Write an equation of the line passing through the point (6, 3) that is perpendicular to the line 6x + 5y = 10
An equation of the line is
y=?
Answer:
[tex]y=\frac{5}{6}x-2[/tex]
Step-by-step explanation:
Let the equation of a line passing through a point [tex](x_1,y_1)[/tex] and slope [tex]m_1[/tex] is,
[tex]y-y_1=m_1(x-x_1)[/tex]
Equation of the second line has been given as,
6x + 5y = 10
Slope-intercept form of the equation will be,
5y = -6x + 10
y = [tex]-\frac{6}{5}x+10[/tex]
Here slope of the line [tex]m_2=-\frac{6}{5}[/tex]
If both the lines are perpendicular,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]m_1\times (-\frac{6}{5})=-1[/tex]
[tex]m_1=\frac{5}{6}[/tex]
Therefore, equation of the line passing through (6, 3) and slope = [tex]\frac{5}{6}[/tex] will be,
y - 3 = [tex]\frac{5}{6}(x-6)[/tex]
y = [tex]\frac{5}{6}x-5+3[/tex]
[tex]y=\frac{5}{6}x-2[/tex]
sandra colored 1/3 of her picture black, as shown. what percent of her picture did she color white
Leo took an Uber to get to football practice. Uber charged $1.25 per mile (m) and he gave the driver a $5.00 tip. If the total trip was $16.25, how many miles did he travel to football practice?
Answer:
9milesStep-by-step explanation:
Step one:
given data
we are told that the uber charges $1.25 per mile
and that Leo also gave a tip of $5
the function for the total charge is given as
y=mx+c
Step two:
we will use the notation m for the number of miles traveled
given that the total trip is $16.25
16.25=1.25m+5
solving for m we have
16.25-5=1.25m
11.25=1.25m
divide both sides by 1.25
m=11.25/1.25
m=9
So he travelled 9miles
The Advanced Drama Club is selling tickets for Annie. Pre-registered tickets cost $6 and tickets at the door cost $8.50. The total number of tickets sold was 355. The total amount received was $2,580. Write a system to determine how many of each type of ticket was sold. Use p for pre-registerd and d for tickets purchased at the door. Solution: (pre-registered tickets, door tickets)
6/8.50=2 we get 35 ticket did help
8% of $40 is $
plzzz help
Answer:
$3.2
Step-by-step explanation:
so there's a strategy to do this its very helpful!
100%-$40
8%-x
~cross multiply~
100x=320
÷100 ÷100
________________
x=$3.2
Hope this helps :D
Justin wants to make a necklace with 72 beads. He knows that 12 beads
take up 4 inches of string, but the store only sells string by the centimeter.
How many centimeters should he buy? Explain. (Hint: 1inch = 2.54 cm) *
Answer:
60.96cm
Step-by-step explanation:
So if 12 beads=4 inches
72 beads=72 beads*4 inch
12 beads
That will give you 24inches. inch-cm multiply by 2.54cm
=60.96cm of rope
PLZ ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: C
Step-by-step explanation: it is stretched out more.
Answer:
C
Step-by-step explanation:
C Is An Oval Not A Circle, Therefore it is different
What is the slope between (3,5) and (3,14)
Answer:
the slope between (3,5) and (3,14) is a positive slope
Step-by-step explanation:
Answer: The slope would be a positive slope.
Which function could this graph represent?
A) an even-degree function with two relative extrema
B) an odd-degree with three relative extrema
C) an even-degree function with three relative extrema
D) an odd-degree with two relative extrema
Answer:
Option (A)
Step-by-step explanation:
From the graph attached,
Right and left ends of the graph are moving downwards.
Ends moving upwards or downwards (In the same side of x-axis) tells the graph to be an even function.
There are two maximum points (points having maximum y-values)represent the two relative extrema of the function.
Therefore, Option (A) will be the correct option.
Tommy is thinking about entering a contest at the local gas station. Some of Tommy's friends explained to him that the probability of winning the free tank of gas was 0.27. Tommy understands probabilities better when they are given in ratio form. (For example 1 out of every 6 will win. Give Tommy your estimate of 0.27 probability in ratio form
Answer:
[tex]\dfrac{27}{100}[/tex]
Step-by-step explanation:
The number [tex]0.27[/tex] can be attained by the following expression
[tex]0.27=\dfrac{k27}{k100}[/tex]
Where
[tex]k[/tex] = any positive positive integer.
Let us take the minimum ratio
[tex]0.27=\dfrac{1\times 27}{1\times 100}[/tex]
[tex]=\dfrac{27}{100}[/tex]
where [tex]k = 1[/tex]
So, the probability estimate in ratio form is [tex]\dfrac{27}{100}[/tex].
Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail?
Why is it impossible to represent a vertical line using the slope-intercept form and the point-slope form of a linear equation?
Answer:
Both equations include the slope, which is undefined for a vertical line.
Step-by-step explanation:
it just is lol
Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.
answer picture answer picture
Answer:
1. it is given
2. DE
3. DFE and DEF
4. DFB and DEC
Write the equation in slope-intercept form.
7x = 3y − 12
A. y=73x+4
B. 3y−7x=12
C. y−11=73(x−3)
D. y=37x+4
Step-by-step explanation:
this is my answer you should mind your own business
There are 16 sweets in a bowl.
4 of the sweets are blackcurrant.
5 of the sweets are lemon.
7 of the sweets are orange.
Anna, Ravi and Sam each take at random one sweet from the bowl.
Work out the probability that the 5 lemon sweets are still in the bowl.
Answer:
5
Step-by-step explanation:
Under the answer choice D, it says The rectangles are similar
The correct answer is option D.
Which equation represents the graph shown below
A) y=2x+3
B) y=3x+2
C) y=2/3x+b
D) y=5x
Answer:
A Y=2X +3
Step-by-step explanation:
Y=mx +b
y=2x + 3
slope is 2
y intercept is 3
Searches related to jay read 6 during the summer break he plans to read 5 books each month during the school year. Write the inequality he could use to find x the number of months after summer he will have read more than 50 books
Answer:
10
Step-by-step explanation:
Which hourly interval had the least rate of change?
Answer:
hour 3 to hour 4
Step-by-step explanation:
that is where the slope is the least steep
Please answer as soon as possible! Thanks
Transformation Questions)
Answer:
A = 1,1 ; 2,3 ; 5,3 ; 4,1 B = 1,-1 ; 2,-3 ; 5,-3 ; 4,-1what is the slope of the line, (-6, -8) and (2, 8)?
Answer:
Your slope would be 2.
Step-by-step explanation:
To find the slope, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would be 8-(-8)/2-(-6)
8 - (-8) = 16
2 - (-6) = 8
16/8 = 2
Slope: 2
Question 1
Which of the following statements is NOT true?
Answer:
the bottom one
Step-by-step explanation:
They are both the same ab and bc but im not entirely sure
Because AB, AC, and BC describe the same line, we conclude that the last option is the false one.
Which of the statements is not true?On the graph, we can see a line that contains points A, B, and C.
Now we want to see which statement is false.
Now, because A, B, and C are on the same line, is trivial that:
AB, AC, and BC (these 3 lines) have the same slope, because these are 3 different names for the exact same line.
Then we can conclude that the incorrect statement is the last one.
If you want to learn more about lines:
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are 35:40 and 21:24 equivalent?
Answer:
yes
Step-by-step explanation:
35:40=0.875
21:24=0.875
Answer:
No
Step-by-step explanation:
35 divided by 40 is 0.875 and 21 divided by 24 are 0.875. These are the same answer ( 0.875 = 0.875) so they are equivelent. Hope this helped! If it did, please mark me as brainliest! Thanks!
Write the sentence as an inequality.
A number x is greater than 3
The inequality is
Answer:
X > 3
Step-by-step explanation:
The sentence as an inequality will be x > 3.
It is given that a number x is greater than 3.
We have to represent the sentence as an inequality.
What do you mean by inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
As per the question ;
A number x is greater than 3.
So ,
Number is x.
and
It is greater than 3
i.e.,
we need to use a sign of greater than to represent the inequality i.e., > sign.
So ,
The sentence as an inequality can be written as ;
x > 3.
Thus , the sentence as an inequality will be x > 3.
To learn more about inequalities click here ;
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hot air balloon is attached to the ground by a cable that is 200 meters long. The cable makes a 57° angle with the ground.
How many meters above the ground is the balloon if there is no slack in the cable? Round your answer to the nearest tenth of a meter
Answer:
Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.
Let the height of the balloon from the ground be AB=hmetres.
In a right angled triangle ACB
BC
AB
=sin60
∘
⇒
200
h
=
2
3
since
sin60
∘
=
2
3
⇒h=200×
2
3
⇒h=100
3
∴h=100×1.732=173.2 since
3
=1.732
Hence, the height of the balloon above the ground is 173.2m
By inscribing the given information in a right triangle, we will see that the ballon is 167.7 meters above the ground.
Think in the situation as in a right triangle, you have a hypotenuse that is equal to the length of the cable, you know one angle of 57°, and the opposite cathetus to this angle represents the height at which the ballon is, this is what we want to find.
Using the relation:
sin(θ) = (opposite cathetus)/hypotenuse.
Where:
θ = 47°hypotenuse = 200mopposite cathetus = height.Replacing that we get:
sin(57°) = height/200m
sin(57°)*200m = height = 167.7m
So the balloon is 167.7 meters above the ground.
If you want to learn more, you can read:
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Karen plans to put new carpet on the floor of a rectangular room. The dimensions of the room are 24 feet by 15 feet. Carpet is sold by square yards. What is the area, in square yards, of Karen’s room?
Answer:
the answer would be 120 square yards
Step-by-step explanation:
you multiply the 15 and 24 then after that you divide the out come by 3 because a square yard is 3 by 3
i don't understand the problem or how to solve it please brake I down
Step-by-step explanation:
jm sorry, I've never done anything like this in math.
I don't understand proportional relationship can u help?
Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D
Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
[tex]4x -3 = 11x[/tex]
Answer:
[tex]x=-\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]4x-3=11x\\\\4x-3+3=11x+3\\\\4x=11x+3\\\\4x-11x=11x-11x+3\\\\-7x=3\\\\\frac{-7x=3}{-7}\\\\\boxed{x=-\frac{3}{7}}[/tex]
Hope this helps.