Answers
Answer:
The Second Option is your Answer ( Option 2)
Step-by-step explanation:
1) proof ( replace h with -2)
|-2-2| = 4
|-4| = 4
2) proof ( replace h with 6)
|6-2| = 4
|4|=4
Hopes this helps !
Answer:
[tex]h = -2\\h = 6[/tex]
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function [tex]f(x) = |x|[/tex] x> 0 for all real numbers.
Then the equation:
[tex]|h-2| = 4[/tex] has two cases
[tex](h-2) = 4[/tex] if [tex]h > 2[/tex] (i)
[tex]-(h-2) = 4[/tex] if [tex]h < 2[/tex] (ii)
We solve the case (i)
[tex]h = 4 + 2\\h = 6[/tex]
We solve the case (ii)
[tex]-h +2 = 4\\h = 2-4\\h = -2[/tex]
Then the solution is:
[tex]h = -2[/tex] or [tex]h = 6[/tex]
Related Questions
Eric wants to collect data about the reading habits of his friends.
The table shows some questions Eric might ask.
Is each question a statistical question that Eric can ask to collect data?
Select Yes or No for each question
Question
?
Does Harry like to read?
0
What is the type of book that Raj likes the most?
0
How many books do each of my friends read each year?
0
How many pages are in each of the books on my friend's bookshelves?
0
Answers
Answer: No, No, Yes, Yes
Step-by-step explanation:
Answer: 1. No 2. No 3. Yes 4. Yes
Step-by-step explanation: I took the online homework and got 100%
and here is proof that I'm right.
Please mark me Brainliest : D
In the solution of the equation 5-3x=2x+9,3x is added to the equation first. Which of the following should be done next?
Answers
Answer:
the correct answer is -9
Step-by-step explanation:
I will give brainliest please help
Answers
Answer:
828
Step-by-step explanation:
Otis had a salad for $4.50, a sandwich for $6.25, and a drink at his favorite restaurant. The tax for the entire meal was $0.54. What was the price of the drink?
Answers
Answer:
Price of the drink = $1.25
Step-by-step explanation:
4.5% * ( $4.5 + $6.25 + drink) = $0.54
4.5/100 * ( $4.5 + $6.25 + drink) = $0.54
0.045 * ( $4.5 + $6.25 + drink) = $0.54
0.045/0.045 * ( $4.5 + $6.25 + drink) = $0.54/0.045
( $4.5 + $6.25 + drink) = $12
10.75 + drink = $12
drink = $12 - $10.75
drink = $1.25
The price of the drink is $1.25
How to determine the price of the drink?The given parameters are:
Tax amount = $0.54
Salad = $4.50
Sandwich = $6.25
Let the price of the drink be x.
Given that the sales tax is 4.5%, we have:
4.5% * ( $4.5 + $6.25 + x) = $0.54
Divide both sides by 4.5%
( $4.5 + $6.25 + x) = $12
Evaluate the sum
$10.75 + x= $12
Subtract $10.75 from both sides
x = $1.25
Hence, the price of the drink is $1.25
Read more about sales tax at:
https://brainly.com/question/25783927
What is the product of 35.263 and 0.29
Answers
The product of 35.263 multiplied by 0.29 is 10.22627 or approximately 10.2
In mathematics, the 'product' is the result you get from multiplying numbers together. The product of 35.263 and 0.29 is calculated by multiplying the two numbers together, resulting in 10.22627.
Explanation:The product of 35.263 and 0.29 can be found by simply multiplying these two numbers together. In mathematics, the term 'product' refers to the result obtained by multiplying two or more numbers together. So, to find the product of 35.263 and 0.29, you just need to multiply these two numbers:
35.263 * 0.29 = 10.22627
Therefore, the product of 35.263 and 0.29 is 10.22627.
Learn more about Product of Multiplication here:https://brainly.com/question/31670943
#SPJ2
Alicia´s gross monthly pay is 1,700. Alicia pays 1.25% of her monthly salary for Medicare. how much dose she pay
Answers
Answer:
$21.25
Step-by-step explanation:
1700 x 1.25% = 1700 x 0.0125 = 21.25
So Alicia's paying $21.25 of her monthly salary to Medicare.
Answer:
$21.25
Step-by-step explanation:
If Alicia´s gross monthly pay is 1,700 and she pays 1.25% of her monthly salary for Medicare, she would pay $21.25.
In order to find this, you must multiply the gross monthly pay by the percent.
1,700 x 1.25 = 21.25
a poster is 8in by 6in what are the dimensions if the poster is enlarged by a factor of 7/2
Answers
Answer:
[tex]21\ in[/tex] by [tex]63\ in[/tex]
Step-by-step explanation:
we know that
To find the dimensions of the enlarged poster, multiply the original dimensions of the poster by the scale factor
so
[tex]18(\frac{7}{2})=63\ in[/tex]
[tex]6(\frac{7}{2})=21\ in[/tex]
therefore
The dimensions of the enlarged poster are [tex]21\ in[/tex] by [tex]63\ in[/tex]
A flashlight is projecting onto a wall, as shown below
Answers
Answer:
n = 30
Step-by-step explanation:
The triangles share the same angle measures, so they are similar triangles. The side lengths of similar triangles are proportional to each other, so we can set up a proportion and solve for n...
16 is to 20 as 24 is to n
16/20 = 24/n now solve for n by cross multiplying
16n = 480
n = 30 (divide both sides by 16)
We are given that the original triangle and its projection are similar. This means that the corresponding angles of the two triangles are congruent, and the ratios of their side lengths are equal.
We are also given the lengths of two sides of the original triangle: 16 cm for the base and 20 cm for the hypotenuse. We are asked to find the missing length on the projection, which corresponds to the base of the original triangle.
To solve this problem, we can set up a proportion based on the similar triangles. Let x be the missing length on the projection:
(base of original triangle) / (base of projection) = (hypotenuse of original triangle) / (hypotenuse of projection)
Substituting the known values:
16 cm / x = 20 cm / 24 cmCross-multiplying:
16 cm * 24 cm = x * 20 cm384 [tex]cm^2[/tex] = 20x [tex]cm^2[/tex]x = 384 [tex]cm^2[/tex] / 20 [tex]cm^2[/tex]x = 19.2 cmTherefore, the missing length on the projection is 19.2 cm. However, the answer choices are all rounded to one decimal place.
Rounding 19.2 cm to one decimal place gives us 19.0 cm. Therefore, none of the provided options are correct.
The question probable maybe:
A flashlight is projecting onto a wall, as shown below
The original triangle and its projection are similar. What is the missing length on the projection?
a. 12.6
b. 17.9
c. 35
d. 31
1. Add or Subtract. Show your work
a. (-2x^2-4x+13)+(12x^2+2x-25)
b. (7x^2+4x-26)-(-7x^2-3x+15)
2. Find the roots. List your steps correctly.
f(n)=n^2-6n-16
Answers
QUESTION 1a.
We want to add
[tex]( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)[/tex]
We group similar terms to get
[tex]- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13[/tex]
Simplify:
[tex]- 10{x}^{2} - 2x -12[/tex]
QUESTION 1b.
The given function is:
[tex](7x^2+4x-26)-(-7x^2-3x+15)[/tex]
Expand the parenthesis to obtain,
[tex]7x^2+4x-26 + 7x^2 + 3x - 15[/tex]
Group similar terms,
[tex]7x^2+7 {x}^{2} + 4x + 3x-26 - 15[/tex]
Simplify:
[tex]14{x}^{2} + 7x-41[/tex]
QUESTION 2
The given function is
[tex]f(n)=n^2-6n-16[/tex]
The zeros of this function is given by;
[tex]n^2-6n-16 = 0[/tex]
Split the middle term.
[tex]n^2-8n + 2n-16 = 0[/tex]
Factor;
[tex]n(n - 8) + 2(n - 8) = 0[/tex]
[tex](n - 8)(n + 2) = 0[/tex]
[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]
[tex]n = 8 \: or \: n = - 2[/tex]
Which statements are true? Select all that apply.
Centigrams are larger than decigrams.
Hectometers are smaller than kilometers.
Dekaliters are larger than kiloliters.
Grams are smaller than dekagrams.
Answers
Answer:
Hectometers are smaller than kilometers
and
Grams are smaller than dekagrams.
Hope it help you! :3
Answer:so sorry for give me its on accident
Mr. Stanford’s greenhouse has the dimensions shown. The volume of the greenhouse is 90 cubic yards. Find the missing dimension of the greenhouse.
Answers
Answer:
[tex]h=10\ yd[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism of the figure is equal to
[tex]V=Bh[/tex]
where
B is the area of the triangular base
h is the height of the triangular prism
Find the value of B
[tex]B=\frac{1}{2}(6)(3)=9\ yd^{2}[/tex]
we have that
[tex]V=90\ yd^{3}[/tex]
substitute the values and solve for h
[tex]90=9h[/tex]
[tex]h=90/9=10\ yd[/tex]
Answer:
B
Step-by-step explanation:
solve the equation
-84= 6(p-8)
Answers
Answer:
p=-6
Step-by-step explanation:
-84/6=p-8
-14=p-8
p=-6
A principal conducts a study to find the average age of all math teachers in a given high school by recording all their ages. What type of study is this?
Answers
Answer: using edg.?
keep it simple.
Answer is Census.
Step-by-step explanation:
Answer:
Question 1 is: Experiment
Question 2 is: Census
Step-by-step explanation:
trust me
An office has an area of 120 meters squared and it is 12 meters wide. Write an equation to represent the area.
Answers
If you need to find the length, it is 10 meters.
I will use x to represent the length of the room, since the letter l shows up like an I or a 1.
The simple equation is 12x = 120, since length times width equals area.
If you want to solve for the length, then divide both sides of the equation by 12. This leaves you with x = 10. So, the length of the room is 10 meters.
Please consider marking this answer as Brainliest to help me advance.
Which table shows a proportional relationship between X and y
Answers
Answer:
B
Step-by-step explanation:
all of the numbers times three equals the number across from it.
Hope this helps!
Name the following in the figure shown below the base or bases, the part labeled PQ and the figure itself
A circle, radius, sphere
B circle, diameter, cylinder
C none, radius, cylinder
D none, diameter, sphere
Answers
Answer: The answer is B because
The Circumference of a circle or a sphere is equal to 6.2832 times the Radius. The Circumference of a circle or a sphere is equal to 3.1416 times the diameter.
Petra is raking leaves in her backyard. Petra’s backyard is rectangular and has an area of 476 square feet. One side of the backyard is 28 ft. How long is the other side?
Answers
..........................
Answers
Answer:
jkdnfj dsbnjhfvbdsybvkdsbfvbhjvfblvsdjvdshjkvsdbhjkvndhjs
Step-by-step explanation:
Common factors of 16a and 20ab.
Answers
Answer:
[tex]\large\boxed{Common\ factors:\ 1,\ 2,\ 4,\ a,\ 2a,\ 4a}[/tex]
Step-by-step explanation:
[tex]16a=2\cdot2\cdot2\cdot2\cdot a\\Factors:\boxed1,\ \boxed2,\ \boxed4,\ 8,\ 16,\ \boxed{a},\ \boxed{2a},\ \boxed{4a},\ 8a,\ 16a\\\\20ab=2\cdot2\cdot5\cdot a\cdot b\\Factors:\boxed1,\ \boxed2,\ \boxed4,\ 5,\ 10,\ 20,\ \boxed{a},\ \boxed{2a},\ \boxed{4a},\ 5a,\ 10a,\ 20a,\\b,\ 2b,\ 4b,\ 5b,\ 10b,\ 20b,\ 2ab,\ 4ab,\ 5ab,\ 10ab,\ 20ab\\\\Common\ factors:\ 1,\ 2,\ 4,\ a,\ 2a,\ 4a[/tex]
Answer:
2, 4, and a
Step-by-step explanation:
Factors of 16a: 2, 4, 8, 16, a
Factors of 20ab: 2, 4, 5, 10, 20, a, b
The common factors of 16a and 20ab are 2, 4, and a.
First to answer will be the brainliest I need the answer ASAP
Answers
the graphs below have the same shape. What is the equation of the blue graph?
Answers
y=g(x)
we put value of x=-3 in different equation given above the original function should give 1 output(from the graph)
it is only (C) which gives 1.
Option: C is the correct answer.
The equation of the blue graph i.e. function G(x) is:
C. [tex]G(x)=(x+3)^2+1[/tex]
Step-by-step explanation:We are given a parent function F(x) as:
[tex]F(x)=x^2[/tex]
Now after looking at the graph of the transformed function G(x) we see that the graph of G(x) is obtained by shifting the graph of F(x) 3 units to the left and 1 units upward.
Hence, the equation of the transformed function G(x) is given by:
[tex]G(x)=(x+3)^2+1[/tex]
Does the point (3,-1) lie on the circle (x+1)2 +(y-1)2=16?
Answers
(3 + 1)^2 + (-1 - 1)^2 = 16
4^2 + (-2)^2 = 16
16 + 4 = 16
20 = 16
20 is clearly not equal to 16, so we know the point (3, -1) can’t lie on that circle.
Final answer:
After substituting the x and y values of the point (3,-1) into the circle's equation, it is determined that (3,-1) does not lie on the circle since the equation does not hold true.
Explanation:
To determine if the point (3,-1) lies on the circle given by the equation [tex](x+1)^2 + (y-1)^2[/tex]=16, we must substitute the x and y values of the point into the equation and see if the equation holds true.
Let's plug in x = 3 and y = -1:
[tex](3+1)^2 + (-1-1)^2[/tex]= 16
[tex](4)^2 + (-2)^2[/tex] = 16
16 + 4 = 20
Since 16 + 4 does not equal 16, the point (3, -1) does not lie on the circle
A box is 8 1/2 inches wide 12 3/4 inches long in 5 1/2 inches tall what is the total surface area of 3 such boxes
Answers
Step-by-step explanation:
Surface Area Formula: SA=2lw+2lh+2hw
SA is surface area. l is length, w is width, h is height. Make sure to follow PEMDAS and keep multiplication together before adding.
Now substitute values
2(12 3/4*8 1/2)+ 2(12 3/4 * 5 1/2)+ 2(5 1/2*8 1/2)
SA=450.5 inches squared
To find the total surface area of three identical boxes with given dimensions, calculate the surface area of one box using the formula for a rectangular prism and then multiply by three. The total surface area of three boxes is 1351.5 square inches.
Calculating the Total Surface Area of Three Boxes
The question involves finding the total surface area of three identical boxes, each with the dimensions 8 1/2 inches wide, 12 3/4 inches long, and 5 1/2 inches tall. To calculate the surface area of one box, we use the formula for surface area of a rectangular prism:
SA = 2lw + 2lh + 2wh
where SA is the surface area, l is the length, w is the width, and h is the height. Convert fractions to decimals for easy calculation:
Width (w) = 8.5 inches
Length (l) = 12.75 inches
Height (h) = 5.5 inches
Applying the dimensions:
SA = 2(12.75)(8.5) + 2(12.75)(5.5) + 2(8.5)(5.5)
Calculate and add up the areas for each pair of sides:
SA = 2(108.375) + 2(70.125) + 2(46.75)
SA = 216.75 + 140.25 + 93.5
Sum to find the total surface area for one box:
SA = 450.5 square inches
To find the total surface area for three boxes, multiply the surface area of one box by 3:
Total SA = 450.5 * 3
Total SA = 1351.5 square inches
The total surface area of three such boxes is 1351.5 square inches.
Which of the following statements is true?
A. Pi = 22/7
B. Pi = 355/13
C. Pi is the ratio of a circles circumference to its diameter
D. Pi is the ratio to a circle diameter to its circumference
E. Pi is a terminating recurring decimal
Answers
A. Pi= 22/7 =3.1415....
C. Pi is the ratio to a circles circumference to its diameter
Arthur is creating a garden in his backyard. He has less than 250 square yards of space to use. He plans to use 25 square yards to plant flowers. He plans to divide the remaining space into plots of equal size for vegetables. Each vegetable plot will be 30 square yards. How many plots of equal size can Arthur plan for vegetables? PLEASE HELPPPPPP!!
Answers
7 because subtract 25 from 250 the divide 225 by 30 to get 7.5 so he can only use 7 square yards
I find that t is easiest to solve these types of questions when you make it into an equation.
This can be written as 250=30x+25
X is the amount of vegetable plots Arthur can plant. Since each vegetable plot is 30 square yards, we multiply the amount of vegetable plots he can place, which is unknown, by 30. Thus, it comes out 30x.
Since he already used up 25 square yards of the backyard, we write it as +25.
Now, solve.
250=30x+25
225=30x
7.5=x
Arthur can make 7 more plots (Or 7.5 of you want to be specific.
Hope this helps!
What does this mean I am really stuck please help me
Answers
The ratio is how much something has, comparative to another thing.
So, for every 10 apples, there are 4 oranges (first blank). Therefore, if there is half, five, of the apples, there are two (second blank), half of four, oranges. And, if the number of oranges tripled (12), there will be triple apples, which is 30 (third blank).
Answer: 10:4, 5:8, 1:12
Step-by-step explanation:
So for apples it goes my 10 then to 5 right? So the next one must be 1
For orange the first number they gave u is 4 and the 3rd number is 12. If u look in the multiplication table it goes like 4,8,12, ect.
Can someone please help ASAP???
Answers
Answer:
y = -5
Step-by-step explanation:
To solve this, we simply plug in 4 into x and then solve for y. We have:
[tex]-3x+9y=-57\\[/tex]
Now we put 4 into x and do some algebra and solve for the value of y:
[tex]-3x+9y=-57\\-3(4)+9y=-57\\-12+9y=-57\\9y=-57+12\\9y=-45\\y=\frac{-45}{9}\\y=-5[/tex]
So y = -5
Evaluate (b+c) if a=2,b=-5 and c= -3
Answers
It’s a good idea to get into the habit of using parentheses
when substituting numbers in for variables.
If you have parentheses in your original problem, change them to brackets as you substitute (to avoid confusion).
Now plug in the values for b and c into the problem.
So we have [(-5) + (-3)].
Simplifying inside the brackets, we get [(-8)].
So -8 is the answer.
At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft. How long is x?
Answers
Answer:
Step-by-step explanation:
(x/12) = (15/9)
x = 12 (15/9)
x = 20
Answer:
20 feet
Step-by-step explanation:
a = 9 ft., b = 15 ft., c = 12 ft.
c/a = ?,? times b = x
12/9 = 1.3, 1.3(15)= 20
If point A is located at (-9,2)on the coordinate plane and point B is located at (-9,10)what is the distance between the two points?
Answers
Answer:
8 units
Step-by-step explanation:
The x coordinates don't change so you just subtract 2 from 10 to get the distance.
Answer:
8
Step-by-step explanation:
To calculate the distance d, using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 9, 2) and (x₂, y₂ ) = B(- 9, 10)
d = [tex]\sqrt{(-9+9)^2+(10-2)^2}[/tex]
= [tex]\sqrt{0^2+8^2}[/tex] = [tex]\sqrt{64}[/tex] = 8