The number that needs tο be added tο cοmplete the square is 90.25.
What is the quadratic equatiοn?In algebra, a quadratic equatiοn is any equatiοn that can be rearranged in standard fοrm as where x represents an unknοwn value, and a, b, and c represent knοwn numbers
Tο cοmplete the square fοr the quadratic equatiοn x² - 19x + 23 = 0, we need tο add a number that is equal tο half οf the cοefficient οf x (which is -19) squared.
Sο,
(-19/2)² = 90.25
Therefοre, we need tο add 90.25 tο bοth sides οf the equatiοn:
[tex]x^2 - 19x + 23 + 90.25 = 90.25[/tex]
Then we can rewrite the left side as a perfect square:
[tex](x - 9.5)^2 = 90.25[/tex]
Now we can take the square root of both sides to solve for x:
x - 9.5 = ±√(90.25)
x = 9.5 ± 9.5√(2)
Hence, the number that needs to be added to complete the square is 90.25.
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Answer: 90.25
Step-by-step explanation:
A company produces circular drink coasters. The equation x2 y2 = 18. 0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece? 4. 25 in2 8. 5 in2 18. 0625 in2 72. 25 in2.
The minimum possible area of the square cardboard will be given as
[tex]a= 72.2\ in ^2[/tex]
What will be the area of the dashboard?The area of the square is the product of its two lengths.
We have an equation of the circular drink coaster
[tex]x^2+y^2=18.0625[/tex]
Comparing the above equation from the general form of the circle
[tex]x^2+y^2=r^2[/tex]
We can see that from the equation
[tex]r^2=18.0625[/tex]
[tex]r=4.25\ inch[/tex]
Diameter [tex]d=4.25\times 2=8.50[/tex]
The diameter will be the length of the square since the circle is cut from the square.
So the area of the square will be
[tex]a=d\times d=8.50\times 8.50=72.25\ inch^2[/tex]
Thus the minimum possible area of the square cardboard will be given as [tex]a= 72.2\ in ^2[/tex]
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Please help! Thank u so much
Answer:
x= 11/3
Step-by-step explanation:
6x-8=3+3x
6x-8+8=3+3x+8
6x=3x+11
6x-3x=3x+11-3x
3x=11
3x/3=11/3
x=11/3
Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero.
ANSWER:
The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.
can someone explain this to me
Answer:
the question is mistyped.. they are trying to ask for the area.. not are.. :P soooo ... to answer the question that is trying to be asked.. and not the one that is being asked.. b/c there isn't really an answer to what is the are.... :/
Step-by-step explanation:
area of a triangle is 1/2 area of the box that the triangle makes 1/2 hmm , hence the fomula.. 1/2*base*height.... b/c base*height is the area for a box... soooo ...
for this triangle it's 1/2* 3 * 4= 6 :)
note: even thou this is not a right triangle.. we still know the height of it.. the graph is showing us that. so our formula still works... for this one if we didn't know height.. we might have to use sin() or cos() to figure out height.. but here it's given. luckily :)
Carlos was given the problem "Evaluate the expression 2x^2 + 5 when x=3." Carlos wrote the answer 41. Was he correct? Explain.
Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?
A) 21 years old
B) 22 years old
C) 24 years old
D) 27 years old
Answer:
24 yrs old. I hope this is helpful.
HELP QUICK which function has the greater rate of change
Answer:
Function A i think.....
Step-by-step explanation:
An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
42° and 48°
Step-by-step explanation:
Complementary angles add up to 90°.
So we have one angle x and the other angle x+6 which when added together will equal 90°.
x + x + 6 = 90
2x + 6 = 90
-6 - 6
2x = 84
Divide both sides by 2
2x/2 = 84/2
x = 42
So one angle = 42°, and the other angle = 42° + 6° = 48°.
y-2x=6 make y the subject of formula
Answer:
below...
Step-by-step explanation:
y=2x-6
Hello.
In order to make a variable the subject of a formula, we need to isolate it (get it by itself)
In this case, we need to add 2 to both sides.
[tex]\mathrm{y-2x+2x=6+2x}[/tex]
[tex]\mathrm{y=6+2x}[/tex]
And we're done!
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
How many perfect cubes are there between 2 to 200 ?
ANSWER fast
Answer:
Three
Step-by-step explanation:
The perfect cubes between 2 to 200 are
[tex] {3}^{3} = 27 \\ \\ {4}^{3} = 64 \\ \\ {5}^{3} = 125 \\ [/tex]
Hence, there are only three perfect cubes 27, 64 and 125 between 2 to 200.
A 100 pound person on earth would weigh about 38 pounds on mars and 17 pounds on the moon. What would a 150 pound person on earth
Mr. Majors ordered six hot dogs and a bucket of popcorn at the concession stand. If the popcorn
was $3.20, and the total was $18.20, what was the price of one hot dog?
Answer:
The cost of one hot dog is $2.50
Step-by-step explanation:
You need to subtract $3.20 from $18.20 to get $15.00. Then you need to divide $15.00 by 6 to get $2.50.
A rectangle has a length of (2x + 3) cm and a width of (x + 5) cm.
(a) Find an expression for the perimeter of the rectangle.
Answer:
P = 6x + 16
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width ) , then
P = 2(2x + 3) + 2(x + 5) ← distribute both parenthesis
= 4x + 6 + 2x + 10 ← collect like terms
= 6x + 16
this is the answer i do hope u understood it
Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
Answer:
Commutative property of multiplication
Step-by-step explanation:
The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs $(x,y)$ of positive integers is the harmonic mean of $x$ and $y$ equal to $20$
Answer:
9 ordered pairs
Step-by-step explanation:
The requirement that the harmonic mean of two positive integers be 20 places a restriction on what those integers may be.
20 = 2/(1/x +1/y)
y = 10x/(x -10)
Integer values of x that produce integer values of y are ...
x ∈ {11, 12, 14, 15, 20, 30, 35, 60, 110}
The corresponding 9 ordered pairs are ...
(11, 110), (12, 60), (14, 35), (15, 30), (20, 20), (30, 15), (35, 14), (60, 12), (110, 11)
What is the solution of the proportion 2/3 = x/14 ? Round to the nearest tenth if necessary.
A. 21
B. 2
C. 7
D. 9.3
Answer:
D. 9.3
Step-by-step explanation:
Answer:
D ( 9.3)
Step-by-step explanation:
2/3 = x/14 -->
14 *2/3 = x -->
28/3 = x -->
9.33.... = x-->
9.3 = x
Which of the following is an example of when you would pay sales tax? A) Paid when you buy video games B) Comes out of your paycheck C) Paid when you own a home
HELP PLSSS 50+ POINTSS ASAP
Answer:A
You would pay sales tax when you buy a video games so A
(not sure but pretty sure)
Step-by-step explanation:
pls help this is my last question help!!!!
Factor completely x2 - 8x + 16.
(x + 4)(x + 4)
(X - 4)(x - 4)
(X + 4)(x - 4)
(x-2)(x-8).
help
Answer:
(x-4)(x-4) is the correct answer!! i got it right
Step-by-step explanation:
What is cos 45º?
O A.
1
2
O B. 7 /
O C. 13
1
O D.
E. 1
0
OF A
F. 3
Answer:
The exact value of cos(45°) is √(2) / 2.
Step-by-step explanation:
Answer:
Answer:√2/2=cos45
√2/2×√2/√2=2/2√2
1/√2
Hi im gonna use all my points on this
Answer:
10 bracelets
Step-by-step explanation:
5 feet of yarn is 60 inches of yarn, if each bracelet takes 6 inches of yarn to make, you have to divide 60 by 6 which is 10 bracelets
This is the second half of the other paper I showed:)!
Step-by-step explanation:
for all of it you should do sum of angles in a triangle
How would you do this type of problem?
Answer:
You make a table rounding up the times a card was drawn, then find the median. To find the median, find the middle number or the one that appears the most.
giving brainlist for correct answer. :))
Answer:
162 cubes
Step-by-step explanation:
The formula for finding the volume of a rectangular prism is length x width x height.
6 x 3 x 4.5 = 81
Since each cube is only half a centimeter, we need to multiply this by two.
81 x 2 = 162 cubes
To solve the logarithmic inequality below, Braden
decides to first
create a table of values representing the left side of the inequality. Which statements accurately reflect Braden's inequality? Check all that apply.
The domain of the logarithmic expression is x < 2.
The solution set is the interval (5, 14).
When written as two inequalities and graphed, the graphs intersect at (5, 14).
When graphed, the overlapping shading extends to
positive infinity.
The ordered pair (32, 3) could be included in the
table.
Answer: B and E
Step-by-step explanation:
Edge
Answer:
BE
Step-by-step explanation:
just took test
The measure of angle m is 7 degrees less than the measure of angle n. If the sum of the measures of the two angles is 59° find the measure of each angle
Answer:
Step-by-step explanation:
The measure of each angle are 33 and 26 if the measure of angle m is 7 degrees less than the measure of angle n.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The measure of angle m is 7 degrees less than the measure of angle n.
m = n - 7 ...(I)
The sum of the measures of the two angles is 59°
m + n = 59 ...(II)
Solving the above two linear equations in two variables by substitution method:
n - 7 + n = 59
2n = 66
n = 33
m = 33 - 7 = 26
Thus, the measure of each angle are 33 and 26 if the measure of angle m is 7 degrees less than the measure of angle n.
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ANSWER QUICK PLEASE!!!!
Answer:
A
Step-by-step explanation:
A would be the answer because The distance you shoot from has no effect on shooting accurcy.
a transporter has one lorry and five pickups. the lorry can carry 100 bags of maize while each pickup can carry 20 bags. the transporter has to transport maize to a school. the lorry makes 5trips. two of the pickups make 7 trips each while the rest make 8 trips each. find the number of bags of maize that was transported to the school if each vehicle was full every trip made
Answer:
1100 bags, above is the solution to the question
The line y = 0.5x + 8 passes through (-10, a) and (-20, b). Find the values of a and b.
Answer:
Step-by-step explanation:
Write out the equation y = 0.5x + 8. Now focus on the point (-10, a). In the given equation, let y = a and x = -10: a = 0.5(-10) + 8, so that a = 3.
Next, focus on the point (-20, b). Find b: In y = -0.5x + 8, replace x with -20 and y with b: b = 0.5(-20) + 8, or b = -10 + 8, or b = -2
please expand it
(c-7d)2
Answer:
c² - 14cd + 49d²
Step-by-step explanation:
Given
(c - 7d)²
= (c - 7d)(c - 7d)
Each term in the second factor is multiplied by each term in the first factor, that is
c(c - 7d) - 7d(c - 7d) ← distribute both parenthesis
= c² - 7cd - 7cd + 49d² ← collect like terms
= c² - 14cd + 49d²