Let's say instead of x2-x1, we say, "The difference between x2 and x1", let's call this value A. We'll do the same for the y variables and call that difference B, for simplicity.
For (2,3) and (4,9), we're really dealing with those differences, so A should equal 2, and B should equal 6. So far so good. But this is pretty much the "rise and run" of a triangle. 2 to the right, then 6 up. But if you walk 2 miles east, then 6 north, while you, personally, have travelled 8 miles, the distance between your starting point and where you are is NOT the way you walked.
So in the case of the triangle, using 2 as the run and 6 as the rise, to get the straight line between the starting point and the ending point, we have to do Pythagorean's Theorem, or A2 + B2 = C2 to get that last direct line between the two points. Cancelling the root and exponents removes the process to get that exact distance squared. We then take the square root of that to get the exact distance.
Evaluate the expression when a=4 and x=-6.
a-8x
Answer:
52
Step-by-step explanation:
a-8x =4-8×-6
=4-(-48)= 4+48=52
What is the scale factor of the enlargement of shape A to shape B?
Answer:
scale factor = 6
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, shape B to shape A
base of shape A = 1 , base of shape B = 6 , then
scale factor = [tex]\frac{6}{1}[/tex] = 6
After finding the ratio of their corresponding sides of triangles the scale factor we get is 6.
The difference in scale between an original item's scale and a new object that is its representation but is larger or smaller is known as a scale factor.
From figure
For small triangle:
base = 1 units
For large triangle:
base = 6 units
Now the scale factor = ratio of adjacent sides
Scale factor = (Base of large triangle)/(Base of small triangle)
Scale factor = 6/1
Scale factor = 6
Hence,
The scale factor is 6.
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PLEASE HELP ME WITH THIS!! ILL GIVE BRAINLIEST
Answer:
C. (x , y) ----> (y , - x)
hope this helps :)
a student has 200naira,if someone gives her 160naira, how much wi.ll she have? if someone gives her xnaira how much does wil
Answer:
360 naira hope its help
Step-by-step explanation:
brainliest me
pls help I know its ez for you but it's not for me
Answer:
61,45627,13541,52617,04532,14478,104________________________________________________________
How to solveMultiply all numbers by the multiplier, the smaller number, and then use any extra digits you carry, bringing you to the ten thousands place.
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Questions or extra enrichment on this subject?Ask me in the comments box, I can help.
i know how to solve it but i’m just not used to the bigger numbers. could someone still walk me through step by step?
[tex]\cfrac{42}{70}~~ = ~~\cfrac{u}{55}\implies \cfrac{(14)3}{(14)5}~~ = ~~\cfrac{u}{55}\implies \cfrac{3}{5}=\cfrac{u}{55}\implies \cfrac{3(55)}{5}=u \\\\\\ 3\cdot \cfrac{55}{5}=u \implies 3\cdot 11=u\implies 33=u[/tex]
Which of the following is true the
longer the term of the loan and the
longer it takes to pay it back?
A. The less you will pay in interest costs.
B. The more you will pay in interest costs.
C. The less it changes the amount you pay.
D. The quicker you will pay back the money you owe.
Answer:
the more you will pay in interest cost
What is the value of the expression shown below?
7 + (2 + 6) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Which two expressions are equivalent to 4(7x + 2 + x)?
Answer:
9
Step-by-step explanation:
i dont know 100% but i think is 9
Find the exact value.
sin 9
4
Type + or -
Step-by-step explanation:
[tex] \sin( \frac{9\pi}{4} ) [/tex]
[tex]0.1230573409[/tex]
If Alex did 3/6 and then 1/4 of his homework, how much more does he need in order to finish ALL of his homework?
∞You start at (10, 5). You move left 5 units. Where do you end?
We have the following point:-
[tex]\sf{(10,5)}[/tex]
where 10 is the x-coordinate & 5 is the y-coordinate.
If we move 5 units to the left, then we subtract 5 from the x-coordinate:-
[tex]\sf{(10-5,5)}[/tex]
Hence, the point is:-
[tex]\bigstar{\boxed{\pmb{5,5}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
PLEASE HELP PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Jenna's line would be: C Line L
Step-by-step explanation:
The x coordinates and y coordinates from Jenna's table matches up with the points on Line L. Hope this helped! :)
Pls figure out the question
Answer:
w=2
Step-by-step explanation:
Step-by-step explanation:
first simplified by dividing both sides by -5.
then, at
w - 5 = -3
add 5 to both sides.
and we get
w = 2
Blank × 100 =23 find the missing number
Answer:
blank = 0.23
Step-by-step explanation:
to do this you can divide both sides by 100
23/100 is 0.23
blank = 0.23
Answer:
0.23 or 23/100
Step-by-step explanation:
1) Start by setting up an equation
We'll say that x represents the blank.
100x = 23
2) Solve
100x = 23
Divide both sides by 100
x = 0.23 or 23/100
Write the expression “3 times the quantity n plus 6" as an algebraic expression.
Answer:
3n+6
Step-by-step explanation:
"3 times the quantity n" = 3 * n = 3n
3n+6
A company’s stock increases from $18.30 to $54.90 over a 3-year period. What is the percent increase?
Answer:
the answer is 66.67%
Step-by-step explanation:
54.90-18.30=36.60
36.60÷54.90×100=66.666666666... or 66.67%
5 divided by 2 1/7
Simplest form
Answer: 2 1/3
Step-by-step explanation:
We first convert this to mixed number: 5/1 / 15/7
Then cross cancel and factor to get 7/3.
Lastly we convert this back to a mixed number.
So we get 2 1/3 or 0.667 (decimal)
PLEASE HELP I AM TRYING TO STUDY FOR A CALCULUS EXAM!! WORTH A TOTAL OF 100 POINTS!!!!!!!!!
Find the mass of a sphere of radius 7 if δ= kρ, k a constant.
Presumably, both δ and ρ represent density of some object. Considering the context, ρ is likely a function of 3 variables, ρ = ρ(x, y, z). Then the mass of the sphere with the prescribed density δ(x, y, z) = k ρ(x, y, z) is
[tex]\displaystyle \iiint_B k \rho(x,y,z) \, dx\, dy\, dz[/tex]
where B is the set
[tex]B = \left\{(x,y,z) ~ : ~ x^2+y^2+z^2 \le 7^2\right\}[/tex]
If you have all the details at hand, you can compute the integral by converting to spherical coordinates, substituting
[tex]\begin{cases}x = u \cos(v) \sin(w) \\ y = u \sin(v) \sin(w) \\ z = u \cos(w)\end{cases} \text{ and } dx\,dy\,dz = u^2 \sin(w) \, du \, dv \, dw[/tex]
The integral then transforms to
[tex]\displaystyle k \int_0^{2\pi} \int_0^\pi \int_0^7 \rho(u\cos(v)\sin(w),u\sin(v)\sin(w),u\cos(w)) \, u^2 \sin(w) \, du \, dw \, dv[/tex]
Without any additional information, there's not much more to say...
I need help please i
Answer:
2 7/24
Step-by-step explanation:
First we have to add the gallons of two cow of each owner:
Hank's cows: 4 3/4 + 4 1/8
Add the whole numbers:
4 + 4 = 8
Now for 3/4 and 1/8
Find common
6/8 + 1/8
= 7/8
Put together :
8 7/8
Debra's cows: 5 1/2 + 5 2/3
Add the whole number
5 + 5 = 10
Now for 1/2 and 2/3
3/6 + 4/6
1 1/6
10 + 1 1/6
= 11 1/6
Since now we know that:
Hank - 8 7/8
Debra - 11 1/6
we can solve the question:
How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?
Solution:
11 1/6 - 8 7/8
Subtract whole number
11 - 8 = 3
Now for 1/6 and 7/8
4/24 - 21/24
4-21/24
-17/24
2 7/24
~lenvy~
Answer:
2 7/24
Step-by-step explanation:
Hank Cows:
4 3/4 and 4 1/8
Debra Cows:
5 1/2 and 5 2/3
To find the difference between Hank cows and Debra cows..
we first have to add both cows together:
4 3/4 + 4 1/8 = 8 7/8 {Hank}
5 1/2 + 5 2/3 = 11 1/6 {Debra}
Since now we know Hank and Debra total gallons of milk we can solve and find out the difference.
11 1/6 - 8 7/8 = 2 7/24
Hence, Debra have 2 7/24 more gallons of milk than Hank.
[RevyBreeze]
Carlos took 1/4 hours to clean the kitchen. Then he took 5 3/8 hours to clean the den. How much time did Carlos take to clean the two rooms?
Answer:
5 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} = \frac{2}{8}[/tex]
[tex]\frac{2}{8} + 5\frac{3}{8}[/tex]
Your solution is:
5 [tex]\frac{5}{8}[/tex]
how many right angles in trapezoids
Answer:
Almost all trapezoids have two right angles, beacuse they are quadrilaterals, meaning they will have at least one or more right angles.
__________________________________________________________
Questions?Ask me in the comments box.
Please view image below, it supports the answer. The tiny squares in blue circles are highlighted right angles.
Find the absolute value of x: (x+8)=-2
Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10
How to find the absolute value of a function?The absolute value is the positive value of any given value.
Given the equation
x + 8 = -2
Determine the value of x
x = -2 - 8
x = -10
Since x is -10, hence the absolute value of x is 10
Learn more on absolute value here: https://brainly.com/question/24368848
Keiko sold 3 less than three-fourths of his sister’s sales. Which expression represents what Keiko sold?
The rate of decay in the mass, M, of a radioactive substance is given by the differential equation dM dt equals negative 1 times k times M , where k is a positive constant. If the initial mass was 150g, then find the expression for the mass, M, at any time t
Using separation of variables, it is found that the expression for the mass, M, at any time t, is given by:
[tex]M(t) = 150e^{-kt}[/tex]
What is separation of variables?In separation of variables, supposing a differential equation in the format [tex]\frac{dy}{dx}[/tex], we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
In this problem, the differential equation is:
[tex]\frac{dM}{dt} = -kM[/tex]
Then, applying separation of variables:
[tex]\frac{dM}{M} = -k dt[/tex]
[tex]\int \frac{dM}{M} = \int -k dt[/tex]
[tex]\ln{M} = -kt + C[/tex]
[tex]M(t) = M(0)e^{-kt}[/tex]
The initial mass is of M(0) = 150, hence:
[tex]M(t) = 150e^{-kt}[/tex]
More can be learned about separation of variables at https://brainly.com/question/14318343
Which answer is the explicit rule for the sequence 11, 8.5, 6, 3.5, 1
I think it's an= 13.5 - 2.5n
[tex]a_n=13.5-2.5n[/tex]
Step-by-step explanation:[tex]11,\ 8.5,\ 6,\ 3.5,\ 1...[/tex]
[tex]So\ d=8.5-11=b-8.5=3.5-6=1-3.5[/tex]
[tex]=-2.5[/tex]
[tex]And\ a_1=\parallel \left\{Anithmetic\ \left.\ sequence\right\}\right.[/tex]
[tex]so\ a_n=a_1+d(n-1)[/tex]
[tex]=11-2.5(n-1)[/tex]
[tex]=13.5-2.5n[/tex]
[tex]The\ answer:a_n=13.5-2.5n[/tex]
I hope this helps you
:)
You spin a spinner numbered from 1 to 6 and spin another spinner with the colors violet and yellow. Both spinners are divided into sections with the same area. How many possible outcomes are in the sample space?
What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2
Linear equations are usually organized in slope-intercept form, which looks like this:
[tex]y=mx+b[/tex]
m is the slope of the lineb is the y-intercept (the value of y when the line passes through the y-axis)To find the equation of a line in slope-intercept form:
Determine the slope of the linePlug the slope into the general formDetermine the y-intercept by solving for b Plug b back into the equationSolving the QuestionWe're given:
m = [tex]\dfrac{1}{2}[/tex](4,1) falls on the lineFirst, plug the given slope into the slope-intercept form equation:
[tex]y=mx+b\\\\y=\dfrac{1}{2}x+b[/tex]
Now, determine the y-intercept.
[tex]y=\dfrac{1}{2}x+b[/tex]
⇒ Plug in the given point (4,1) and solve for b:
[tex]1=\dfrac{1}{2}(4)+b\\1=2+b\\b=-1[/tex]
⇒ Therefore, the y-intercept is -1. Plug this back into our original equation:
[tex]y=\dfrac{1}{2}x-1[/tex]
Answer[tex]y=\dfrac{1}{2}x-1[/tex]
What isbthe next number 324,256,196,144
What is the probability of getting a number greater than 2 on two rolls of a six-sided die both
times?
a. 2/6
b.4/6
c.4/3
d.3/6
e.4/9
Answer:
[tex]Probability = \frac{4}{9} [/tex]
Given:
The die was rolled twice having six sides,
To find:
probability of getting a number greater than 2 =?
solution:
The probability of getting a number greater than 2 on single roll =
[tex] \frac{4}{6} = \frac{2}{3} [/tex]
Similarly on second roll the probability would be
[tex] \frac{2}{3} [/tex]
Since two events are occurring together, the total probability of finding number greater than 2 in both rolls =
[tex] \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} [/tex]
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please help asap and please leave a real answer thank you
Answer:
[tex] \frac{0.75x - 3}{x - 1} [/tex]
Step-by-step explanation:
Equation of a rational function is
[tex] \frac{p(x}{q(x)} [/tex]
where q(x) isn't zero.
There is a vertical asymptote at
[tex]x = 1[/tex]
So this mean that our denomiator must have a zero that occur at x=1.
That zero is
[tex]x - 1[/tex]
So our denomiator is
[tex] \frac{p(x)}{x - 1} [/tex]
Since our horinzontal asymptote is a non zero value, the numerator must be a linear equation as well.
So our rational function is
[tex] \frac{ax + b}{x - 1} [/tex]
We know the graph pass through (0,3)
So if we apply that logic,
[tex] \frac{a(0) + b}{0 - 1} = 3[/tex]
[tex] \frac{b}{ - 1} = 3[/tex]
[tex]b = - 3[/tex]
And it passes through (4,0)
[tex] \frac{a(4) + b}{3} = 0[/tex]
[tex]4a + b = 0[/tex]
[tex]4a + ( - 3) = 0[/tex]
[tex]4a = 3[/tex]
[tex]a = \frac{3}{4} [/tex]
So our rational equation is
[tex] \frac{0.75x - 3}{x - 1} [/tex]