Answers
45a^2 - 5b^2 -33a + 11b +2
Related Questions
x : y = 5:3 and y: z = 7:10 Find x: z
Answers
Answer: USE A APP CALLED AIR MATH IT HELPED ME ALOT YOU TAKE A PICTURE
Step-by-step explanation:
Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?
Answers
Answer:
[tex] \huge{ \boxed{ \tt{17 \: cm}}}[/tex]
Option D is the correct choice.
☪ First , Let's know about right triangle , legs and hypotenuse :
A right triangle is a triangle with an angle of 90°.The two sides that form the right angle are called legs.The opposite side of right angle is the hypotenuse.☥ Let's explore about The Pythagorean Theorem :
Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse. In algebraic terms , The Pythagorean Theorem is stated as : [tex] \boxed{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]------------------------------------------------------------
☯ Now , let's start to solve :
✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = 8 cm , b = 15 cm✑ [tex] \underline{ \underline{ \text{To\: Find}}} : [/tex]
Length of a hypotenuse ( c )✐ [tex] \underline{ \bold{ \underline{Using \: Pythagorean \: Theorem}}} \: : [/tex]
☞ [tex] \boxed{ \bold{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}}[/tex]
Substitute the known values :
↦ [tex] \sf{ {8}^{2} + {15}^{2} = {c}^{2}}[/tex]
↦ [tex] \sf{64 + 225 = {c}^{2} }[/tex]
↦ [tex] \sf{289 = {c}^{2} }[/tex]
↦ [tex] \sf{ {c}^{2} = 289 }[/tex]
Take the square roots of both sides :
↦ [tex] \sf{ \sqrt{ {c}^{2} } = \sqrt{289}} [/tex]
↦ [tex] \boxed{ \sf{c = 17 \: cm}}[/tex]
The length of the hypotenuse is [tex] \boxed{ \bold{ \text{17 \: cm}}}[/tex].
And we're done!!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
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Please help how to do this problem ❤️ gets 50 points
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Answer:
Step-by-step explanation:
-0.166666666666666667
is the height of 6 and the volume of 96 proportional to the height of 4 and the volume of 64
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Answer:
yes it is and there has to be 20 characters so gonna type random stuff after
Answer:
16
Step-by-step explanation:
64 divided by 4 = 16 and 96 divided 6 = 16
Help! I’m awful at graphs and stuff
Answers
Answer: for b: function one has a greater rate of change
Step-by-step explanation: sorry i don't know the first one
Answer:
a) -2 and 4, b) function 2
Step-by-step explanation:
Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug the points in:
[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]
(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)
So the slope of function 1 is -2.
We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.
[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]
And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.
Function 2 has a greater rate of change, since 4>-2.
Hope this helps!
The graph of y = (x − 4)^2 − 49 has an x-intercept at (a, 0) where a > 0. What is a?
Answers
Based on the calculations using the given x-intercept of this graph, the value of a is equal to 11.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
Given that the x-intercept is at (a, 0), we would simply substitute the given points as follows:
y = (x − 4)^2 − 49
0 = (a − 4)^2 − 49
(a − 4)^2 = 49
Taking the square of both sides, we have:
a - 4 = √49
a - 4 = 7
a = 7 + 4
a = 11.
Read more on x-intercept here: https://brainly.com/question/24363347
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l have x #50 note and y#100 note.There are eight note altogether and their total value is#550. how many of each note do i have
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Given the total number of notes is eight and their value total is $550, then you have 5 notes of $50 and 3 notes of $100
As per the question statement, You have [tex]x[/tex] number of $50 notes and [tex]y[/tex] number of $100 notes. Their total value of $550 and total number of notes are eight. We are supposed to calculate the value of [tex]x[/tex] & [tex]y[/tex]
This question is a classic example of how to form and solve linear equations. For solving this, we will have two equations, both in two variable x and y.
As we have total 8 notes, therefore,
[tex]x+y=8[/tex]
And their total value is 550, therefore,
[tex]x*50+y*100=550[/tex]
From 1st equation we get, [tex]y=8-x[/tex]
substituting this in another equation, we get
[tex]x*50+(8-x)(100)=550\\50x+800-100x=550\\800-50x=550\\50x=250\\x=5[/tex]
Solving for y, we get
[tex]y=8-x\\x=5\\y=8-5\\y=3[/tex]
Therefore we have 5 notes of $50 i.e., [tex]x=5[/tex] and 3 notes of $100 i.e., [tex]y=3[/tex]
Linear Equations: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable. Here we are solving for two variables hence the two equations are to be formed.To learn more about such questions, click on the link given below:
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find the quotient. Problem is below
Answers
Answer:
26/9
Step-by-step explanation:
whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:
13/2 * 4/9
just do straight multiplication
numerators: 13*4 = 52
denominators: 2*9 = 18
52/18 = 26/9
T a bake sale, bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales. twice as many cookies were sold at the $2.00 charge than at the $3.00 charge. a. write a system of equations to represent this situation. be sure to define your variables.
Answers
71 cookies were sold at $2.00 each, whereas 35 cookies were sold at $3.00
What are simultaneous equations?
Simultaneous equations are related equations that are solved together to determine their unknown variables
Given : bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales.
Let X be number of cookies sold at $3.00
Then cookies sold at $2.00 would be 2X
2X+X=106
3X=106
X=106/3
X=35(cookies sold at $3.00)
cookies sold at $2.00=106-35
cookies sold at $2.00=71
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6 + 8(x - 1) = 2(3x + 4)
6 + 8x - 8 = 6x + 8
8x - 2 = 6x + 8
14x - 2 = 8
14x = 10
5
x=7
The mistake was.....
The correct answer is x=?
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Step-by-step explanation:
6+ 8x-8 = 6x +8
-2+8x= 6x+8
-6x+8x=2+8
2x=10/2
x=5
The mistake was that u didn't change 6x in ti-6x. when u transfer numbers over the = thery change if positive to negative and if negative to positive
I hope I helped
please help will give brainlest
Answers
Answer: ) (0,0), (0,2), (2,0), (4,2); Maximum value of 10
Hope this helps :)
Solve Each Equation PLS SHOW WORK
|8m + 7| - 5 = 60
Answers
Answer:
m = 7.25
Step-by-step explanation:
8m + 7 - 5 = 60
Evaluate like terms.
8m + 2 = 60
Isolate 8m.
8m = 60 - 2
Evaluate.
8m = 58
Find m.
m = 58 ÷ 8
m = 7.25
Answer:
Step-by-step explanation:
l8m+7l = 65
(8m+7) = 65 or -(8m+7) = 65
8m = 65-7 or -8m = 65 + 7
m= 58/8 or m = 72/(-8)
m= 7. 25 or m = -9
Determine the value of k so that f(x)=x^3+kx^2-kx-93 is divisible by (x+3) with no remainder
Answers
Answer:
k = 10
Step-by-step explanation:
For f(x) = x³ + kx² - kx - 93 to be divisible by (x+3) with no remainder, it means that at (x + 3) is a factor of the polynomial f(x).
Thus, it means that at x = -3, f(x) must be equal to zero.
Thus;
(-3)³ + k(-3)² - k(-3) - 93 = 0
-27 + 9k + 3k - 93 = 0
12k - 120 = 0
12k = 120
k = 120/12
k = 10
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three teams was 476 points. Which statement about the number of points is true? Team A scored 85 points. Team A scored 255 points. Team C scored 261 points. Team C scored 130 points.
Answers
Answer:
"Team C scored 130 points."
Step-by-step explanation:
Let x represent how many points team B scored.
Team A: 3x + 6
Team B: x
Team C: x + 45
Total: 476 points
476 = (x) + (3x + 6) + (x + 45)
476 = x + 3x + 6 + x + 45
476 = 5x + 51
425 = 5x
x = 85
Team A:
3(85) + 6
= 261 pts
Team B:
= 85 pts
Team C:
(85) + 45
= 130 points
Answer:
Team c 130
Step-by-step explanation:
20% of the people in a school hall are teachers and the rest are pupils. 75% of the pupils are boys and there are 72 more boys than girls. How many boys must leave the hall so that 20% of the people in the hall ar boys?
Answers
Answer:36
im pretty sure when I looked it up it said
Answer:
hahahha
Step-by-step explanation:
Simplify 12+(-8)+(-5)
Answers
Answer: -1
Step-by-step explanation:
12+(-8)+(-5)
4+(-5)
= -1
4-5
-1
that is the answer
Can someone help me please
Answers
Answer:i would say the answer is A
Step-by-step explanation:its my personal opinion i hope it helps
How many pounds are in 3000 ounces?
Answers
Answer:
187.5 pounds are in 3000 ounces
Step-by-step explanation:
The answer will be 187.5 pounds
Here is an isosceles triangle.
Choose the true statements.
A. The triangle has two equal angles.
B. The triangle has an obtuse angle.
C. Two of the sides are the same length.
Answers
Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She bought a total of 17 bags and boxes and paid a total kf $192. How manh bags of balloons did sheila buy?
Answers
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
If x = 9 and y = –1, evaluate the following
expression:
5/X – Y
Give your answer as a fraction in its simplest form.
Answers
5/9-(-1)=x
following the order of operations, you need to divide first.
5/9 is going to be the smallest fraction you can get so you move on to subtracting. knowing that subtracting a negative number acts as adding that number as a positive.
5/9+1= 1 5/9 as a mixed fraction which is the simplest form.
i need help with conditional statements if your first do top 2 if your second do bottom 2
Answers
Answer:
1: Converse: If GH is 3, then G is at 4
Inverse: If G is not at 4, the GH is not 3
Contrapositive: If GH is not 3, then G is not 4
2: Converse: If QR =(~) RS, then R is the midpoint of QS
Inverse: If QR does not =(~) RS, then R is not the midpoint of QS
Contrapositive: If R is not the midpoint of QS, the QR does not =(~) RS.
Step-by-step explanation:
Converse is to switch the two
Inverse is to make them both untrue, like if 1 +1 is 2, then 2+2 is 4, you could say if 1+1 is not 2, the 2+2 is not 4
Contrapositive is to switch them around and make them both untrue
Can I please have brainliest ;D
PLEASE HELP MEEEEE!!!!!
Answers
Answer:
I think it might be d
Step-by-step explanation:
NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.
a. Fill in the table.
b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).
Answers
Step-by-step explanation:
table
0 32000
1 30000
2 28000
3 26000
4 24000
question 2
y= - 2000*x+32000
graphic
Determine which quadrant the point is in: (-2,-5)
Quadrant
Answers
Draw a triangle with vertices (2,3), (3,5), and (5,3). Then translate 4 units left. Graph the translated figure and provide the translated coordinates.
Answers
(X,Y)
left/right = X
up/down = Y
A tile backsplash is being installed. The installation fee is $150.00. The title is priced at $2.75 per square foot, f. Which equation best represents the total cost, c, of the backsplash
A. c = 150f + 2.75
B. c = 2.75 - 150f
C. c = 2.75 + 150
D. c = 152.75f
Answers
Answer:
c = 2.75f + 150Step-by-step explanation:
The installation fee is one off payment and tiles price depends on the area, so the total price for f square foot tile is:
c = 2.75f + 150It seems to be the option C but there is a typo (missing f)
Answer:
c = 2.75f + 150Given:
Installation fee is $150.00The title is priced at 2.75 square footOption C represents the answer.
Answer - c = 2.75f + 150
Find the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13
Answers
The coordinates of the midpoint are 22,-4.
What is a midpoint?A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.
Given that the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13.
The midpoint will be calculated as:-
M = ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ,
M = ( 16 + 28 ) / 2 , ( 5 - 13 ) / 2 ,
M = ( 44 ) / 2 , ( -8 ) / 2 ,
M = 22 , -4
Therefore, the coordinates of the midpoint are 22,-4.
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Polly buys 4.4 yards of fabric for $16.50. What is the cost per yard?
Answers
Answer:
1 yard is $3.75
Step-by-step explanation:
4.4 to get 1 divide by 4.4
so divide 16.50 by 4.4 to get $3.75
Answer:
1 yard is $3.75
Step-by-step explanation:
$16.50 ÷ 4.4 yards = $3.75
I hope this helps you and your assignment!
Pleaseee , whic graph represents the inequiality?
Answers
Step by Step:
not needed.