Answer:
adding 5x and 4x
Step-by-step explanation:
you always add similar variables before doing anything
Combine your like terms!(5x+4x) :DDDDD
18) Write an equation of the line that is perpendicular to the line y = 4x - 10 that passes through the point (-16, 2). A) y = - 1 4 x - 2 B) y = -4x + 6 C) y = - 1 4 x + 2 D) y = 4x + 2
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]
Find the surface area.
7 cm
7 cm
15 cm
7 cm
5.10^6 is how many times as large as 5.10^4
105 = 10 x 10 x 10 x 10 x 10 = 100,000 (5 zeros)
108 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 (8 zeros)
Notice that the number of zeros in the ordinary decimal expression is exactly equal to the power to which 10 is raised.
If the number is expressed in words, first write it down as an ordinary decimal number and then convert. Thus, "ten million" becomes 10,000,000. There are seven zeros, so in powers of ten notation ten million is written 107.
A number which is some power of 1/10 can also be expressed easily in scientific notation. By definition,
1/10 = 10-1 ("ten to the minus one power")
More generally, the expression "10-n" (where n is a whole number) means ( 1/10 )n. Thus
10-3 = ( 1 / 10 )3 = 1 / ( 10 x 10 x 10) = 1/1000
10-8 = ( 1 / 10 )8 = 1/100,000,000
Please answer this question
Answer:
B
Step-by-step explanation:
A- 2/15 + 1/3 = 7/15-0.46
B- 6/7-1/3=11/21-0.52
Answer: B is closer to 1/2
Step-by-step explanation:
I hope the explanation in the diagram helps
David swan, biked, and ran in the Camp Race. She biked twice as long as she ran, and swam 15 minutes more than she ran. Her total time for all parts of the race was 1 hour and 35 minutes. How many minutes did David spend on each part of the race?
Answer:
She biked 40 minutes.She ran 20 minutes.She swam 35 min.
Step-by-step explanation:
since you have 95 minutes for all parts first subtracted 15 from what she swam the you have four equal parts left the time she ram then twice she ran she biked and then the she swam 15 minutes More that she ran so you dived 95-15 which is 80 80/4 is 20 so she ran 20 min so 20 x 2 is 40 for she bike 40 then 20+15 is 35 so 40+20+35=95 an hour an 35 minutes
20 POINTS, PLS HELP!!! BOGO (buy one, get one free) is an example of _____.
(Select all that apply.)
a sale
an incentive
a discount
income
NEED HELP BRANLIEST TO FIRST ANSWER
Compare the quadratic function represented by the table to the function represented by the graph to determine which statement is true.
A) The tabled function has a lower minimum value.
B) The tabled function has a greater maximum value.
C) The graphed function has a lower minimum value.
D) The graphed function has a greater maximum value.
x f(x)
−4 −15
−2 −3
0 1
2 −3
4 −15
5 −24
Answer:
B
Step-by-step explanation:
Write whether the following pair of linear
equations is consistent or not: x+y=14 & X-y=4
Answer:
The linear equation is consistent
Step-by-step explanation:
X+y=14....(1)
X-y=4....(2)
Add (1) and (2)
2x=28
Divide both sides by 2
x=14
Substitute the value for x into (1)
14+y=14
Substrate 14 from both sides
y=0
So the linear equation is consistent
Calculate 25% of 200.
Answer:
50
Step-by-step explanation:
25% is the same as 1/4
1/4 of 200 is the same as
1/4·200
200/4 = 50
Hope that helped
what is the distance between (0,-1), (5,1)
Answer:
square root of 29 or approximately 5.38
a coin is tossed and an eight sided die numbered 1 through 8 is rolled. find the probability of tossing a head and then rolling a number greater than 4
Answer:
The answer is 4.
Step-by-step explanation:
There are 16 possible outcomes of this, and of those, only 4 of them result in the coin landing on heads and landing on a number that is greater than 4.
The water slide is 130 meters from the top to bottom. The vertical height of the slide is 50 meters. What is the angle of elevation of the slide?
Answer:
See the attachment.
Set your calculator to degree mode.
[tex] \sin( \alpha ) = \frac{50}{130} [/tex]
[tex] \alpha = { \sin }^{ - 1} \frac{5}{13} = about \: 22.62°[/tex]
choose the function whose graph is given by:
Answer:
A
Step-by-step explanation:
I put the equation into a GeoGebra graphing calculator, and y=sin(x-2) matches the graph.
The function represents the given graph is y = sin(x - 2).
What is the translating a graph?"Translating a graph means that moving it along the x or y axis by certain units."
Translating a function y = f(x):1) For a function of the type y = f(x) + k
If k > 0, the graph of y = f(x) will translate up(along positive Y-axis) by k units.
If k < 0, the graph of y = f(x) will translate down(along negative Y-axis) by k units.
2) For a function of the type y = f(x + m)
If m > 0, the graph of y = f(x) will translate left(along negative X-axis) by m units.
If m < 0, the graph of y = f(x) will translate right(along positive X-axis) by m units.
From given example,
The function represents the given graph is y = sin(x - 2).
This means, the function y = sin(x) is translated right by angle 2 (degrees / radians) as shown in the following figure.
Learn more about sine function here:
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Which shows the image of quadrilateral ABCD after the transformation R0 90?
Answer:
second picture
Step-by-step explanation:
The rule to rotate a point counterclockwise about the origin is:
Or in words, we switch the coordinates of the point and change the sign of the y-coordinate.
We know from the first picture that the coordinates of our quadrilateral ABCD are A = (-1, 0), B = (0, -1), C = (-2, -3), and D = (-3 , -2), so let's apply the rotation rule to each one of those points:
Now we know that the coordinates of the quadrilateral after a rotation of 90° are A' = (0, 1), B' = (1, 0), C' = (3, -2), and D' = (2, -3), which corresponds to the second picture
Answer:
b.
Step-by-step explanation:
Which of the following equations represents a line that is parallel to the line that passes through the points below?
(-3,6) (9,2)
Answer:
See below
Step-by-step explanation:
Two lines are parallel if they have the same slope but different y-intercepts. So the slope that can be formed given the points (-3,6) and (9,2) is (9-(-3))/(2-6)=12/-4=-3
With y=-3x+b, we need b, which can be found by plugging in either point:
2=-3(9)+b
2=-27+b
29=b
So the y-intercept therefore cannot be 29 but it can be any real number.
So the equation y=-3x+2 works, y=-3x+3, y=-3x+4, and so on....
help i got 10 min left
Answer:
20 mins
Step-by-step explanation:
Answer:
f.6
Step-by-step explanation:
An icicle has a volume of 3,769.91 mm3. If the icicle drips at a rate of 75 mm3 per minute, how long will it take the icicle to completely melt?
In 5 minutes, the icicle will lose 375 mm3 of volume.
How much volume is left after 10 minutes?
About how many minutes will it take for the icicle to completely melt? Round to the nearest tenth.
Answer: The first question (How much volume is left after 10 minutes) is C or 3,019.92 cubic millimeters. The second question (About how many minutes will it take for the icicle to completely melt? Round to the nearest tenth) is B or 50.3 minutes.
Step-by-step explanation:
It will take 50.2 minutes for the icicle to completely melt.
How to Find out how many minutes will it take for the icicle to completely melt? Round to the nearest tenth.
Given that An icicle has a volume of 3,7369.91 mm3.
If the icicle drips at a rate of 75 mm3 per minute
then the full volume of 3,769.91 mm3 drips at = 3,769.91mm^3/75mm^3
=> 50.2654 mins.
which is equal to 50.2 to the nearest 10th.
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What is the volume of the cylinder? Express the answer in terms of .
d = 8 cm
h = 18 cm
Recall the formula V = 2h
The volume of the cylinder is,
⇒ Volume = 904.32 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Height of cylinder = 18 cm
Diameter of cylinder = 8 cm
Hence, Radius of cylinder = 4 cm
Now, We know that;
The volume of the cylinder is,
⇒ Volume = πr²h
Substitute the given values, we get;
⇒ Volume = 3.14 × 4² × 18
⇒ Volume = 904.32 cm³
Thus, The volume of the cylinder is,
⇒ Volume = 904.32 cm³
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Vanessa is a caterer. she made several batches of appetizers last weekend for an event. this weekend, vanessa made 4 times as many batches. she made a total of 25 batches of appetizers for the two weekends. determine the number of batches vanessa made last weekend and the number of batches she made this weekend. let b= the number of batches of appetizers vanessa made last weekend.
Answer:
100 x 13/16 x 25b =4
18 3/4 = 25b/4
b=25/4
b= 6.25
Step-by-step explanation:
25/4 = 6 1/4 last weekend and 18 3/4 this weekend.
Elsa saving money to buy a game so far she had saved $36 which is 3/4 of the total cost of the game how much does the game cost
Answer:
$48
Step-by-step explanation:
To figure out how much the game costs in total, we first need to divide $36 by 3 (3 is the numerator).
36 / 3 = 12
The number 12 is how much each quarter is worth as shown below.
1/4 = 12
2/4 = 24
3/4 = 36
4/4 = ?
To find the answer, all we do is add 12 to 36.
12 + 36 = $48
Answer:
$48
Step-by-step explanation:
Let x represent the cost of the game
$36 = 3/4 x
Divide both sides by 3/4
$36/3/4 = x
$36 *4 / 3 = x
$48 = x
Therefore, the game costs $48
Emerie has $14.75 left on a coffee shop gift card. She purchased a coffee for $4.93 and a cupcake for $1.55. How much money did she spend?
Answer:
she gasted 6.48 money
Step-by-step explanation:
just add 4.93 and 1.55
In a French class, there are 10 freshmen, 8 sophomores, and 2 juniors. Of these students, 9 freshmen, 2 sophomores, and 1 junior are female. A student is selected at random. P(freshman or sophomore)
The probability of selecting a freshman or a sophomore from the French class is 0.9 or 90%. The probability of selecting a freshman or a sophomore from the French class can be found by dividing the total number of freshmen and sophomores (18) by the total number of students (20). The probability is calculated as 18 / 20, which simplifies to 0.9 or 90%.
To find the probability of selecting a freshman or a sophomore from the French class, we need to calculate the total number of freshmen and sophomores and divide it by the total number of students.
Step 1: Calculate the total number of freshmen and sophomores.
The total number of freshmen is 10, and the total number of sophomores is 8. Adding these two numbers together, we get 10 + 8 = 18.
Step 2: Calculate the total number of students.
The total number of freshmen, sophomores, and juniors is given as 10 + 8 + 2 = 20.
Step 3: Calculate the probability.
The probability of selecting a freshman or a sophomore can be calculated by dividing the total number of freshmen and sophomores (18) by the total number of students (20).
P(freshman or sophomore) = Number of freshmen and sophomores / Total number of students
P(freshman or sophomore) = 18 / 20
P(freshman or sophomore) = 0.9
Therefore, the probability of selecting a freshman or a sophomore from the French class is 0.9 or 90%.
The question probable may be:
What is the probability of selecting a freshman or a sophomore from the French class, and how is this probability calculated using the total number of freshmen and sophomores divided by the total number of students?
In a French class, there are 10 freshmen, 8 sophomores, and 2 juniors. Of these students, 9 freshmen, 2 sophomores, and 1 junior are female. A student is selected at random. P(freshman or sophomore)
One eighth of the number of raisin bagels sold on Friday were sold on Saturday. How many raisin bagels were sold on Saturday? There are 32 raisin bagels
Answer:
The answer is 4.
Step-by-step explanation:
The answer is 4, 1/8 of 32 is 4.
4 Raisin Bagels were sold on Saturday
Hope this helps!:)
URGENT ! Sci-Tech industries had to ship 4 x 10^6 vials of flu vaccine. If each vial weighed 6.3x10^2 grams, how much total weight was shipped
Answer:
i believe its 2.52 * 10^9
Step-by-step explanation:
Victor is keeping track of how many calories he eats. On Friday, he ate 3 cookies at snack time and 2,000 calories with his meals. On Saturday, he ate 5 cookies at snack time and 1,820 calories with his meals. If Victor ate the same amount of calories both days, how many calories are in each cookie?
What is the range for this set of data?
7, 15, 12
Answer:
8.
Step-by-step explanation:
To find the range, take your largest number and subtract it to
your smallest number. 15-7 is 8. Therefore, your range is 8.
Answer:
8 is the range
Step-by-step explanation:
Step 1: Find the range
To find the range, subtract the lowest number from the highest number.
Example: 5, 9, 15
What is the highest number → 15
What is the lowest number → 5
What is the range 15 - 5 = 10 is the range
Problem: 7, 15, 12
What is the highest number → 15
What is the lowest number → 7
What is the range 15 - 7 = 8 is the range
Answer: 8 is the range
In January, Toby's bookstore sold books. In February, he sold 20% more books. How many books did he sell in February?
Answer:
For me to answer the question you will have to put another number
Expand the following expression.
5.2(23 - 3.93x)
A
28.2 - 9.13x
B.
20.436 + 119.6x
C.
119.6x - 20.436
D.
119.6 - 20.43
Answer:
119.6 - 20.436x
Step-by-step explanation:
[tex]5.2(23 - 3.93x) \\ = 5.2 \times 23 - 5.2 \times 3.93x \\ = 119.6 - 20.436x \\ [/tex]
URGENT DUE TODAY!!! PLEASE HELP!!! i will give brainliest
Answer:
180 centimeters
Step-by-step explanation:
First, you have to make these into 2 different shapes. Two different prisms. You can see all the dimensions on the right shape, but not the left. How do you know the width? Well, since the width is the same for the WHOLE figure, the width for both shapes is the same. To find the volume of a rectangular prism, you need to multiply the length, width, and height.
Length * height * width
Shape 1: [tex]8 * 3 * 5 = 120[/tex] cm
Shape 2: [tex]2*6*5=60[/tex] cm
Then, you add the volumes of the 2 shapes to get the final volume.
120 + 60 = 180 cm
The length of a rectangular block is 20 inches. Its width is half its length.
Its height is half its width. What is the surface area of the block?
Answer:
width is 10 and the height is 5
Step-by-step explanation:
when divide 20 by 2 it gives you 10 and if you divide 10 by 2 it gives you 5 hope i helped