Answer:
Step-by-step explanation:
Hello, when you try to find the intersection point(s) you need to solve a system like this one
[tex]\begin{cases} y&= m * x + p }\\ y &= a*x^2 +b*x+c }\end{cases}[/tex]
So, you come up with a polynomial equation like.
[tex]ax^2+bx+c=mx+p\\\\ax^2+(b-m)x+c-p=0[/tex]
And then, we can estimate the discriminant.
[tex]\Delta=(b-m)^2-4*a*(c-p)[/tex]
If [tex]\Delta<0[/tex] there is no real solution, no intersection point.
If [tex]\Delta=0[/tex] there is one intersection point.
If [tex]\Delta>0[/tex] there are two real solutions, so two intersection points.
Hope this helps.
Find the midpoint of the segment with the given endpoints.
(3,- 9) and (4, -8)
[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{3+4}{2},\dfrac{-9+8}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{7}{2},\dfrac{-1}{2}\right)[/tex]
which of the following best describes the effect of replacing the graph of y = f(x) with the graph of y= f(x) - 9? a. the graph of y = f(x) will shift up 9 units b. the graph of y = f(x) will shift down 9 units c. the graph of y = f(x) will shift left 9 units d. the graph of y = f(x) will shift right 9 units
Answer:
B
Step-by-step explanation:
If you were to have an equation y = x.
Then, x - 9 shifts it down 9.
If you were to have an equation y = 2x.
Then, 2x - 9 shifts it down 9.
Using this pattern, we deduce that f(x) - 9, shifts the graph down 9 units.
So, our answer is B>
if 3x=y-5 and x=-4 then y =
Answer:
-7 = y
Step-by-step explanation:
3x=y-5
Let x = -4
3(-4) = y-5
-12 = y-5
Add 5 to each side
-12 +5 = y-5+5
-7 = y
What is the value of the expression below when y = 5? Show your work and write your answer in a complete sentence.
Y exponent 2-3y+6
Answer:
y=1
Step-by-step explanation:
5=2-3y+6
3y=2-5+6
3y= -3+6
3y= 3
3y÷3=3÷3
y=1
Answer:
16
Step-by-step explanation:
Substitute y = 5 into the expression
y² - 3y + 6
= 5² - 3(5) + 6
= 25 - 15 + 6
= 16
name four points that are not coplanar
Answer: U, W, Z and Y
Step-by-step explanation:
4 points are not coplanar if there does not exist any plane that contains the 4 points.
So, a plane is formed by a line and one point outside of it.
Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.
For example:
If first we select Point U and Point W, we will have a line, as shown in the image.
Now we can select the Point Z, that is outside the line, and now we have the plane M that you can see in the image.
Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.
So, here we have that:
Points U, W, Z and Y are not coplanar.
Can anyone please help?
Answer:
i don't know
( lol )
heheeeee
88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour? (Hintdivide both sides of the equation
by the same amount.)
Round to the nearest thousandth.
One mile per hour is equivalent to
ao feet/second.
Answer:
1 miles/hour = 1.467·feet/second
Step-by-step explanation:
The given measurement unit are;
88 feet/second = 60 miles/hour
The number of feet per second that is equal to one mile per hour is found as follows;
88 feet/second = 60 miles/hour
To have a unit measure of one mile per hour , we divide both sides of the equation by 60 to get
(88 feet/second)/60 = (60 miles/hour)/60
Which gives;
(88/60 feet/second) = (60/60 miles/hour) = 1 miles/hour
22/15 × feet/second = 1 miles/hour
1.46667·feet/second = 1 miles/hour
Rounding to the nearest thousandth gives;
1.467·feet/second = 1 miles/hour
The number of feet per second that is in 1 mile per hour is 1.467·feet/second.
p
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q
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RM
'Ns
In the diagram, O is the centre of the circle. If PQII
RS and LONS = 140°, find the size of ZPOM.
ono
Answer:
where is the diagram
solve for x.
a. 2
b. 5
c. 0
d. 7
Answer:
x=0
Step-by-step explanation:
Tangent Chord Angle = 1/2 Intercepted Arc
A circle is 360 degrees
The missing arc is
360 - (2x+260)
360 -2x-260
100 -2x
Using the formula
50 = 1/2(100-2x)
50 = 50 -x
Subtract 50 from each side
0 = -x
x=0
if it takes a half of a cup of oil to make 20 cookies how much oil is needed to make 5 cookies?? please help.
Answer:
We need 1/8 cup
Step-by-step explanation:
We can use ratios to solve
1/2 cup x cups
------------ = -----------------
20 cookies 5 cookies
Using cross products
5 * 1/2 = 20x
Divide each side by 20
5/2 * 1/20 = 20x/20
5/40 =x
1/8 =x
We need 1/8 cup
Answer:
Step-by-step explanation:
step 1: you know that 1/2 c of oil makes 20 cookies.
step 2: if you only have 1/4 c (half of 1/2 cup), then you can make 10 cookies.
Step 3: 1/8 c would make 5 cookies.
if the circumference of two circle are in the ratio 2:3, then their areas are in the ratio of
Answer:
4:9
Step-by-step explanation:
To take the scale factor from distance to area, we square it
2:3 distance
Square each term
2^2 : 3^2 area
4:9
Find the mean.
20, 5, 45, 90, 60, 45, 30, 10, 20, 45, 15,25
Answer:
34.166
Step-by-step explanation:
Mean=(Sum of all the numbers)/12=410/12=34.166
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}[/tex]
[tex]\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}[/tex]
[tex]\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}[/tex]
[tex]\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 305 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 325 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 370 + 15 + 25}[/tex]
[tex]\mathsf{= 385 + 25}[/tex]
[tex]\mathsf{= \bf 410}[/tex]
[tex]\mathsf{= \dfrac{410}{12}}[/tex]
[tex]\mathsf{\dfrac{410}{12} \approx \bf 34.1667}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please answer thanks!
Answer:
see explanation
Step-by-step explanation:
tan x = -1
[tex]x = tan^{-1}(-1)[/tex]
x = -45
tan x = 5
[tex]x = tan^{-1}(5)[/tex]
x = 78.69
Answer:
See below.
Step-by-step explanation:
So we want to find the solutions to the two equations:
[tex]\tan(x)=-1 \text{ and } \tan(x)=5[/tex]
I)
[tex]\tan(x)=-1\\x=\tan^{-1}(-1)[/tex]
Recall the unit circle. First, note that the number inside tangent is negative. Because of this, we can be certain that the x (in radians) must be in Quadrant II and/or IV (This is because of All Students Take Calculus, where All is positive in QI, only Sine is positive in Q2, only Tangent is positive in Q3, and only Cosine is positive in QIV. Tangent is negative so the only possible choice are QII and QIV).
From the unit circle, we can see that x=3π/4 is a possible candidate since tan(3π/4)=-1.
Since tangent repeats every π, 7π/4 must also be an answer (because 3π/4 + π = 7π/4). And, as expected, 7π/4 is indeed in QIV.
Therefore, for the first equation, the solutions are:
[tex]x=3\pi/4 \text{ and } 7\pi/4[/tex]
II)
For the second equation, there is no exact value for which tangent of an angle would be equal to 5. Thus, we need to approximate.
So:
[tex]\tan(x)=5\\x=\tan^{-1}(5)\\x=\tan^{-1}(5) \text{ and } \tan^{-1}(5)+\pi[/tex]
We got the second answer because, like previously, tangent repeats every π, so we only need to add π to get the second answer.
In approximations, this is:
[tex]x\approx1.3734 \text{ and } x\approx4.5150[/tex]
Note: All the answers are in radians.
Find the values of the missing sides. You must use exact answers! PLEASE HURRY AND HELP
Answer:
x=4sqrt3 a=4 b=3 ,y=8sqrt3 c=8 d=3
Step-by-step explanation:
because this is a 30-60-90 triangle, it is easy to find the side lengths. the longer leg is sqrt(3) times the shorter leg so x= 12/sqrt(3) or 4sqrt(3). the hypotenuse is 2 times the shorter leg so y= 8sqrt(3)
find the number whose 13% is 65.
Answer:
500
Step-by-step explanation:
A = the unknown number that we need to find
A x 13/100 = 65
=> A x 13 = 6500
=> A = 6500 / 13
=> A = 500
13% of 500 is 65.
Let's check whether the answer is correct or not.
=> 500 x 13/100
=> 5 x 13
=> 65.
So, the number whose 13% is 65 is 500
Answer:
Step-by-step explanation:
Let the number be x,
Then,
13% of x =65
Or, 13/100 of x =65
Or,x=6500/13
:.x=500
Marcus is shopping for pants. The available styles are boot cut (B), skinny (S), and relaxed fit (R). Make an organized list to show all possible outcomes if he buys two new pairs of pants.
Answer:
list in the explanation
Step-by-step explanation:
BOOT x2
SKINNY x2
RELAXED x2
BOOT, SKINNY
BOOT, RELAXED
SKINNY, BOOT
SKINNY, RELAXED
RELAXED, BOOT
RELAXED, SKINNY
The solution set is given by Set A = { BB , SS , RR , BS , BR , SR } , where B , S and R are boot cut (B), skinny (S), and relaxed fit (R) respectively
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the set be represented as A
Now , the equation will be
Marcus is shopping for pants and the available pants are boot cut (B), skinny (S), and relaxed fit (R)
He wants to buy 2 pair of pants , and the possible ways of 2 pants are
Set A = { BB , SS , RR , BS , BR , SR }
So , the total number of elements in set A = 6 pairs
Therefore , the value of A is 6 pairs
Hence , the set A is { BB , SS , RR , BS , BR , SR }
To learn more about sets click :
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What is the measure of DG?
Enter your answer in the box.
Answer:
Step-by-step explanation:
∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°
Answer:
it's actually 110, i took the test and got 170 wrong
Step-by-step explanation:
Gisele has $5.90 in quarters and nickels. If Gisele has 16 more nickels than quarters, how many quarters does she have? [I don't want the answer I just want to know how to set the problem up please]
Answer: There are 17 quarters.
Step-by-step explanation:
Let x = Number of quarters and Number of nickels =x+16
∵ 1 nickel = $0.05, 1 quarter = $0.25
value of x quarters = 0.25 x
value of x+16 nickels = 0.05(x+16)
Then, as per given,
[tex]0.05(x+16)+0.25 x= 5.90 \\\\\Rightarrow\ 0.05x+0.8+0.25x=5.90\\\\\Rightarrow\ 0.30x=5.9-0.8\\\\\Rightarrow\ 0.30x=5.1\\\\\Rightarrow\ x=\dfrac{5.1}{0.30}=\dfrac{51}{3}\\\\\Rightarrow\ x=17[/tex]
Hence, there are 17 quarters.
Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the estimate using front-end estimation?
Answer:
–21.87 ÷ 4.79
≈ -20 ÷ 5
≈ -4
Step-by-step explanation:
front end estimation means to round off to the most left digit.
eg 12 ≈ 10
3/v=2/4? i need help plz
Answer:
v = 6
Step-by-step explanation:
3/v = 2/4
We can use cross products to solve
2v = 3*4
2v = 12
Divide each side by 2
2v/2 = 12/2
v =6
Answer:
v=6
Step-by-step explanation:
If this is making them equal, then you should know that 2/4 is 1/2 , so you could just multiply 3 by both the 1 and the 2 in 1/2 and 1 times 3 is 3 which is what we have and 2 times 3 is 6 which is v.
A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.
Answer:
sorry
Step-by-step explanation:
polynomial is not given
question is incomplete
draw a graph of 2x - 3y = 6
Answer:
Slope:[tex]\frac{2}{3}[/tex]
y-intercept:-2
Step-by-step explanation:
Please tell me whats the number?
Answer:
5/6
Step-by-step explanation:
15/18
Divide the top and bottom by 3
15/3 = 5
18/3 = 6
5/6
I have simplified:)
To simplify, you have to divide the numerator & denominator by 3
BTW,I am also an Acellus student!:)
If x-a is a factor of polynomial x3-mn2-2nax+na2 prove that a=m+n and a is not = 0
Step-by-step explanation:
hope this helps
pls mark me brainliest
Question 6 of 10 The triangles shown below may not be congruent. 1) 25° 55° 100° 100° 66° 25° O A. True O B. False
Answer:
True, they may not be congruent
Step-by-step explanation:
A figure cannot be determined as congruent from three angles alone. In order for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.
The triangles shown below may not be congruent is True statement.
What is Congruency?Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.
In both Triangle we can see that
2 Angles measures 25.
2 Angles measures 100.
and, 2 angles measures 55.
As, we know there no Congruence rule for AAA.
Thus, both triangles are not Congruent.
Learn more about Congruency here:
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pls help :: geometry summer assignment
Answer:
140
Step-by-step explanation:
Left column = x
Right column = y
Rule = 3.5x = y
Because 42/12 = 3.5
3.5 * 40 = 120 + 20 = 140
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Question 6(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x) + 20?
The graph of y = f(x) will shift left 20 units.
The graph of y = f(x) will shift down 20 units.
The graph of y = f(x) will shift up 20 units.
The graph of y = f(x) will shift right 20 units.
Answer:
the graph will shift 20 units up
A culture of bacterial triples in size every four hours. If the bacteria population is estimated to be three million now, what will it be one day from now?
A. 4,238,000,000
B. 6,561,000,000
C. 243,000,000
D. 2,187,000,000
Answer:
1 day = 24 hours
we cam divide in 6 periods of 4 hours
if bacteria triples in size every four hours
3 millions at begining
3^7 = 2'187'000'000 bacteria
Espero que te sirva
Answer: Geometric progression
Step-by-step explanation:
0h -> 3x10^6 /4h-> 9x10^6 / 8h-27x10^6 / 12h->81x10^6 / 16h->243x10^6 / 20h-> 729x10^6 / 24h->2187x10^6 = 2.187.000.000.:
Chad and his family went to the beach. First, they swam in the ocean for 1 hour and 15 minutes. Then they built sand castles for 45 minutes and played volleyball for 1 hour and 30 minutes. When they finished playing volleyball, it was 3:30 P.M. What time did Chad's family get to the beach?
Answer:
12:00
Step-by-step explanation:
so if you add up all the time they were there like this 1 hour + 15 +45+1 hour +30 you will get 3 hours and 30 minutes so then you subtract the the time from the time like this 3:30 so they went at 12:00
Easton is going to invest $340 and leave it in an account for 8 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Easton to end up with $420?
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:
[tex]340(x)^{32}=420[/tex]
We can divide 340 from both sides, and simplify the right side to 21 divided by 17:
[tex]x^{32}=\frac{21}{17}[/tex]
Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.