Answer:
I believe it could be any number because:
let y=any number
x^2+10x+y=16+y
x^2+10x+y-y=16+y-y
x^2+10x=16
you can add any number to both side and not change the solution.
The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
What is quadratic equation?"It is an equation with degree two.""The general form of quadratic equation is ax² + bx + c = 0"What is the method of completing the square?To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.
1) First divide both the sides of the equation by the coefficient of x² that is 'a'
2) Add or subtract both the sides of the equation by (b/2)² that is complete the square
3) Solve the resulting equation to find the roots of the equation
For given example,
We have been given a quadratic equation x² + 10x+ ___ = 16 + ___
By comparing given equation with ax² + bx + c = 0,
we have a = 1, b = 10
To complete the square for given quadratic equation we add (b/2)² on both the sides.
⇒ (b/2)² = (10/2)²
⇒ (b/2)² = 5²
⇒ (b/2)² = 25
So, the quadratic equation would be,
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 41
⇒ x + 5 = ±√41
⇒ x = -5 ± √41
So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41
Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
Learn more about the completing the square here:
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1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?
4 1/2 inches
3 1/2 inches
5 1/2 inches
9 1/2 inches
Please help im struggling with this unit pls help
Answer:
C) (1, -3/2)
Step-by-step explanation:
the midpoint formula is the sum of the x-values divided by 2 followed by the sum of the y-values divided by 2
points: (1, 2) (1, -5)
[(1+1)/2, (2 + -5)/2]
(2/2, -3/2) or (1, -3/2)
pls pls help me pls help me
Answer:
68m squared or the first option
Step-by-step explanation:
Midtown Antiques has found that sales have decreased 5% from last year. Sales this year are $108,665. To the nearest dollar, find the amount of last year's sales. a. $115,384 c. $114,374 b. $114,384 d. $114,284
Answer:
b on edu
Step-by-step explanation:
1/4x + 2/5x = 39
0.6x + 0.5 = 2.9
3/5x = 9
whoever can give me the answer with work will get branliest please help asap
Answer:
(a) [tex]x = 60[/tex]
(b) [tex]x = 2.64[/tex]
(c) [tex]x=15[/tex]
Step-by-step explanation:
Solving (a):
[tex]\frac{1}{4}x + \frac{2}{5}x = 39[/tex]
[tex]\frac{x}{4} + \frac{2x}{5} = 39[/tex]
Take LCM
[tex]\frac{13x}{20} = 39[/tex]
Multiply through by 20
[tex]20 * \frac{13x}{20} = 39 * 20[/tex]
[tex]13x = 39 * 20[/tex]
[tex]13x = 780[/tex]
Solve for x
[tex]x = 780/13[/tex]
[tex]x = 60[/tex]
Solving (b):
[tex]0.6x + 0.5x = 2.9[/tex]
This gives:
[tex]1.1x = 2.9[/tex]
Solve for x
[tex]x = \frac{2.9}{1.1}[/tex]
[tex]x = \frac{29}{11}[/tex]
[tex]x = 2.64[/tex]
Solving (c):
[tex]\frac{3}{5}x = 9[/tex]
Multiply both sides by [tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}*\frac{3}{5}x = 9 * \frac{5}{3}[/tex]
[tex]x = 9 * \frac{5}{3}[/tex]
[tex]x = \frac{9 *5}{3}[/tex]
[tex]x = \frac{45}{3}[/tex]
[tex]x=15[/tex]
Choose the equation rhat represents the fraction 1/8. 7÷8, 1÷8, 8÷7, 8÷1
Answer:
7÷8 and 8÷7
Step-by-step explanation:
true or false???????
Answer:
true that trump = worst president
Step-by-step explanation:
Answer:
1.)A rhombus is a quadrilateral with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses.
2.) When all 4 sides of a rectangle are equal then the rectangle is a square. So, a rectangle can also sometimes be a square
3.)If you have a rhombus with four equal interior angles, you have a square. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
4.)Yes. Every square is a closed figure, and every square has 4 straight sides, so every square is a quadrilateral.
Step-by-step explanation:
hope this helps <3
100 points I need help
Answer:
D is located at (-5, 2)
Answer:
point D
Step-by-step explanation:
(-5, 2) can be represented as (x, y)
This mean when x = -5, y is = 2
We need to trace the x-axis to -5 and get the corresponding point at y equals to 2
Tracing the point on the graph, we find the point D is at x = -5 and y = 2
Hence, point D is located at (-5, 2)
Compare and contrast the AA similarity criterion with the ASA congruence criterion. Choose the correct answer.
A. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
B. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the non-included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
C. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same size.
D. Both criteria require that two pairs of sides be congruent, but for congruence you also need to know that the included angles are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
Answer:
A
Step-by-step explanation:
Both criteria require that two pairs of angles be congruent, but for congruence, you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape. Thus option A is correct.
What is AA similarity criterion?According to the Angle-Angle (AA) criterion, two triangle being considered comparable if "two angles from one triangle are equally equivalent to two angles of some other triangle."
According to the ASA congruence rule, two triangles are compatible when their two covered sides and two contained angles are equivalent to each other. However, thus according to AAS, if two triangles have two angles as well as one side that are identical to one another, then perhaps the triangles are congruent.
Because ASA and AAS are identical since it follows that if two images in one triangle are equal with two angles in another, therefore the third angles must likewise be identical. Therefore, option A is the correct option.
Learn more about AA similarity criterion, Here:
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Which table of values represents a linear function?
Answer:
B is the table value which represents the l
3 days 22 hours equals how many hours
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 94Write 1378 in expanded form
1378=
Answer:
1000+ 300+ 70+ 8=1378
Step-by-step explanation:
Answer:
1,378 dollars yessssssssssssssssss
Can someone tell me how to figure this out and the answer. (Brainliest I can give)
9514 1404 393
Answer:
x/50 = 40/100
x = 20
Step-by-step explanation:
It is useful to remember that the symbol % is a shorthand way to write /100. (Similarly, the symbol ‰ is a shorthand way to write /1000.) This means the number 40% represents the ratio 40/100. In decimal, that is 0.40 (forty hundredths).
When this is the fraction that represents the number of test questions that are correct, you can see that the proportion should be ...
correct / total questions = x / 50 = 40 / 100 . . . . the desired proportion
Multiplying by 50 gives the value of x:
x = 50(0.40)
x = 20 . . . . the value of x
How much interest is earned on $342.50 at 8% for three years?
Please help me with this question I am really confused
Step-by-step explanation:
The answer is consistent
Fiona enlarges a parallelogram that has a perimeter of 17 meters.
A small parallelogram has a left side length of 3.5 meters. A larger parallelogram has a left side length of 21 meters.
Not drawn to scale
What is the perimeter of the enlarged parallelogram?
30 meters
73.5 meters
102 meters
105 meters
Answer:
The correct answer is C.
Step-by-step explanation:
Answer: C. 102 cm
Step-by-step explanation:
I took the quiz on Edge, and it is correct.
72 is 8 times as many as 64
Answer:
False.
Step-by-step explanation:
72 does not equal 64x8.
Hope I helped!
WILL MARK BRAINLYIST
Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
Answer:
[tex]y = 2250x + 1500[/tex]
Step-by-step explanation:
What’s the answer to A
Answer:
a=65, m=−1
a=65, m=1
Step-by-step explanation:
Answer:
-1 is the answer to A, hope this helps
A group of students organized a car wash to raise money for a local charity. In 3 hours, they washed 12 cars. If the students keep washing cars at the same rate, how many cars did they wash in eight hours?
Answer:
32 cars
Step-by-step explanation:
3 hours = 12 cars
3/3 = 1
12/3 = 4
1 hour = 4 cars
x8 x8
8 hours = 32 cars
plz help yall I´m really bad at this
Answer:
should be -15
Step-by-step explanation:
If the water flows at 3 gallons per minute.
how much water would be used in 30
minutes?
Answer:
90 gallons
Step-by-step explanation:
Answer:
90 gallons
Step-by-step explanation:
A model chair has been designed using a scale 1 inch : 5 inches. The height of the
model chair is 4 inches in length. What would be the actual height of the chair?
Answer:
20 Inches is the actual height
Step-by-step explanation:
Okay so it means 1 inch = 5 inches. There are 4 inches. 4 x 5 = 20.
In AJKL, the measure of ZL=90°, LK = 12, KJ = 37, and JL = 35. What ratio
represents the secant of K?
Answer:
37/12
Step-by-step explanation:
sec A hyp/adj
For angle K, the adjacent leg is LK. JK is the hypotenuse.
sec K = hyp/adj
sec K = 37/12
Yesterday, Mary had n baseball cards. Today, she gave 18 away. Using n , write an expression for the number of cards Mary has left.
Answer:
n-18
Step-by-step explanation:
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Answer:
sigma should be used
Step-by-step explanation:
Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.
The above given is for sample of 27 size.
For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.
But once population std deviation is given, we use only that as that would be more reliable.
So here we can use population std deviation 1.4 only.
If population std deviation is used we can use normality and do Z test
Hope this helps ;)
A die is rolled two times.
What is the probability of getting a 2 on the first roll and a 5 on the second roll?
Answer:
1/36
Step-by-step explanation:
total are 36 and it's 1
Use the Pythagorean theorem to find the missing side of the triangle!!
7.50 on 250.00 is what percentage
Answer:
the answer is 3 zz
Step-by-step explanation:
Please help me find the surface area of this shape!
