Step-by-step explanation:
Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
Which side of the pentagon on the right corresponds to
side KJ on the pentagon on the left.
Answer:
side st.Step-by-step explanation:
st corresponds to kj since a it has five sides.solve the equation.
g - 16 = 8
g =
Answer:
24
Step-by-step explanation:
24-16=8
The solution to the equation is g = 24.
To solve the equation g - 16 = 8 and find the value of g.
we need to isolate the variable g on one side of the equation.
Starting with the given equation:
g - 16 = 8
To isolate g, we can add 16 to both sides of the equation:
g - 16 + 16 = 8 + 16
g = 24
Therefore, the solution to the equation is g = 24.
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The solution set of the quadratic inequality x squared minus 5 x plus 4 less or equal than 0 is
Answer:
it is equal to 0
A refrigerator magnet uses five eights of an inch of magnetic tape how many refrigerator magnets can you make with 10 inches of magnetic tape
ANSWER: You can make 16 refrigerator magnets.
If you divide 10 by 5/8, you multiply by the reciprocal of 5/8 which is 8/5. You have 8/5 x 10. Cross simplify and you have 16.
How tall is the table?
Answer:
too complex:<
Step-by-step explanation:
120cm+120cm=240cm (2 squirrels + 2 air spaces)
90cm+90cm=180cm (2 rats + 2 air spaces)
240cm-180cm=(2 squirrels + 2 air spaces) - (2 rats + 2 air spaces)
=2 squirrels + 2 air spaces - 2 rats - 2 air spaces
=2 squirrels - 2 rats
=60cm
1 squirrel - 1 rat = 60cm divided by 2
= 30cm
120cm + 90cm = squirrel + air space + rat + air space
= 210cm
I've no idea!! This qn is too challenging!!
But i hope the above workings might help you in a way or another:>
The table is 105cm tall.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the table is x
Squirrel is y
Rat is z
From 1st diagram
x+y-z=120...(1)
From 2nd diagram
x+z-y=90...(2)
Add 1 and 2
x+y-z+x+z-y=120+90
2x=210
Divide both sides by 2
x=105
Hence, the table is 105cm tall.
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Been stuck on this since yesterday !!?!?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
I have uploaded a graph for you. The x axis is the number of years. The y axis is the salary multiplied by 1000. I should have made the multiplication factor 10000 but 1000 will do.
The 5 given points are plotted in red. The blue line is the function.
The function is y = 5x + 35. That means for every year you add 5 times the year onto the salary.
No years is 35000
1 year is 1 * 5000 + 35000
2 years is 2 * 5000 + 35000 = 45000
6 years is 5 * 5000 * 35000 = 65000
and so on.
The point you want is x = 12
12 years is 12 * 5000 + 35000 = 95000
Forgot the graph
PLEASEEEE I NEED HELP, 8TH GRADE MATH
Answer:
(6, ....... ) ( -3, .........) ( 1, .......)
x,y values therefore = (6, 29) ( -3, -34) (1, -6)
as x = 0 when y = -13
we simply x 6 into equation to find 30
y = 7 x 6 -13
y = 42 - 13
y = 29
Then for -3 we simply x by -3 to find y
y = 7 x -3 -13
y = -21 - 13
y = -34
then for 1 we simply x by 1 to find y
y = 7 x 1 -13
y = 7 - 13
y = -6
y = 7x - 13
Step 1) Set above equation equal to 0 by remembering the methods;
Solve y-7x+13 = 0
Step 2) Calculate the y intercept;
Notice that when x = 0 the value of y is -13/1 so this line "cuts" the y axis at y=-13.00000 see attached to help memorize.
Step 3) Calculate the X-Intercept :
When y = 0 the value of x is 13/7 Our line therefore "cuts" the x axis at x= 1.85714
Step 4) Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - (-13.000) = 14.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 14.000/2.000 = 7.000
As seen below.
x-intercept = 13/7 = 1.85714
slope = 14000/2000 = 7000
x intercept = 13/7 = 1.85714
y intercept = 13/1 = 13.00000
Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25 + 10 10 + 0.250. pless help
Answer:
10 + .25t
Step-by-step explanation:
The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets
cost = 10 + .25t
How do we solve this?
It asks for partial derivative, and you have to derive it with respect to 'y' variable.
[tex]f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2[/tex]
2/c = 4/9
(these are fractions btw)
Answer:
2/9
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Graph y=|x|+5, how does it compare to parent graph y=|x|
9514 1404 393
Answer:
it is shifted 5 units upward
Step-by-step explanation:
The y-coordinate is a measure of the distance above the x-axis. When 5 is added to a y-coordinate, the point is shifted 5 units upward.
The function y = |x| +5 adds 5 units to the y-value of every point of the graph of y = |x|. The graph of y=|x|+5 is shifted 5 units upward from the parent graph.
f=((-1,1),(1,-2),(3,-4)) g=((5,0),(-3,4),(1,1),(-4,1)) find (fg)(1)
Answer:
f(g(1)) = - 2
Step-by-step explanation:
Find g(1) then use the value obtained to find f(x)
g(1) = 1 ← value of y when x = 1 (1, 1 ) , then
f(1) = - 2 ← value of y when x = 1 (1, - 2 )
On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have three pieces. How many choices does she have
Answer:
[tex]56[/tex] choices
Step-by-step explanation:
We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy does not matter.
To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.
Anyways, back to the solving! Remember that the combination formula is
[tex]_nC_r=\frac{n!}{r!(n-r)!}[/tex], where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.
In this case, [tex]n=8[/tex] and [tex]r=3[/tex]. Substituting these values into the formula gives us:
[tex]_8C_3=\frac{8!}{3!5!}[/tex]
[tex]= \frac{8*7*6*5*4*3*2*1}{3*2*1*5*4*3*2*1}[/tex] (Expand the factorials)
[tex]=\frac{8*7*6}{3*2*1}[/tex] (Cancel out [tex]5*4*3*2*1[/tex])
[tex]=\frac{8*7*6}{6}[/tex] (Evaluate denominator)
[tex]=8*7[/tex] (Cancel out [tex]6[/tex])
[tex]=56[/tex]
Therefore, the child has [tex]\bf56[/tex] different ways to pick the candies. Hope this helps!
Please help! Determine whether the conjecture is true or false and put an example on why it is
Answer:
Step-by-step explanation:
The first one is true. There can't be any other choice.
a = 5959599949 b = 0 then a*b = 0 because b = 0
The Second one is also true, although you may stall trying to figure out what is meant.
Suppose the angle to start with is 30 degrees
There are two angles that are supplementary to this angle. They can only be 180 - 30 = 150 each. Therefore they are equal to each other. This happens because supplementary angles must add to 180 and nothing else.
The third one is false. You can think of states like Montana which has 3 syllables and Wyoming which also has 3. Texas has two. But guess what? Maine only has 1.
The last one is also false. If you square an even number, you get an even number. Add 1 and you get an odd number. 4^2 = 16 Add 1 you get 17. Seventeen is odd.
Please help me l am in many problem please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Answer:
Answer for g
Step-by-step explanation:
i think its this way because i dont know the question
if 4x-5y=6 and xy=8 then find the value of 16x^2+25y^2
Answer:
Hello,
356
Step-by-step explanation:
[tex]4x-5y=6\\xy=8\\\\(4x-5y)^2=16x^2+25y^2-40xy\\\\\\16x^2+25y^2=(4x-5y)^2+40xy=6^2+40*8=356\\[/tex]
Find the equation of the line that contains the point (4, -2) and is perpendicular to the line y = - 2x + 5.
y = 2x - 10
y = - 2x + 6
y = - 1/2x
y = 1/2x - 4
Answer:
It's option D. y = 1/2x - 4
Step-by-step explanation:
I used Desmos to find the answer, hope the graph helps!
Look at the image for the question.
Answer:
38 cm^2
Step-by-step explanation:
The surface area of a rectangular prism is
SA = 2(lw+wh+lh) where h is the height l is the length and w is the width
SA = 2( 3*1 + 3*4+4*1)
= 2(3+12+4)
= 2(19)
= 38 cm^2
find inverse of f(x)=- 1/2 x+11
Answer:
-2x + 22
Step-by-step explanation:
We have the function f(x) = -1/2x + 11 and are asked to find the inverse of it.
To find the inverse, we will follow the according steps :
Replacing x with ySolving for yLet's do as followed:
Replacing x with y :
Since f(x) can be also written as y, we can do y = -1/2x + 11, thus making the switch alot easier.
y = -1/2x + 11
x = -1/2y + 11
Solve for y :
We have to get y alone to find the inverse, to do so, get rid of the outlier by subtracting 11 from both sides :
x - 11 = -1/2y
Now divide both sides by -1/2 to get y alone and retrieve our inverse :
-2(x - 11)
Distribute to get the inverse :
-2x + 22
If $ 10000 is deposited at an "interest rate" of 4% per year, annually compounded, what amount will depositors get after 5 years?
Answer:
PTR upon hundreds .by putting these formulas you can solve ti and is 2000
A tank is filled at a constant rate. 10 minutes after filling is started, the tank contains 4.8L of water. After 35 minutes the tank contains 7.3L of water.
a. Find the rate at which the tank is being filled?
b. Find the initial volume of fluid in the tank and express it as a function in terms of V and t.
c. Find how long it takes to filled, if the tank has a maximum capacity of 60L?
Answer:
Part A)
0.1 liters per minute.
Part B)
There was initially 3.8 liters of water.
[tex]\displaystyle V(t) = 0.1(t - 10) + 4.8[/tex]
Part C)
562 minutes.
Step-by-step explanation:
A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.
Part A)
We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.
To find the rate at which the tank is being filled, find the slope between the two points:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1[/tex]
In other words, the rate at which the tank is being filled is 0.1 liters per minute.
Part B)
To find the function of the volume of the tank, we can use the point-slope form to first find its equation:
[tex]\displaystyle y - y_1 = m( x - x_1)[/tex]
Where m is the slope/rate of change and (x₁, y₁) is a point.
We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:
[tex]\displaystyle y - (4.8) = 0.1(x - 10)[/tex]
Simplify:
[tex]\displaystyle y = 0.1(x-10) + 4.8[/tex]
Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:
[tex]\displaystyle V(t) = 0.1(t - 10) + 4.8[/tex]
The initial volume is when t = 0. Evaluate:
[tex]\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8[/tex]
There was initially 3.8 liters of water.
Part C)
To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:
[tex]60 = 0.1(t - 10) + 4.8[/tex]
Subtract:
[tex]55.2 = 0.1(t - 10)[/tex]
Divide:
[tex]552 = t - 10[/tex]
Add. Therefore:
[tex]t = 562\text{ minutes}[/tex]
It will take 562 minutes for the tank to be completely filled.
find the squre of 17
[tex] \sqrt{17} [/tex]
7. 20x + 10 = 110
a. X= 1
b. X= 5
c. x= 12
Answer:
b x=5
Step-by-step explanation:
20x+10=110
20x+10-10=110-10
20x/20=100/20
x=5
Answer:
x=5
Step-by-step explanation:
20x + 10 = 110
Subtract 10 from each side
20x +10-10 = 110-10
20x = 100
divide by 20
20x/20 =100/20
x= 5
What is the midpoint between A(-6,1) and B(0,2)?
Answer:
(-3, 3/2)
Step-by-step explanation:
To find the midpoint between two points you are going to add the X1 and X2, then divide by two. Then you are going to add the Y1 and Y2, and divide by two.
A(-6,1) B(0,2)
= (-6+0, 1+2)
= (-6, 3)
=(-6/2, 3/2)
=(-3, 3/2)
What is the product?
(-2a² + s) (5a^2 - 6s)
Answer:
10a²+17a²s-6s²
Step-by-step explanation:
(-2a²+s)(5a²-6s)
= -10a²+12a²s+5a²s-6s²
= -10a²+17a²s-6s²
Answer:
b
Step-by-step explanation:
A clothing store is having a sale on shirts and jeans. Four shirts and two pairs of jeans cost $78. Three shirts and five pairs of jeans cost $111. The system of equations
4s + 2j = 78
3s + 5j = 111
models this situation, where s is the cost of a shirt and j is the cost of a pair of jeans. How much does one shirt and one pair of jeans cost?
Answer:
One shirt is $12 and one pair of jeans is $15
Step-by-step explanation:
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -4:
12s + 6j = 234
-12s - 20j = -444
Add these together, and solve for j:
-14j = -210
j = 15
So, a pair of jeans is $15. Plug in 15 as j into one of the equations and solve for s:
3s + 5j = 111
3s + 5(15) = 111
3s + 75 = 111
3s = 36
s = 12
One shirt is $12 and one pair of jeans is $15.
how many solutions?
y−2=x
−x=2−y
Answer:
infinite
Step-by-step explanation:
the first equation (y-2=x) becomes y=x+2 when you add 2 to both sides
the second equation (-x=2-y) also becomes y=x+2 when you add y and x to both sides
-x = 2-yy-x=2y=x+2since both equations are the same the number of solutions is infinite
Intro to Translations
Acellus
Find the image of the given point
under the given translation.
P(-1,2)
T(x, y) = (x + 2, y - 4)
P' = ([?], [])
Enter the number that belongs
in the green box.
Answer:
(1,-2)
Step-by-step explanation:
P(-1,2) and (x, y) -> (x + 2, y - 4). Plugging in x and y in the transformation, the transformed points are (-1+2, 2-4) = (1,-2)
Domain and range of g(x)= 5x-3/2x+1
Solve for domain and range?
The height of a triangle is 5 yards greater than the base. The area of the triangle is 273 square yards. Find the length of the base and the height of the triangle.
Answer:
Base = 21 while Height = 16