Answer:
6
Step-by-step explanation:
A=5-x^2+2x
Rewriting
A = -x^2 +2x+5
This is a downward opening parabola so the maximum value is at the vertex
Factor out the negative sign out of the first two terms
A = -(x^2 -2x) +5
Complete the square
-2/2 = -1 -1^2 = 1
Add 1 inside the parentheses Remember the negative sign out front so -1(1) is really adding -1 so we need to add 1 outside of the parentheses
A = -(x^2-2x+1) +1 +5
A = -(x-1)^2 +6
This is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
The maximum occurs at x=h and the value is k
The maximum is 6
Please help me out with this one!
Answer:
87 in^2
Step-by-step explanation:
24 + 18 + 15 + 30
the 30 is 2(1/2 * 5 * 6)
simplify 6÷[5{6÷(5-2)}]
answer correctly i will give brainliest.
Answer:
hope this helppppp youuu
Enter an equation in point-slope form for the line.
Slope is 4 and (-2,-1) is on the line.
The equation of the line in point slope form is:
Answer:
[tex]y+1=4(x+2)[/tex]
Step-by-step explanation:
Hi there!
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the slope and the point
[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]
I hope this helps!
Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5
Answer:
a.-8x-12y
Step-by-step explanation:
i hope it will help u
The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
The equation of the line below which is given in the question
4x - 3y = 8
We have to determine which is perpendicular to the given equation of the line
First, we need to find the slope of the given equation.
4x - 3y = 8
- 3y = - 4x + 8
Divided by -3 into both sides of the above equation,
y = (- 4/-3)x + 8/(-3)
y = (4/3)x - 8/3
Comparing the above equation with the standard form of line y = mx + b
Here m is the slope of the line, in this case, m = 4/3.
As per option (C),
- 3y = 8 + 4x
Divided by -3 into both sides of the above equation,
y = - 4/3x - 8/3
Here the slope of this line is - 4/3
Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.
Hence, the correct answer would be option (C).
Learn about the perpendicular lines here :
https://brainly.com/question/18271653
#SPJ2
What is true about angle ∠APD?
Answer:
HEY MATE FIRST OF ALL THE QUESTION IS NOT COMPLETE. TRY MAKING IT MORE CLEAR NEXT TIME !
Step-by-step explanation:
IF THE QUESTION IS THIS IN THE BELOW THEN HERE IS THE ANSWER .
What is true about angle ∠APD?
It is to angle Angle A P C.
It is to angle Angle C P B.
SOLUTION :
Answer: It is supplementary to angle Angle A P C.
It is vertical to angle Angle C P B.
I hope this help :)
How to solve ? What is the answer?
Answer:
L = [tex]\sqrt{52^2 + 30^2}[/tex]
L = 60.033
Step-by-step explanation:
What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)
Answer:
D: (5, 0) and (4, 0)
Step-by-step explanation:
The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.
Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).
f(x) = x2 + 3x + 2 is shifted 2 units left. The result is g(x). What is g(x)?
Answer:
[tex]g(x) = x^2+7x+12[/tex]
Step-by-step explanation:
If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.
We have the function:
[tex]f(x)=x^2+3x+2[/tex]
And we want to shift it two units to the left.
Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:
[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]
Simplify. Expand:
[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]
Combine like terms. Hence:
[tex]g(x) = x^2+7x+12[/tex]
evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain
[tex]\frac{-1}{32}[/tex] is a required answer.
Answer:
Solution given:
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
take power common
[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]
Reduce the fraction
[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]
make the1 and 8 in terms power 3
[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]
take the common power
[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]
Reduce power
[tex](\frac{-1}{2})^{5}[/tex]
now
distribute power
[tex]\frac{-1^{5}}{2^{5}}[/tex]
[tex]\frac{-1}{32}[/tex]
What is the value of A when we rewrite (1/8)^x + (1/8)^x-2 as A x (1/8)^x
Answer:
-63
Step-by-step explanation:
Given the expression:
[tex](1/8)^x + (1/8)^{x-2}[/tex]
Using the law of indices, this can be written as:
[tex](\frac{1}{8})^x-(\frac{1}{8} )^x * (\frac{1}{8})^{-2}\\(\frac{1}{8})^x (1-(\frac{1}{8})^{-2})\\(\frac{1}{8})^x(1-8^2)\\(\frac{1}{8})^x(-63)\\-63(\frac{1}{8})^x\\[/tex]
This shows that the value of A is -63
Answer:
EVERYONE THE ANSWER IS …. 65
Step-by-step explanation:
I did the quiz I hate it :(
please I really need help with this
Answer:
24
Step-by-step explanation:
(1+25) - (16)(1/8)
26 - 2
24
Cheers
Answer:
24
Step-by-step explanation:
(1+5^2) -16 ( 1/2)^3
PEMDAS
Parentheses first
Exponents in the parentheses
(1+25) -16 ( 1/2)^3
Then add in the parentheses
(26) -16 ( 1/2)^3
Then exponents
(26) -16 ( 1/8)
Then multiply
26 - 2
Then subtract
24
What is the slope of the line shown below?
ОА. - 17
(5, 1)
X
O B. -4
-5
5
(-3,-1)
O c. 4
-5
O D.
1
4
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line
m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C
which of the followingis multiplicative of -a? (-1/a a 1 1/a)
Given:
The given value is [tex]-a[/tex].
To find:
The multiplicative inverse of [tex]-a[/tex].
Solution:
We know that [tex]y[/tex] is the multiplicative interval of [tex]x[/tex] if [tex]xy=1[/tex].
Let [tex]x[/tex] be the multiplicative inverse of the given value [tex]-a[/tex]. Then,
[tex](-a)\times x=1[/tex]
Divide both sides by [tex]-a[/tex].
[tex]x=\dfrac{1}{-a}[/tex]
[tex]x=-\dfrac{1}{a}[/tex]
Therefore, the multiplicative inverse of [tex]-a[/tex] is [tex]-\dfrac{1}{a}[/tex]. Hence the correct option is A.
Classify the following triangle. Check all that apply.
Which of the following are square roots of the number below? Check all that apply.
36
Answer:
mark me brainliest..
Step-by-step explanation:
plz open the below file and hope it helps!!
1.If a number is chosen at random from the integers 5 to 25 inclusive , find the probability that the number is a multiple of 5 or 3.
2.Good Limes =10
Good Apples = 8
Bad Limes = 6
Bad Apples 6
The information above shows the number of limes and apples of the same size in a bag . If two of the fruits are picked at random , one at a time without replacement .Find the probability that :
I. Both are good limes
II.Both are good fruits
III. One is a good apple and the other a bad lime
I'll do problem 1 to get you started.
set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}
there are 7 items in set A, so we can say n(A) = 7
set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}
Here we have n(B) = 5
set C = multiples of 3 and 5, between 5 and 25 = {15}
n(C) = 1 which we can rewrite as n(A and B) = 1.
-----------------------------------------
To summarize so far,
n(A) = 7n(B) = 5n(A and B) = 1From those three facts, then we can say,
n(A or B) = n(A) + n(B) - n(A and B)
n(A or B) = 7 + 5 - 1
n(A or B) = 11
There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.
Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}
This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}
So we have 11 values we want out of 21 overall, which leads to the probability 11/21
Final Answer: 11/21
Answer:
Solution given:
total outcomes between 5 to25 inclusive
n[T]=25-5+1=21
multiple of 5n[5]=5,10,15,20,25=5
multiple of 3n[3]=6,9,12,15,18,21,24=7
now
probability of getting multiple of 5p[5]=5/21
and
probability of getting multiple of 3 p[3]=7/21=1/3
again
the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7
the probability that the number is a multiple of 5 or 3 is 4/7.2:
.Good Limes n[GL] =10
Good Apples n[GA]= 8
Bad Limes n[BL] = 6
Bad Apples n[BA]= 6
total fruits n[T]=10+8+6+6=30
no of good apple n[G]=10+8=18
no of bad apple n[B]=6+6=12
again
I. Both are good limes
=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]
=10/30*9/29=3/29
II.Both are good fruits
=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]
=6/30*5/29=1/29
III. One is a good apple and the other a bad lime
=n[G]/n[T] *n[B]/(n[T]-1)
=18/30*12/29=36/145
Manuel bought a set of tracks for $35 and 8 individual train cars,
which were priced the same. If the total cost was $155, what was the
price for each train car?
Please help
Answer:
155÷8= 19,375
The unit price of each wagon can be obtained by dividing (155 by 8)
luck in your tasks.
What is the measure of n
Answer:
n = [tex]\sqrt{32}[/tex]
Step-by-step explanation:
The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion
[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )
n² = 32 ( take the square root of both sides )
n = [tex]\sqrt{32}[/tex]
What is the value of x that makes the given equation true?
2(x−8)=x+5x
a x=-4
b x=-16
c x=-2
d x=0
Answer:
x = -4
Step-by-step explanation:
2(x−8)=x+5x
Distribute
2x - 16 = x+5x
Combine like terms
2x-16 = 6x
Subtract 2x from each side
2x-16 = 6x-2x
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{2(x-8)=x+5x }[/tex] [tex]\sf{2x-16=6x }[/tex] [tex]\sf{2x-6x=16 }[/tex] [tex]\sf{-4x=16 }[/tex] [tex]\sf{ x=\dfrac{16}{-4} }[/tex] [tex]\sf{x=-4 }[/tex][tex]\sf{ }[/tex]
The circumference of a circle is 11 pi ft. find its diameter, in feet
Answer:
11 feet
Step-by-step explanation:
Use the circumference formula, C = [tex]\pi[/tex]d
Plug in 11[tex]\pi[/tex] as C, and solve for d:
C = [tex]\pi[/tex]d
11[tex]\pi[/tex] = [tex]\pi[/tex]d
11 = d
So, the diameter is 11 feet
An experiment consists of rolling a six sided die to select a number between between 1 and 6 and drawing a card at random from a set of 10 cards numbered 1,2,3,...10. Which event definition corresponds to exactly one outcome of the experiment?
Answer:
Man this is confusing
Step-by-step explanation:
These slopes are linear.
Find the slope.
Answer:
The slope is 1OAmalOHopeO
Answer:
1
Step-by-step explanation:
when x is 1 y is one
Which of the following points is not a solution of the inequality y ≥ |x| + 3?
(-3, 6)
(0, 4)
(-3, 0)
========================================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
y ≥ |x| + 3
6 ≥ |-3| + 3
6 ≥ 3 + 3
6 ≥ 6
Which is true. Since we're looking for a non-solution, we rule out choice A.
You should find choice B is a similar story to choice A, so we can rule this out as well.
-----------
Choice C is the answer because
y ≥ |x| + 3
0 ≥ |-3| + 3
0 ≥ 3 + 3
0 ≥ 6
which is false.
Check out the graph below and notice how point C is not in the shaded solution region, and it's not on the boundary either. This is a visual way to quickly find the answer.
The boundary line y = |x|+3 is solid because of the "or equal to". We shade above the boundary line due to the greater than sign.
HELP QUICK PLEASE!
Given: AC BD and AD BC
B
D
What postulate could prove DCA ACDB
O Side-Side-Side
O Side-Angle-Side
Angle-Side-Angle
Angle-Angle-Side
Answer:
Step-by-step explanation:
Side - side - side. In fact the two triangles have the side CD in common
aint the answer for this 10 just let me if im wrong
Answer:
Yup
Step-by-step explanation:
Please answer srep by step if can!!
The patio on the landscaping blueprint measures 2 inches wide and 5.5 inches long.If the actual patio is going to have a width of 20 feet, what would its length be?
Answer:
55 feet
Step-by-step explanation:
simple 5.5 x 10
Answer:
660 inches or 55 feet
Step-by-step explanation:
20 feet * 12 = 240 inches
2/5.5 = 240/×
2x = 240 * 5.5
2x= 1320
x=660 inches
660 inches ÷ 12 = 55 feet
Segment addition and midpoints.
======================================================
Explanation:
AC = 13 and BC = 8
Those two facts must mean AB = AC-BC = 13 - 8 = 5.
Similarly, CD = BD - BC = 12 - 8 = 4
So,
AD = AB + BC + CD
AD = 5 + 8 + 4
AD = 17
------------
Another way to approach this problem would be to say
AD = AC + BD - BC
AD = 13 + 12 - 8
AD = 17
This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.
Answer:
Segment AD is 17.
Step-by-step explanation:
We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.
To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).
To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)
Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)
The length of Segment AD is 17.
Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow
What is the measure of ABC?
Answer:
63
Step-by-step explanation:
Hi there!
In order to find the answer to this question we must know about:
The angles of intersecting chords theorem
The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.
Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )
Angle ABC intercepted arc is AC
Hence Angle ABC = 1/2 ( arc AC + arc ED)
Arc ED = 44 and arc AC = 82
Thus, angle ABC = 1/2(82 + 44)
82 + 44 = 126
126/2=63
Hence Angle ABC = 63
