Step-by-step explanation:
The product of slope of 2 straight lines perpandicular each other is -1.
Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So
[tex]6m = - 1[/tex]
[tex]m = - \frac{1}{6} [/tex]
Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.
[tex]y = mx + c[/tex]
[tex] - 3 = 6( - \frac{1}{6} ) + c[/tex]
[tex]c = - 2[/tex]
Therefore, the equation of the perpandicular line is
[tex]y = - \frac{1}{6} x - 2[/tex]
Select the correct answer. Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3? A.It is the graph of f(x) translated 3 units down. B.It is the graph of f(x) translated 3 units to the left. C.It is the graph of f(x) where the slope is decreased by 3. D. It is the graph of f(x) translated 3 units up.
Answer: Choice A) translated 3 units down
Explanation:
x is the input while y = f(x) is the output. If we say f(x) - 3, then it's the same as saying y - 3. This means g(x) = f(x) - 3 subtracts 3 from each y coordinate of the points on f(x). This visually moves the entire f(x) curve down 3 units
What will be the resultant sogn if we mutilply 15 negative integers and 6 positive integers
Answer:
Negative.
Step-by-step explanation:
Negative because there are an odd number of negatives.
For Example:
3 negatives:
- * - * -
= + * -
= -
-3x - 4 = 11 is which property of equality?
Answer:
x= _5 is the correct answer
Se hizo un estudio entre los estudiantes de Licenciatura en ingeniería de software y sistemas computacionales, a 40 de estos estudiantes se les pidió que estimen el número de horas que habrían dedicado a estudiar la semana pasada (tanto en clase como fuera de ella), obteniéndose los siguientes resultados:
please help me solve that question
Step-by-step explanation:
[tex]\sin(\theta + \phi) = 2\cos(\theta - \phi)[/tex]
Using the addition identity formulas, we can write
[tex]\sin{\theta}\cos{\phi} + \cos{\theta}\sin{\phi} = 2\cos{\theta}\cos{\phi} + 2\sin{\theta}\sin{\phi}[/tex]
Dividing both sides by [tex]\cos{\phi}[/tex], we get
[tex]\sin{\theta} + \cos{\theta}\tan{\phi} = 2\cos{\theta} + 2\sin{\theta}\tan{\phi}[/tex]
Dividing both sides by [tex]\sin{\theta}[/tex], we get
[tex]\tan{\theta} + \tan{\phi} = 2 + 2\tan{\theta}\tan{\phi}[/tex]
or
[tex]\tan{\theta}(1 - 2\tan{\phi}) = 2 - \tan{\phi}[/tex]
Rearranging the terms,
[tex]\tan{\theta} = \dfrac{2 - \tan{\phi}}{1 - 2\tan{\phi}}[/tex]
Here are 2 points in the plane.
Using only a straightedge,can you find points in the plane that are the same distance from points A and B. Explain your reasoning
9514 1404 393
Answer:
no
Step-by-step explanation:
Using only a straightedge, you cannot measure distance, so cannot ensure that any two distances are the same.
__
The points of interest are on the perpendicular bisector of AB, which can be constructed using a compass and straightedge. The straightedge alone is insufficient.
Sean burns 8.5 calories per minute when he runs. How many calories does he burn if he
runs for 45 minutes?
Answer:382.5
Step-by-step explanation: 45 x 8.5 = 382.5
Which number is divisible by 6? a.2244 b.1209 c.2630 d.2991
Answer:
a)2244 is divisible by 6
Step-by-step explanation:
2244/6=374
1209/6=201.5
2630/6=438.333
2991/6=498.5
Given:
f(n) = 7n – 5
Evaluate
n = -3
Answer:
f(-3)= -26
Step-by-step explanation:
Find the area and the circumference of a circle with radius 7 ft.
Answer:
Area is 307.72 ft^2
Circumference is 43.96 ft
Step-by-step explanation:
Area is 2pir^2
Circumference is 2rpi
pi is about 3.14
A=2pi(7)^2
A= 98pi which is about 307.72 ft^2
C= 2(7)pi
C= 14pi which is about 43.96 ft
(I'm not sure whether they want the answer left in terms of pi or not)
Devon is 2 times Sydney's age and sum of their ages =75
Answer:
Devon is 50 and Sydney is 25
Step-by-step explanation:
We know that d + s = 75 and that Devon is two times Sydney's age. This can be represented by 2s + s = 75 (keep in mind that 2s = d). Simplify the equation.
3s = 75
s = 25
Now we can substitute this in the original equation.
d + 25 = 75
d = 50
Best of Luck~
Answer: Sydney=25 Devon=50
Step-by-step explanation:
Sydney's age is represented by x and since Devon is 2 times older (his/her) age would be represented as 2x. So added together would be 3x. So 3x=75. 75/3=25. So x=25 meaning that Sydney is 25 and Devons age is 50 as 25x2=50.
Which expression is another way to write 10,000?
10 × 10 × 10
10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10
Answer:
it's the second one
Step-by-step explanation:
the number of zeros behind the first number is the amount of tens! hope it helps!
Use the converse of the Pythagorean Theorem to check whether a triangle whose sides are of lengths 11, 60, and 61 is a right triangle.
First square the lengths of the sides.
11^2 =
60^2 =
61^2 =
Answer:
yes a right triangle
Step-by-step explanation:
Using the converse of Pythagoras' theorem.
If the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 61 and 61² = 3721 , then
60² + 11² = 3600 + 121 = 3721
Since 61² = 60² + 11² then the triangle is right.
PLS HELP
given the following functions f(x) and g(x), solve f[g(6)].
f(x) = 6x + 12
g(x) = x - 8
options-
-96
0
24
48
Answer:
B
Step-by-step explanation:
f(g(x)) = 6(x-8)+12 = 6x-36
f(g(6)) = 36-36 = 0
Answer:
0
Step-by-step explanation:
i took test and got in right and the person above me explained it perfectly :)
what is the ratio 0.6:2.4 written in simplest form
Answer:
1:4
Step-by-step explanation:
multiply both sides by 10 to get whole numbers which will be 6:24. then divide by the GCF which is 6 and you get 1:4
Help plz ASAp 12345678910112
Answer:
1st box 2nd box 4th box and 7th box
Step-by-step explanation:
2
1,0,0.2, 73, 7.9, 136
3
9.736
a. List all the natural numbers from the given set.
What numbers are natural today
Answer:
1,2,73,and 136
Step-by-step explanation:
hope this helps
mark me as brainliest plz
PLEASE Help!!!!
Jeanne makes jewelry and has an idea for a new pair of earrings. She wants to make a sketch of her design, but only has a marker, a pencil, two pieces of paper, and a coffee mug. Use these items to construct the shape of the earring Jeanne is envisioning.
Step 1: Jeanne traced her coffee mug on her piece of paper. How might she use paper-folding to find the center of the circle? (2 points)
Step 2: Show how a second circle should be drawn in order to continue the construction. What can you say about the radii? Explain your work. (4 points)
Step 3: Describe the final steps in constructing the shape of the earring. Include a drawing.(2 points)
To complete her design Jeane will need to draw a smaller circle within the circle, and by using this circle and previous lines she can create the diamond design.
What should Jeane do after tracing the first circle?The second step is to fold the paper vertically and horizontally to determine the lines that divide it by half.
What is the third step?The third step is to draw a smaller circle within the first circle and make sure the circles are aligned in the center. This circle will have a smaller radius than the first one.
What is the final step?By using the previous lines Jeane should draw the desired design as shown in the image.
Learn more about circles in: https://brainly.com/question/11833983
Betty Learned how to play a total of 14 songs over the course of 7 weeks of piano lessons.In all, how many weeks of piano lessons will Betty need before she be able to play a total of 36 songs? Solve using unit rates.
Answer:
18 weeks
Step-by-step explanation:
14 songs / 7 weeks
2 songs per week
36 songs * 1 week/ 2 songs
36 /2 weeks
18 weeks
Which of the following tables represent functions? If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the table on the left is a function, with the formula : y = x²
2. the table on the right is also a function, indicated by the values of the input are different each others
Write the following number in
scientific notation.
0.05796
[? ][ ]
Answer:
[tex]0.05796 = 5.796 \times {10}^{ - 2} [/tex]
I hope I helped you^_^
Answer:
Step-by-step explanation:
Scientific notation is always written as a number between 1 and 9.999999. The number after the decimal is shown by a power of 10.
so 0.05796 = 5.796 * 10^-2
which means that the decimal was moved to represent a number less than one. That's the point of the minus sign. The two comes from the number of places you have to shift the decimal to get a number between 1 and 10.
List all the digit even numbers that can be created by rearranging these number tiles
1
6
5
8
If your teacher is referring to four digit numbers with those tiles, where the tiles cant repeat, then we have 2 choices for the last slot (the units digit). Those two choices are: 6,8.
Recall that a number is only even if and only if the units digit is even (0,2,4,6,8).
Once a choice has been made for the units digit, we have...
3 choices for the thousands digit (whatever we didn't pick for the units digit)2 choices for the hundreds digit1 choice for the tens digitOverall, we have 2*3*2*1 = 12 different four digit numbers possible.
Those 12 numbers are:
value = 1658value = 1568value = 5168value = 5618value = 6158value = 6518value = 1856value = 1586value = 5186value = 5816value = 8156value = 8516You go to the grocery store to buy milk and some eggs. Milk costs $3.67 and eggs cost $2.40. You want to make sure you have enough money. Estimate the cost of these two items to the nearest ones place.
Answer:
Step-by-step explanation:
Let's start by round 3.67. We look at the key digit which is 6 in this case. Since 6 is greater than 5, 3.67 will round up to 4.
The key digit in 2.40 is 4. 4 is not greater than 5, so we round down to 2.
2+4=6
Therefore, an estimate of these two items to the nearest ones place is $6.
Answer:
$2 for the eggs and $4 for the milk
Step-by-step explanation:
Since the eggs cost $2.40 and after the 2 you can see that there is a 4, " 5 or more we add one more, 4 or less just ignore", so it stays $2. However the milk costs $3.67, and here you can see that after the 3 there is a 4, so since it's more than 5 we change the estimated amount to $4.
I hope you understood, and I hope the answer is right :)
3 over 2
List all of the number sets that contain the number
А. rational numbers only
В.
rational numbers and integers
C rational numbers and natural numbers
D rational number, integers, and natural numbers
Which statement about 6x^2+7x-10 is true?
One of the factors is (x+ 2)
One of the factors is (3x-2)
One of the factors is (2x+5)
One of the factors is (x-5)
Answer:
One of the factors is (x+ 2)
Step-by-step explanation:
[tex]6 {x}^{2} + 7x - 10 \\ = (6x - 5)(x + 2)[/tex]
another factor is (6x - 5)
Adnan earns $48,000 per year. His employer offers him a 4 % raise if he stays with the company What would his new salary be ?
A. 49,929
B. 1,920
C.46,080
D. 192,000
Answer:
A. 49,920
Step-by-step explanation:
Multiply the beginning value by 1 plus the percentage in decimal form.
What is the product 1.3(-3.1)(4.2)
The value of product will be;
⇒ 16.926
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;
The expression is,
⇒ 1.3 (- 3.1) (4.2)
Now,
Since, The expression is,
⇒ 1.3 (- 3.1) (4.2)
After product, we get;
⇒ 1.3 × (- 3.1) × (4.2)
⇒ 4.03 × 4.2
⇒ 16.926
Thus, The value is = 16.926
Learn more about the multiplication visit:
brainly.com/question/10873737
#SPJ2
Consider the function f(t) =
√2-9.
(a) Find the domain of f(t). Express your answer as an interval or union of intervals.
??
(b) Solve f(t) = 4. Enter your answer
a comma separated list.
t =??
y=-4x+3 4x-2y=6 need help now!
Answer: (1, -1) or x = 1, y = -1
Which of the following is not a polynomial?
O A. 3x4
O B. x8+2x3 +7
O C. 5x10 - 4x8 + 2
O D. 5- x2 + 7x0
Answer:
C
Step-by-step explanation:
is not a polynomial because it has a negative exponent.