The equation of the line that is perpendicular to y = 4x - 10 and passes through the point (-16, 2) is y = -1/4x - 2, which is option A.
Explanation:The student is asking for the equation of a line that is perpendicular to the given line y = 4x - 10 and passes through the point (-16, 2). The slope of the given line is 4, and the slope of a line perpendicular to it will be the negative reciprocal, which is -1/4. Using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept, we substitute the slope -1/4 and the point (-16, 2) to find b.
Plugging in the point, we get:
2 = (-1/4)(-16) + b
2 = 4 + b
b = 2 - 4
b = -2
So, the equation of the line is y = (-1/4)x - 2. The correct answer is option A) y = -1/4x - 2.
To find the line perpendicular to ( y = 4x - 10 ) passing through (-16, 2), its equation is[tex]\( y = -\frac{1}{4}x - 2 \)[/tex], option A.
The correct option is a)[tex]\(y = -\frac{1}{4}x - 2\).[/tex]
To find the equation of the line that is perpendicular to the given line (y = 4x - 10), we first need to determine the slope of the given line, because perpendicular lines have slopes that are negative reciprocals of each other.
The given line (y = 4x - 10) is in the slope-intercept form (y = mx + b), where (m) is the slope. In this case, the slope of the given line is (m = 4).
The negative reciprocal of (4) is [tex]\(-\frac{1}{4}\)[/tex]. This will be the slope of the perpendicular line.
Now, we use the point-slope form of a line, which is [tex]\(y - y_1 = m(x - x_1)\),[/tex]where [tex]\((x_1, y_1)\)[/tex] is a point on the line and \(m\) is the slope.
Given the point ((-16, 2)), we substitute (x_1 = -16) and (y_1 = 2) into the point-slope form and the slope[tex]\(m = -\frac{1}{4}\):[/tex]
[tex]\[ y - 2 = -\frac{1}{4}(x - (-16)) \][/tex]
[tex]\[ y - 2 = -\frac{1}{4}(x + 16) \][/tex]
Now, we can simplify and rewrite this equation in slope-intercept form (y = mx + b):
[tex]\[ y - 2 = -\frac{1}{4}x - 4 \][/tex]
[tex]\[ y = -\frac{1}{4}x - 4 + 2 \][/tex]
[tex]\[ y = -\frac{1}{4}x - 2 \][/tex]
So, the equation of the line that is perpendicular to (y = 4x - 10) and passes through the point ((-16, 2)) is option A) [tex]\(y = -\frac{1}{4}x - 2\).[/tex]
Mr.Wells tells his class of 24 that when they have compleyed the assignment they may play online math games.At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment.
Answer:
14
Step-by-step explanation:
Because 40% of the class is playing games, that means (100-40)% aren't playing, meaning that those 60% haven't finished the assignment.
We find 60% of the total 24 students, and that is .6 * 24 = 14.4
Because you can't have .4 people, the answer rounds (down ) to 14
Answer:
14 Students.
Step-by-step explanation:
40% of 24 is 9.6 (Which should be approximated to 10). 24 Students in total - Approximately 10 who have completed the assignment is 14 students who still need to complete the assignment.
Can someone please help me
The values StartRoot 8 EndRoot and StartRoot 14 EndRoot are plotted on the number line.
A number line going from 0 to 4. StartRoot 8 EndRoot is between 2 and 3, StartRoot 14 EndRoot is between 3 and 4.
What is the approximate difference in tenths between the two values?
0.5
0.9
1.1
2.4
Answer:
The answer is 0.9
Step-by-step explanation:
I got it right
Step-by-step explanation: ANSWER is B 0.9
Find the median of the test scores: 95, 90, 70, 65, 35, 70, 60, 70, 95.
Answer:
Step-by-step explanation:
First, arrange the numbers from least to greatest: 35, 60, 65, 70, 70, 70, 90, 95, 95. Then find the middle number by taking away 1 number from each side.
The middle number is 70, so the median is 70.
Look at the attached picture⤴
Hope it will help u...
The intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of an a standard earthquake ?
Answer:
The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
Explanation:
The magnitude of earthquakes is given by
[tex]Magnitude=log\frac{I}{S}[/tex]
[tex]2=log\frac{I}{S}\\[/tex]
Where I is the intensity of earthquake and S is the intensity of standard earthquake.
The magnitude of standard earthquakes is given by
[tex]Magnitude=log\frac{S}{S}= log(1) = 0[/tex]
So comparing the magnitude of the given earthquake and standard earthquake,
[tex]log\frac{I}{S} = log\frac{S}{S}[/tex]
[tex]log\frac{I}{S} - log\frac{S}{S}[/tex]
[tex]log(2) - log(1)[/tex]
[tex]2 - 0[/tex]
[tex]2[/tex]
which means that
[tex]10^2 = 100[/tex] times greater
Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
Which circle C shows a chord that is not a diameter?
Answer:
if the chord is not passing through the center of the circle it is not a diameter
A chord is any line that divides the circle into two parts; the parts may be equal or unequal
How to draw the chord?From the question, we understand that the chord is not a diameter
This means that:
The chord does not pass through the center of the circleThe chord does not divide the circle into equal segmentsSee attachment for a diagram that illustrates the chord
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For a club gathering you were having, you bought a total of 50 burgers, and spent $90. You paid $2 per turkey burger, and $1.50 for each veggie burger. Next year, you want to spend the same amount of money on burgers, $90. If the number of turkey burgers is doubled, would you have to cut the number of veggie burgers in half? Explain your reasoning.
Answer:
No. You would have to cut the number of veggie burgers in more than half.
Explanation:
1. Model the situation with a system of equations
a) Name the variables:
number of turkey burgers: tnumber of veggie burgers: vb) Number of burgers:
50 = t + vc) Cost of the 50 burgers:
$90 = 2t + 1.50v2. Solve that system of equations:
a) System
50 = t + v90 = 2t + 1.50vb) Mutliply the first equation by 2 and subtract the second equation
100 = 2t + 2v 90 = 2t + 1.50v10 = 0.5vv = 20 ⇒ t = 50 - 20 = 30c) How much would you spend if the next year you buy the double of 20 turkey burgers (40) and the half of 30 veggie burgers (15)
$2(40) + $1.50(15) = $80 + $22.50 = $102.50Then, you if you double the number of turkey burgers, and cut the number burgers in half, you would spend more than $90 ($102.50).
What point is the rotated image of Q?
Please, I need help fast!
Answer:
A.
Step-by-step explanation:
Hope this helps!
There are 500 coffins and 500 men who need them. The undertaker asks the first man to go to every coffin and open them. Then he tells the second man to go to every one and close it. The third one goes to every third coffin and so on. How many are open?
Answer:
166
Step-by-step explanation:
Answer:
Step-by-step explanation:
I mean I'm not sure if I'm right but if the third one just went to every third coffin and so on then he technically didn't open any which makes them all closed. I'm not sure if I'm right tho.
10) Beth and Ming are selling pies for a school fundraiser. Customers can buy blueberry pies and
blackberry pies. Beth sold 3 blueberry pies and 12 blackberry pies for a total of $258. Ming sold
4 blueberry pies and 3 blackberry pies for a total of $110. What is the cost each of one blueberry
pie and one blackberry pie?
Answer: Each blueberry pie costs $14 and each blackberry pie costs $18.
Step-by-step explanation:
If X is the price of a blueberry pie and Y is the price of a blackberry pie we have that:
3*X + 12*Y = $258
4*X + 3*Y = $110
We have a system of equations, to solve it first we can isolate one of the variables in one of the equations, let's isolate X in the first equation.
3*X = $258 - 12*Y
X = $258/3 - (12*Y)/3 = 86 - 4*Y
now we can replace it in the second equation and get:
4*(86 - 4*Y) + 3*Y = 110
344 - 16Y + 3Y = 110
344 - 13Y = 110
13Y = 344 - 110 = 234
Y = 234/13 = 18
So each blackberry pie costs $18.
And we can replace it in the equation for X and get the value of X.
X = 86 - 4*Y = 86 - 4*18 = 14
So the price of a blueberry pie is $14.
Answer:
the cost each of one blueberry pie is $14
and one blackberry pie is $18
Step by step explanation:
Given that;
Beth sold 3 blueberry pies and 12 blackberry pies for a total of $258.
Ming sold 4 blueberry pies and 3 blackberry pies for a total of $110.
Let x represent the cost of blueberry pies and y the cost of blackberry pie.
3x + 12y = 258 ........1
4x + 3y = 110 ..........2
To solve the simultaneous equations;
Multiply equation 2 by 4, equation 2 becomes;
16x +12y = 440 .......3
Subtract equation 1 from 3;
16x-3x + 12y-12y = 440-258
13x = 182
x = 182/13 = 14
Substituting x=14 to equation 2
4(14) + 3y = 110
3y = 110 - 4(14)
3y = 54
y = 54/3
y = 18
the cost each of one blueberry pie is $14
and one blackberry pie is $18
ANSWER my question IF YOU WANT TO HAVE BRANIEST
In a certain triangle, two of the sides have measures of 13 and 20. If the triangle is isosceles, then which of the following could be the measure of the third side?
1) 7
2) 33
3) 40
4) 13
Answer:
4)13
Step-by-step explanation:
In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
Lena buys 12 cans of soft drinks and 11 sandwiches for a picnic. Patrick buys 10 cans of soft drinks and 7 sandwiches for the same picnic. Let c be the cost of a soft drink. Let s be the cost of a sandwich. Write an expression that represents the total cost.
Answer:
22c + 18s
Step-by-step explanation:
Lena buys:
12c + 11s
Patrick buys;
10c + 7s
Total cost is the sum of the both Lena and Patrick's purchase
12c + 11s + 10c + 7s
collect like terms
12c +10c + 11s + 7s
22c + 18s
he height of the triangle is 15 cm and the base is (45-x) cm. If the area of the triangle is 225 cm2, what is the value of x?
Answer:
x =15
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
We know the area=225 and the base= (45-x) and the height =15
Substituting these into the equation
225 = 1/2 (45-x)*15
225 = 15/2 (45-x)
Multiply each side by 2/15
2/15 *225 = 2/15*15/2 (45-x)
30 = 45-x
Subtract 45 from each side
30-45 =45-x-45
-15 = -x
Multiply each side by -1
15=x
The average daily balance is the mean of the balance in an account at the end of each day in a month. The following table gives the dates and amounts of the transactions in Elliott's account in June.
Day of June Transaction type Transaction amount (in dollars)
111 Starting balance 122312231223
101010 Deposit 615615615
151515 Withdrawal -63−63minus, 63
222222 Withdrawal -120−120minus, 120
There are 303030 days in June.
What is the average daily balance of Elliott's account for the month of June?
Answer:
1583.90
Step-by-step explanation:
This is correct
Answer:
Step-by-step explanation:
Let's start by figuring out what the new balance is each time the balance changes, and the number of days with that balance. Then we can take the mean of those balances.
Hint #22 / 4
Day of June Transaction amount (in dollars) New balance Days with that balance
111 122312231223 122312231223 10-1=910−1=910, minus, 1, equals, 9
101010 615615615 1223+615=18381223+615=18381223, plus, 615, equals, 1838 15-10=515−10=515, minus, 10, equals, 5
151515 -63−63minus, 63 1838+(-63)=17751838+(−63)=17751838, plus, left parenthesis, minus, 63, right parenthesis, equals, 1775 22-15=722−15=722, minus, 15, equals, 7
222222 -120−120minus, 120 1775+(-120)=16551775+(−120)=16551775, plus, left parenthesis, minus, 120, right parenthesis, equals, 1655 31-22=931−22=931, minus, 22, equals, 9
[Why subtract from 31?]
Hint #33 / 4
To find the mean, we first sum all of the daily balances. Then we divide by 303030, since there are 303030 days in June.
\begin{aligned}&\phantom{=}\dfrac{1223 \times 9 + 1838 \times 5 + 1775 \times 7 + 1655 \times 9}{30} \\\\ &=\dfrac{11{,}007 + 9190 + 12{,}425 + 14{,}895}{30} \\\\ &=\dfrac{47{,}517}{30} \\\\ &=1583.90 \end{aligned}
=
30
1223×9+1838×5+1775×7+1655×9
=
30
11,007+9190+12,425+14,895
=
30
47,517
=1583.90
Hint #44 / 4
The average daily balance of Elliott's account for the month of June is 1583.901583.901583, point, 90 dollars.
At 4:00p.m the temperature was 90F after this point the temperature dropped 1.5F per hour until sunrise the next morning write an equation to represent the temperature,t,after h hours
Answer:
90t-21t=69t
Step-by-step explanation:
4:00pm to 6:00 am is 14 hours. 14 x 1.5 is in fact 21 which means the temperature dropped 21 degrees in those 14 hours.
The equation to represent the temperature after a certain number of hours is t = 90 - 1.5h.
Explanation:The equation to represent the temperature, t, after h hours can be written as: t = 90 - 1.5h.
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Evan was randomly creating a one topping pizza at a "Bake Your Own Pie" restaurant. Each
one topping pizza has one crust type, one cheese type, and one topping
Thin
Mozzarella
Pepperoni
Thick
White Cheddar
Sausage
Parmesan
Pepper
Onion
Mushroom
If the choice of each choice was equally likely, what is the probability that Evan made a
Thick Crust Pizza with White Cheddar and Sausage?
A: 1/8
B: 1/10
C:1/15
D. 1/30
Answer:
D, 1/30
Step-by-step explanation:
There are 2 crust types, 3 cheeses, and 5 toppings.
That means there are 2*3*5 total pizzas, which is 30.
You are asking for the probability of choosing one of those pizzas, meaning the answer is D, 1/30
Which Expression is equivalent to the expression (3^2)^3?
27^6
27^5
3^6
3^5
ANSWER ASAP! NEED FOR RIGHT NOW
A certain insecticide kills 60% 60 % of all insects in laboratory experiments. A sample of 7 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 4 insects will survive? Round your answer to four decimal places.
Answer: The probability that exactly 4 insects will survive = 0.2903.
Step-by-step explanation:
Given : The proportion of all insects in laboratory experiments killed by insecticide = 60%=0.60
Since , by using insecticide only two outcomes are possible either it kills or not kills , so we can use binomial.
Sample size of insects = 7
By using binomial probability formula : [tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex], where x is binomial variable , n = sample size and p is the probability of getting success.
Let x be the number of insects survived.
As per given , we have
n=7 , p=0.60
Now , the probability that exactly 4 insects will survive :
[tex]P(x=4)= ^7C_4(0.60)^4(1-0.60)^3\\\\=\dfrac{7!}{4!3!}(0.60)^4(0.40)^3\\\\= 35\times 0.1296\times 0.064 \\\\=0.290304\approx0.2903[/tex]
Hence, the probability that exactly 4 insects will survive = 0.2903
find the value of x in the triangle, 60°, 60°, 5x
The value of x in the expression for the angle of the triangle is 12.
What is the value of x in the triangle?The figure in the image is a triangle.
From the image:
Angle 1 = 5x
Angle 2 = 60 degrees
Angle 3 = 60 degrees
Note that, the sum of the interior angle of a triangle equals 180 degrees.
To determine the value of x, add the 3 angles and equate to 180 degrees.
Hence:
5x + 60 + 60 = 180
Collect and add like terms:
5x + 120 = 180
Subtract 120 from both sides:
5x + 120 - 120 = 180 - 120
5x = 180 - 120
5x = 60
x = 60/5
x = 12
Therefore, x has a value of 12.
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23 is between which two prefect squares? Between which two integers is √23
Answer:
4² and 5²
Step-by-step explanation:
4² = 16
5² = 25
sin 68 = 7/b
tan 68 = 7/a
What is the length of the hypotenuse of the triangle?

 ft
 ft
 ft
 ft
Answer:
65
Step-by-step explanation:
hope this helps
Helpppppppppppp meeeeeeee please
Answer:
Point M
Step-by-step explanation:
4/5=8/10
Point M was on 8/10.
The graph of F(X)= (6-4X)^2/2X^2-5X+12 HAS A HORIZONTAL ASYMPTOTE AT Y=
Answer:
Y = 8
Step-by-step explanation:
(6-4X)²/[2X²-5X+12]
[36 - 48X + 16X²]/[2X² - 5X + 12]
Y = 16/2
Y = 8
Answer: 8
Step-by-step explanation:
I need help figuring out which two grids have the same % please
Answer:
a and c
Step-by-step explanation:
The first one is 3/6 = 50%
The second one is 3/8 = 37.5%
The third one is 2/4 = 50%
The fourth one is 5/8 = 62.5%
The ones with the same percent shaded are the first and third
Answer:
a and c
Step-by-step explanation:
A has 3 out of a total of 6 shaded, and that would be 3/6. 3/6 simplifies into 1/2 which is also 50%. Same with c. 2 out of four pieces are shaded, 2/4. 2/4 becomes 1/2 which is also 50%.
BRAINLIEST!!! ASAP! It’s easy
Answer:
83.3%
Step-by-step explanation:
Convert fraction (ratio) 10 / 12
Answer: 83.333333333333%
Saige's spaceship traveled 588 km in 60 sec. Determine whether or not each spaceship trip below has the same speed as Saige's spaceship.
Answer:
only 441 km in 45 s has the same speed as Saige's
Step-by-step explanation:
588 / 60 = 9.8 km/sec
441 / 45 = 9.8 km/sec
Answer:
441km in 45s—same speed
215km in 25s—not the same speed
649km in 110s—not the same speed
Step-by-step explanation:
The heights of 1000 students at a local school were recorded and found to be approximated by the normal curve below. Which answer could represent the mean and standard deviation for these data ?
Answer:
The mean of the distribution of heights of students at a local school is 63 inches and the standard deviation is 4 inches.
Step-by-step explanation:
The normal curve approximating the distribution of the heights of 1000 students at a local school is shown below.
For a normal curve, the mean, median and mode are the same and represents the center of the distribution.
The center of the normal curve below is at the height 63 inches.
Thus, the mean of the distribution of heights of students at a local school is 63 inches.
The standard deviation represents the spread or dispersion of the data.
From the normal curve it can be seen that values are equally distributed, i.e. the difference between two values is of 4 inches.
So, the standard deviation is 4 inches.
write the quadratic question whose roots are 1 and 6, and whose leading coefficient is 4
Answer:
[tex] 4 {x}^{2} - 28x + 24[/tex]
Step-by-step explanation:
Roots of the quadratic equation are 1 and 6
Therefore, (x - 1) & (x - 6) are factors.
Leading coefficient is: 4
Required quadratic equation is given as:
[tex]4(x - 1)(x - 6) \\ = 4( {x}^{2} - 6x - x + 6) \\ = 4( {x}^{2} - 7x + 6) \\ = 4 {x}^{2} - 28x + 24[/tex]
b over 7 plus 1 equals 6
Answer:
b=35
Step-by-step explanation:
Let's start by interpreting the question first
b/7 +1=6
Lcm is 7
b+7/7=6
Cross multiply
b+7=7×6
b+7=42
Substrate 7 from both sides
b=42-7
b=35
Therefore the final answer is 35