses that magnify individually 5x, 5x, and 7x, what is the total magnification of the microscope
The total magnification of the microscope is 175x.
Given that,
If a microscope has a series of three lenses that magnify individually 5x, 5x, and 7x.Based on the above information, the calculation is as follows:
[tex]= 5 \times 5 \times 7[/tex]
= 175x
Therefore we can conclude The total magnification of the microscope is 175x.
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Tarting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along the same path downhill at a speed of 12mph. What is her average speed for the entire trip from home to the hardware store and back?
What is a equation of the graph of the equation below translated down 3 units y=-x^2