Answer:
y = (x - 8)² - 47
Step-by-step explanation:
x² - 16x + 17 = 0
x² - 16x = -17
(-16) / 2 = -8
-8² = 64
x² - 16x + 64 = -17 + 64
(x - 8)² = 47
y = (x - 8)² - 47
somebody please help and give me the reasons i’ll mark u the brainliest
Reason 1: Given
We basically just restate the given information exactly word for word (symbol for symbol). It may seem redundant, but imagine this proof is something you give to your friend. So you want the proof to be independent and on its own.
=====================================
Reason 2: Addition Property of Equality
We're adding [tex]m \angle MON[/tex] to both sides of the first equation mentioned in statement 1.
=====================================
Reason 3: Substitution
The [tex]m\angle MON[/tex] on the right hand side is replaced with [tex]m\angle IKH[/tex]. This replacement is valid because of the second equation in statement 1.
=====================================
Reason 4: Angle Addition Postulate
This is the idea where we can glue two smaller angles to form a larger angle. Or we can go in reverse to break up a large angle into smaller pieces. This is similar to the segment addition postulate.
=====================================
Reason 5: Substitution
Statement 3 says that LOM+MON = JKI+IKH. Statement 4 says LOM+MON = LON. So this must mean LON = JKI+IKH. Then we use another substitution to say LON = HKJ
Which of the following best defines a line in geometry? A. A line that starts at 1 point and goes forever in one direction B. A line that starts and ends between 2 points C. A line goes forever in both directions Hurry please:(((
Answer:
Step-by-step explanation:
i would believe that it would so there is your answer
Please help asap I will give brainlet !
Answer:
B = -5x + 30
Step-by-step explanation:
y= mx+b
m = slope = rise/run = -5
b = y-int = 30
Answer:
B = -5x + 30
Step-by-step explanation:
y= mx+b
m = slope = rise/run = -5
b = y-int = 30
Write the expression in radical form
Find the midpoint of the segment with the given endpoints.
(-4,2) and (10,10)
The midpoint is_
Match the meaning of each of the following expressions.
1. x added to the sum of five and seven
x - (8 + 2)
2. the sum of eight and two, subtracted from x
8 - x
3. eight added to x
x + (5 + 7)
4. eight subtracted from x
x - 8
5. eight minus x
x + 8
6. five subtracted from n
n - 5
7. the sum of x and itself
x + x
8. the difference of eight and two, added to x
5 - n
9. the sum of n and five
x + (8 - 2)
10. five minus n
n + 5
Answer:
1. x+(5+7)
2.x+ (8-2)
3. (x+8)
4. x-8
5. 8-x
6. 5-n
7.x+x
8. x+ (8-2)
9. n+5
10. n-5
Step-by-step explanation:
the perimeter of a right angled triangle is 30cm and its area is 30cm square then find the side of triangle
Perimeter = a + b + c = 30
Area = 1/2 x a x b = 30
Multiples of 30: 2, 3, 5, 6, 10, 12, 15
For perimeter c = 30- (a+b)
C= sqrt( a^2 + b^2)
Using the possible combinations of the above:
5 and 12:
C = sqrt(5^2 + 12^2) = 13
5 + 12 + 13 = 30 for the perimeter
Area = 1/2 x 5 x 12 = 30
The sides are 5, 12 and 13 cm
Answer:
12 cm, 5 cm, 13 cm
Step-by-step explanation:
Sides of triangle:
a, b, cPerimeter:
P= a+b+c = 30Area:
1/2ab = 30 ⇒ ab = 60As per Pythagorean theorem, side c= √(a²+b²):
a+b+c = 30a+b+ √(a²+b²) = 30a+b - 30= - √(a²+b²)(a+b - 30)²= (- √(a²+b²))²a²+b²+900 + 2ab - 60a - 60b = a²+b²Considering ab = 60
900+120=60a+60b ⇒ a+b = 17Again using ab= 60 to find out sides:
ab=60a(17-a)= 6017a - a² -60 = 0a² -17 a +60= 0Solving the quadratic equation, its positive root is:
a= 12Then we get the rest:
b = 17 - 12= 5c= 30 -17 = 13A study of parents of kindergarteners included 349 parents who were chosen at
random. Of these parents, 47% said they sent their children to pre-kindergarten. School
records show that only 31% of parents of kindergarteners sent their children to pre-
kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic
Forty-seven percent is the parameter and 31% is the statistic
Forty-seven percent is the statistic and 31% is the parameter
Answer:
47% is the statistic and 31% is the parameter.
Step-by-step explanation:
A parameter is a quantity of a variable representing certain characteristic of a population.
A statistic is a quantity of a variable representing certain characteristic of a sample.
The sample of parents of kindergartners selected is, n = 345.
The School records show that only 31% of parents of kindergartners sent their children to pre-kindergarten.
That is the population proportion is, p = 0.31.
This is the parameter value.
Of the 349 parents, 47% said they sent their children to pre-kindergarten.
That is the sample proportion is, [tex]\hat p[/tex] = 0.47.
This is the statistic value.
Thus, the correct option is:
47% is the statistic and 31% is the parameter.
Simplify the following expressions.
1. 3( x - 5 ) + 2x - 3
2. 4a - 3 ( 4 - a )
3. -2 ( b - 6 ) + 2
4. 6 - 3 ( 3 + x )
Step-by-step explanation:
1. 3( x - 5 ) + 2x - 3
= 3x - 15 + 2x - 3
= 5x - 18
2. 4a - 3 ( 4 - a )
= 4a - 12 + a
= 5a - 12
3. -2 ( b - 6 ) + 2
= -2b + 12 + 2
= -2b + 14
= 14 - 2b
4. 6 - 3 ( 3 + x )
= 6 - 9 - 3x
= -3 - 3x
One of Euclid’s postulates has always seemed to be too complex, and Euclid himself thought it should be proved as a theorem--but it cannot be. Which postulate is this
Answer:
Postulate 5, The Parallel postulate: If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.
The parallel postulate is needed to derive the elements, but it seems too complex.
5/6 minus 1/9 I need help!! I would really appreciate
Answer:
0.72
Step-by-step explanation:
5/6 - 1/9 =
(5×9)-(1×6) over (6×9)
= 39/54
=39÷3 over 54÷3
=13/18
Decimal result: 0.72
I asked Google so if this is wrong or unhelpful I'm so sorry.
Which sentence contains an adverb?
3
A
Three brown-and-white birds chirped.
B
The gymnast's routine was perfectly executed.
C
A sluggish Tim stumbled to the bus stop.
D
Tim had trouble answering the difficult question.
THEIR AGES
If you add the square of Tom's age to the age of Mary the sum is 62; but if you
add the square of Mary's age to age of Tom, the result is 176. Can you say
what are the ages of Tom and Mary?
Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
PLZ HELP.ASPP.PLZ NEED HELP FAST
Given that M is the midpoint of VW, what is the length of line segment VM?
4x-1 3x + 3
Answer:
VM = 15
Step-by-step explanation:
Given that line segment VM = 4x - 1
line segment MW = 3x + 3,
since M is the midpoint of VW, therefore:
VM = MW
Thus,
[tex] 4x - 1 = 3x + 3 [/tex]
Find the value of x
[tex] 4x - 3x = 1 + 3 [/tex]
[tex] x = 4 [/tex]
VM = 4x - 1
Plug in the value of x
[tex] VM = 4(4) - 1 = 16 - 1 = 15 [/tex]
VM = 15
9. A pyramid has a square base with an area
of 144 ft.2 What is the perimeter of the base
of the pyramid?
48 ft
Step-by-step explanation:A = 144ft² = l²
144 = l²
l = √144
l = 12 ft
P = 4l
= 4×12ft
= 48 ft
Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita's error? She incorrectly determined the GCF. She subtracted the GCF from the second term in the expression instead of dividing. She divided the GCF into the first term in the expression instead of subtracting. She divided each piece of the expression by different factors.
Answer:
She subtracted the GCF from the second term in the expression instead of dividing.
Step-by-step explanation:
Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:
32ab = (2×2×2)×2×2×a×(b)
8b = (2×2×2×b)
From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b
Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;
= 32ab - 8b
= 8b(32ab/8b - 8b/8b)
= 8b(4a-1)
Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.
Answer:b
Step-by-step explanation:
The area of a rectangular countertop is 30 square feet. It is 10 feet long. How wide is it?
Answer:
w = 3 ft
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
30 = 10 *w
Divide each side by 10
30/10 = 10w/10
3 = w
An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events.
Event A: The sum is greater than 7.
Event B: The sum is divisible by 4 or 6 (or both).
Answer:
a. 5/12
b. 7/18
Step-by-step explanation:
In this question, we are interested in computing the probabilities.
Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.
This can be found in the attachment.
What is important to know however is that the total number of possible results is 36;
so let’s compute;
a. For a, let’s circle all sums which are greater than 7 ;
We can see a total of 16 circled sums;
So the probability is 15/36 = 5/12
b. Sum divisible by 4 or 6 or both
Let’s make a circle again ;
So we have a total of 14
So the probability will be 14/36 = 7/18
HELP PLEASE (image) Find the volume of this triangular prism.
the answer is 235 cubic meters
Answer:
V = 240 m^3
Step-by-step explanation:
The volume of a triangular prism is
V = Bh where B is the area of the base and h is the height
B = the area of the triangular base
B = 1/2 bh
B = 1/2 *5*12
B = 30 m^2
The volume is
V = 30 * 8
V = 240 m^3
the sum of squares of three consecutive numbers is 77 find the numbers
Answer:
4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.
Step-by-step explanation:
Let the three consecutive numbers be x, (x+1), (x+2)
Now, the squares of these three numbers are [tex]x^{2} ,(x+1)^{2} ,(x+2)^{2}[/tex]
Sum = 77
∴by the problem ,
[tex]x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\[/tex]
{Taking 3 common }
[tex]x^{2} +2x- 24 = 0\\[/tex]
{By factorization}
[tex]x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]
Therfore,
[tex]x= -6,4\\[/tex]
X can't be negetive
∴ [tex]x =4\\x+1=5\\x+2=6[/tex]
The squares of the three consecutive numbers are 16, 25, 36
The three consecutive numbers whose sum is 77 are 4, 5, 6
I went from my house to a playground, 300
metres away in 10 minutes. I ran back and
reached in 2 minutes. What was my average
speed?
Average Speed=Total Distance / Total Time
Converting meter into km
300/1000=0.3km
Average Speed=(0.3+0.3)/12
Average Speed=0.6/12
=0.05km/min
I hope this helps you.
Plz mark me as the Brainliest.
What is x? will give brainliest whoever answers first and correctly
Answer:
[tex]x = -8[/tex]
Step-by-step explanation:
We can solve for x by isolating it on one side of the equation.
If we're given the equation [tex]3x + 5 - x = x-3[/tex], we can simplify it down.
First let's combine like terms on the left side.
[tex]2x + 5 = x-3[/tex]
Now subtract x from both sides:
[tex]x + 5 = -3[/tex]
Subtract 5 from both sides:
[tex]x = -8[/tex]
Hope this helped!
Answer:
-8
Step-by-step explanation:
Simplify to 2x + 5 = X - 3
Subtract and you end up with x = -3 - 5
Six values on the number line above are marked with letters. Which letters represent integers when the value on the number line that corresponds to those letters is divided by 2? Question 9 options: A) L, N, O, P B) L, N, P C) N, O, P, Q D) L, M, N, O
Answer:
A) L, N, O, P
Step-by-step explanation:
The even numbers on the number line are marked by the letters L, N, O, P.
_____
If a number gives an integer result when divided by 2, it is an even number. Zero is an even number, giving the integer zero when divided by 2.
Please answer, I will give brainliest
Step-by-step explanation:
Hey, there!!
Let's look in your question,
Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.
At that time 1 US dollar= 7000 Cedi.
He paid 35000 cedi.
Us dollar for 35000 cedi = 35000/7000 $.
So, he had bought it in $5.
now,
At present,
The value of 1$ is 5.79 cedi.
As he bought it on same value,
5$ is equal to 5.79×5
= 28.95 cedi.
{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.
Hope it helps...
what is the volume of the box?
Answer:
720+810=1530
Step-by-step explanation:
-8/9x +7/10=-119/30
solve pls
Answer:
x = 5.25
Step-by-step explanation:
subtract 7/10 from both sides of the equation
-8/9x +7/10 - 7/10 = -119/30-7/10
-8/9x = -119-21/30
-8/9x = -140/30
the negative signs cancels out and the right hand side reduced to the lowest tern
8/9x = 14/3
multiply both sides by the reciprocal of 8/9 which is 9/8
9/8 * 8/9x = 14/3 * 9/8
x = 21/4
x = 5.25
5a²b² ×(3a²-4ab+6b²)
Answer:
15a⁴b²-20a³b³+30a²b⁴
Step-by-step explanation:
3a²-4ab+6b²
so for 5a²b²
(5a²b²)(3a²-4ab+6b²)
=15a⁴b²-20a³b³+30a²b⁴
By applying the distributive property, 5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴
Given the expression: 5a²b² × (3a²- 4ab + 6b²)
We would apply the distributive property by multiplying every term inside the parentheses by 5a²b².
This can be done as shown below:
5a²b² × (3a²- 4ab + 6b²) = 5a²b²(3a²) - 5a²b²(4ab) + 5a²b²(6b²)
5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴
Therefore, by applying the distributive property, 5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴Learn more here:
https://brainly.com/question/13106766
arrange tho following in ascending order: 2/9, 1/3, 5/12, 1/6
Step-by-step explanation:
5/12, 2/9, 1/6, 1/2 thats the answer
Answer:
2/9=0.22
1÷3=0.33
5÷12=0.41
1÷6=0.16
Step-by-step explanation:
5/12
1/3
2/9
1/6
Find x round to the nearest tenth
=================================================
Work Shown:
Law of Cosines
c^2 = a^2 + b^2 - 2ab*cos(C)
22^2 = 20^2 + 18^2 - 2*20*18*cos(X)
484 = 724 - 720*cos(X)
484 + 720*cos(X) = 724
720*cos(X) = 724 - 484
720*cos(X) = 240
cos(X) = 240/720
cos(X) = 1/3
X = arccos(1/3)
X = 70.528779
X = 70.5
Make sure your calculator is in degree mode.
Gregory knows that ABC is reflected onto ABC which statement about the figure is true
Answer:
Option a is right
Step-by-step explanation:
Given that a triangle ABC is reflected in triangle A'B'C'
Here reflection is done on a line
If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'
Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror
But note that corresponding images will only be perpendicular bisector to the line of reflection,
So A and A' only will be corresponding so AA' will have mid point on line
Option 1 is right
Answer:
Its A
Step-by-step explanation:
BECAUSE IM RIGHT