===================================================
Explanation:
Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = 5^2
9+16 = 25
25 = 25
We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2
This confirms a 3-4-5 triangle is a right triangle.
------
The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.
We can also see that choice D is a non-answer as well.
------
Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.
Let's see what happens when a = 8, b = 14, c = 17
a^2+b^2 = c^2
8^2+14^2 = 17^2
64+196 = 289
260 = 289 .... false equation
We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.
Jack is framing the roof of a structure using a triangle and two exterior angles.
Which relationships about the interior and exterior angles are true? Check all that apply.
a° + b° + c° = 180°
x° + a° = 180°
a° = c°
a° + c° = 90°
x° + a° = b° + c°
The answer is A and B
Answer:
a b
Step-by-step explanation:
If anybody now this pls help my homework due TOMORROW
Answer:
Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]
Part B: C. [tex]3x(x-3) = 0\\[/tex]
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation: [tex]y = (x + 1)(x+3)[/tex]
Now plug in 0 for x.
[tex]y = (0 + 1)(0+3)\\[/tex]
Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation: [tex]3x(x-3) = 0[/tex]
Now plug in x for 0 and solve:
[tex]3* 0 (0-3) = 0\\[/tex]
[tex]0(-3) = 0\\[/tex]
[tex]0 =0\\[/tex]
This equation is true, now we check for the other value of x, 3.
[tex]3*3(3-3) = 0\\[/tex]
[tex]9(0) = 0\\[/tex]
[tex]0 =0\\[/tex]
This is also true so that means this is the correct answer.
Determine the constant of variation for the direct variation given.
(0,0) ,(3,12),(9,36)
Answer:
[tex]r = 4[/tex]
Step-by-step explanation:
Given: Direct Variation
(0,0) ,(3,12),(9,36)
Required
Constant of Variation
Provided that the given data is a direct variation, the constant variation is represented by r.
r is calculated as thus;
[tex]y = rx[/tex]
Divide both sides by x
[tex]r = \frac{y}{x}[/tex]
Point (0,0) is the center of origin and cannot be used
When x = 3, y = 12
and
[tex]r = \frac{12}{3}[/tex]
[tex]r = 4[/tex]
When x = 3, y = 12
and
[tex]r = \frac{36}{9}[/tex]
[tex]r = 4[/tex]
Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]
I don’t need you to explain just answer.
Answer:
domain= {-4,2,3,4}
range = {-4,0,2,3}
Find the area of the following shapes: c
Answer:
20
Step-by-step explanation:
First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!
hi can anybody give me the answer i will mark them as a brainliest
Answer:
[tex]48cm^2[/tex]
Step-by-step explanation:
Use the area of rectangle formula.
[tex]A=lw[/tex]
[tex]A=12 \times 4[/tex]
[tex]A=48[/tex]
If you cut a 12-inch loaf of bread into -inch slices, you would have ______
slices of bread.
Answer:
12 divided by 1/2 = 24
Step-by-step explanation:
Is the square root of 16 + 3/4
How do you write the circumference of the circle in terms on 几
____________________________________
Hey!!!
The formula to find circumference of circle
=2 pi r
For eg:
Radius=4 cm
Circumference of circle=2 pi r
=2 *pi*4
=8 pi
Hope it helps..
Good luck on your assignment
#Stay safe#
__________________________________
It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed? Round to nearest hundredth.
Answer:
9.3 acres per pound
Step-by-step explanation:
93/10
Three dressers are placed side by side one dresser is 2 feet 9 inches wide , another is 2 feet 7 inches wide , and the third 3 feet 11 inches wide . How wide are they combined
Answer:
18 feet 3 inches
Step-by-step explanation:
4 feet 7 inches + 6 feet 11 inches + 6 feet 9 inches =
10 feet 18 inches + 6 feet 9 inches =
16 feet 27 inches =18 feet 3 inches
Answer: 9.25 Feet
Step-by-step explanation:
Step 1: Take all the feet add them together = 7Ft or 84 inches
Step 2: Now add all the inches together to = 27 inches
Step 3: Add 27 + 84 = 111
Step 4: Divide that by 12 cause 1 foot = 12 inches
Step 5: should equal 9.25 :)
which phrase best describes a theorem in an axiomatic system?
Answer:
The best phrase that describes a theorem in axiomatic system is :
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
hope this helps
Answer:
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
if a major sector is 60% of circle whats the measure of central angle
Answer:
S divided by R = 0
the arc is 5.9 and radius is 3.5329 then the central idea becomes 1.67
Step-by-step explanation:
The sum of two numbers is 58. Their difference is 12. Find the numbers.
y+7=-2(x-3) write in slope form
Answer:
y=2x-3
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
y+7=-2(x-3) in slope formula would be y=2x-3, which also means the slope would be m=-2
I hope this helps :)
The cheerleaders at Central Junior High drink
orange juice after their practices. Each can contains 160 mL of juice. How many milliliters are in 2 cans?
Answer:
There are 320 mL in 2 cans
Step-by-step explanation:
Since one can holds 160 mL of orange juice, all we need to do is add them together since it is to cans to get 320 mL.
Answer:
There are 320 mL in 2 cans
Step-by-step explanation:
Since one can holds 160 mL of orange juice, all we need to do is add them together since it is to cans to get 320 mL.
i originally said 320ml but my answer was deleted.
f(x)=x^2
g(x) = (x– 9)^2 +3
We can think of g as a translated (shifted) version of f.
Answer:
To get the function g, shift f up by 3 units and to the right by 9 units.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=(x-9)^2+3[/tex]
If f(x) is a parent function, then g(x) can be written in the form of f(x) as
[tex]g(x)=f(x-9)+3[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] ... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-9,b=3[/tex]
It means, to get the function g, shift f up by 3 units and to the right by 9 units.
Answer:
To get the function g, shift f up by 3 units and to the right by 9 units.
Step-by-step explanation:
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
There are 11 g of drink mix for every ounce of water.
Step-by-step explanation:
In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.
[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]
[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]
The rate is:
[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]
There are 11 g of drink mix for every ounce of water.
Answer:
There are 11 g of drink mix for every ounce of water.
An online store sells old video games and DVDs as a bundle. A bundle of two video games and three DVDs can be purchased for $88. A bundle of one video game and two DVDs can be purchased for $51.50. Find the cost of one video game and the cost of one DVD in the bundle.
Answer:
idk just did like 9 math problems :/
Step-by-step explanation:
ill come back in an hour
20. Rewrite the following expression as a fraction times the variable.
-8a/9
Answer:
-8a times 1/9
Step-by-step explanation:
This can be thought of as -8a/1 times 1/9. (1/9 is the reciprocal of 9, so were just pulling the fraction apart)
The expression is as fraction times the variable is (-8/9)a.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
As per the given,-8a/9
The variable in the above fraction is a.
Thus, (-8/9)a will be the representation in terms of the product of constant and variable.
Hence "The expression is as fraction times the variable is (-8/9)a".
For more about fractions,
https://brainly.com/question/10354322
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which of the following rational functions is graphed below?
Answer:
B.
Step-by-step explanation:
According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)
so our function should be :
[tex]\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}[/tex]
If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?
Answer:
The length of the actual tractor is:
56 feet.Step-by-step explanation:
Firstly, you must know the conversión between inches and feet:
1 foot = 12 inchesOr
1 inch = 0.0833333 feetHow the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:
Length of the actual tractor = 10.5 inches * 64 = 672 inchesThe paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:
1 foot = 12 inchesx = 672 inchesAnd we operate:
x = (672 inches * 1 foot) / 12 inchesAfter we cancel the unit "inches:"
x = 672 feet / 12x = 56 feetFor this reason, we obtain the final value of 56 feet to the actual length of the tractor.
John received 3 detentions in the fourth quarter. He received 4 other
detentions for 1st and 2nd quarters combined. He received 12 for the
whole school year so how many detentions did he receive in the 3rd
quarter?
Answer:
5
Step-by-step explanation:
12 - (3+4)
12 - 7
12 - 7 = 5
5
Answer:
5
Step-by-step explanation:
12 - (3 + 4)
12 - 7
12 - 7 = 5
Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.
Answer:
Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line
Step-by-step explanation:
which number line shows correctly -0.8 + 0.6?
well lets write it in words minus eight tenths plus six tenths\
so minus:
you go 0.8 units to the left from 0,
then plus:
you go 0.6 units right from -0.8, getting to -0.2
since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:
we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2
The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.
What is a number line?
The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.
Here given that we have to find the number line which shows -0.8 + 0.6
By checking all the options
Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.
Hence option A is correct.
Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.
Hence Option B is incorrect.
Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6
Hence Option C is incorrect.
Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8
Hence Option D is incorrect.
Therefore the correct option is Option A.
Learn more about the number line
here: https://brainly.com/question/24644930
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A survey was done of 160 households to find out if they watch cable television, internet television, or
both. Of the 160 households, 109 watched cable television, 88 watched internet television, and 7
watched neither. If a household was selected randomly, what would be the probability that they
watched both cable and internet television?
1) 0.175
2) 0.275
3) 0.375
4) 0.475
Answer: 2) 0.275
Step-by-step explanation:
Total households = 160
Watch Cable TV: 109
Watch internet TV: 88
Watch neither: 7
We want to find the number that watch both of them.
Now, the total number of housholds that watch at least one thing is:
160 - 7 = 153.
Now, if we add the number that watch by cable and the number that watch by internet we have:
109 + 88 = 197
The difference is:
197 - 153 = 44
This means that we have 44 households that watch both things.
This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.
Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:
P = 44/160 = 0.275
The correct option is 2
Help pure people pls
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
= [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answer: -$13.47 per hour
Step-by-step explanation:
Hi, to answer this question we have to write an expression:
The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :
9.25 (36) + 8 (380/20) =
Solving:
333+ 8 (19) =
333+152 = $485
If we divide the result by the number of hours:
485 /36 = $13.47 per hour
Feel free to ask for more if needed or if you did not understand something.
Answer:
$13.47 per hour
:):):):):):)
Please help with this
the answer is D) A and E
HELP PLEASE!!! I don't have a lot of time, please help!!!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
Step-by-step explanation:
It is a function, since each student gets only one score one final exam,]
Domain is each student,
the first to last
Range is the score each student got:
(however the scoring was made)
f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.
Answer:
The domain of f is 'the students in Mr. Well's history class'
The range of f is 'the final exam scores'
f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'
Please help ASAP Very easy !!!!
Answer:
C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]
Step-by-step explanation:
This is the expression that is shown in the graph:
[tex]\frac{3}{4} / \frac{1}{8}[/tex]
We need to calculate the answer, so...
An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:
[tex]\frac{3}{4} *\frac{8}{1}[/tex]
8 divided by 1 is just 8 so you can simplify it:
[tex]\frac{3}{4}*8[/tex]
[tex]=\frac{8*3}{4}[/tex]
[tex]=\frac{24}{4}[/tex]
[tex]=6[/tex]