Answer:
Step-by-step explanation:
D
X 2 +10x+22=13x, squared, plus, 10, x, plus, 22, equals, 13 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
The rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
To rewrite the equation x² + 10x + 22 = 13x as (x + c)² = d or (x - c)² = d, we need to complete the square on the left side of the equation.
Step 1: Move the constant term (22) to the right side of the equation:
x² + 10x = 13x - 22
Step 2: Move all terms involving x to the left side:
x² + 10x - 13x = -22
x² - 3x = -22
Step 3: Take half of the coefficient of x (-3) and square it.
To both sides of the equation, add the following value:
x² - 3x + (-3/2)² = -22 + (-3/2)²
Simplifying:
x² - 3x + 9/4 = -22 + 9/4
Step 4: Make the right side of the equation simpler:
-22 + 9/4 = -88/4 + 9/4 = -79/4
Step 5: The left side of the equation should now be written as a perfect square trinomial:
(x - 3/2)² = -79/4
Therefore, the rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
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if one apple cost 5 rupee orange cost 0.5 rupee and grape cost 0.25 rupee . find the number of apple orange ad grape we can buy from 20 rupee.
Answer:
3
Step-by-step explanation:
Add all the costs of the fruit.
5.75
Then divide it by 20.
= 3.4782.....
You can't have a quarter or half and apple so you round down.
Son answer is 3.
Hope this has helped!
MATH MATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATH
Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?
Answer: 26-5
Step-by-step explanation:
literally you take 5 aways from 26
ASAP plzzz thanks
What is the next number in the sequence below?
3,6,9,12,?
O A. 21
O B. 14
O C. 18
O D. 15
Answer:
its 15 ur counting by 3's
Step-by-step explanation:
Answer:
it is 15
Step-by-step explanation:
just go by 3's 3,6,9,12,15,18,21,24,27,30
A photograph of sides 35cm by 22cm is mounted onto a
frame of external dimension 45cm by 30cm. Find the area
of the border surrounding the photograph.
===================================================
Work Shown:
A = area of smaller rectangle
A = length*width
A = 35*22
A = 770
B = area of larger rectangle
B = length*width
B = 45*30
B = 1350
C = area of the border only
C = B - A
C = 1350-770
C = 580 square cm
Step-by-step explanation:
Dimension of photograph is 35cm and 22cm.
And external dimension of photo frame is 45cm and 30cm
So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.
So, The area of the border surrounding the photograph=45×30−35×22
=1350−770=580cm
2
Write a conjecture for the following situation - the product of three odd numbers.
Answer:
5
Step-by-step explanation:
The members of the Smithtown baseball team sell $5 raffle tickets and $20 raffle
tickets for a fundraiser. Emilio sells a total of 50 tickets and has collected $400.
The graph of the system of equations that represents this scenario is shown below.
Which of the following is the best interpretation of the solution to the system of
equations in context of the scenario?
A Emilio has sold 20 of the $20 raffle tickets and 50 of the $5 raffle tickets.
B Emilio has sold 50 of the $20 raffle tickets and 20 of the $5 raffle tickets.
C Emilio has sold 10 of the $5 raffle tickets and 40 of the $20 raffle tickets.
D Emilio has sold 40 of the $5 raffle tickets and 10 of the $20 raffle tickets.
Answer: d
Step-by-step explanation:
The drop down options are explicit and recursive.
Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.
Hence, we are relating the previous terms to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
I dont understand this
Answer:
x=66
Step-by-step explanation:
180-114=66
Interior angles on the same side of transversal are supplementary (180°).
So,
x + 114° = 180°
=> x = 180° - 114°
=> x = 66°
SOMEONE PLEASE HELP
ONLY ANSWER IF YOU KNOW THE ANSWER
I WILL BE REPORTING ANSWERS THAT HAVE NOTHING TO DO WITH THIS
Answer: c and e
Step-by-step explanation:
Amanda is making white oatmeal cookies with raisins and pecans for her club.The recipe makes seventeen of the big,chewy kind of oatmeal cookies with lots of raisins and nuts.It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies!There are thirty-four members in Amanda's club .If she makes exactly thirty-four cookies,how many cups of nuts will she need ?
Answer:
1/2 cup of nuts
Step-by-step explanation:
If it takes 1/4 cups of nuts to make 17 cookies
Then it takes 1/4 * 1/17 = 1/68 cups of nut to make 1 cookie
So,
If 1/68 cups of nut are needed to make 1 cookie
To make 34 cookies we need;
34 * 1/68 = 1/2 cup of nuts
Can you guys check these :) I’ll give brainleist :)
Answer:
9. No
10. Yes
Step-by-step explanation:
The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.
The second one is since every x appears only once.
Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.
Answer:
Step-by-step explanation:
Well, the linear equation of a line is:
y=mx+b
Where
m
is the slope and
b
is your y-intercept
So, you can just plug the numbers into the equation
m = − 3
and
b = − 2
y = − 3x-2
A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?
Answer:
It would be -100
Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary
Answer:
See attachment.
Step-by-step explanation:
The name of the streets and places are abbreviated as follows:
✍️The Streets:
Fox Boulevard = FB
Harty Way = HW
Barbosa Avenue = BA
✍️Places:
Hankins Salon = HS
Chase bank = CB
Buckley Park = BP
Town Hall = TH
Popeye's = PP
McDonalds = MD
Based on the information given, a diagram of the streets have been drawn and attached below.
1+2=? may be 3
plz help me
Answer:
I'm pretty sure it is 3
Step-by-step explanation:
Not too sure though
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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Line b passes through (3, 4) and (0, 2).
is it parallel?
Answer:
no perpendicular
Step-by-step explanation:
I need help with my homework
Answer:
The measure of the arc RQ is 160°
Step-by-step explanation:
In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°Let us use these rules to solve the question
In the given figure
∵ ∠RPQ is an inscribed angle subtended by arc RQ
∴ m of arc RQ = 2 × m∠RPQ
∴ m∠RPQ = 5x + 15
∴ m of arc RQ = 2 × (5x + 15)
→ Multiply the bracket by 2
∴ m of arc RQ = 2(5x) + 2(15)
∴ m of arc RQ = 10x + 30
∵ The measure of the circle = 360°
∵ The sum of the measures of arcs RQ, QP, and PR equals the measure
of the circle
∵ m of arc QP = 6x - 12
∵ m of arc PR = 9x + 17
→ Add them and equate the sum by 360°
∴ 10x + 30 + 6x - 12 + 9x + 17 = 360
→ Add the like terms in the left side
∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360
∴ 25x + 35 = 360
→ Subtract 35 from both sides
∴ 25x = 325
→ Divide both sides by 25 to find x
∴ x = 13
→ To find the measure of arc RQ substitute x by 13 in its measure
∵ m of arc RQ = 10(13) + 30 = 130 + 30
∴ m of arc RQ = 160°
∴ The measure of the arc RQ is 160°
what is the slope of the line 5x +2y = -15
Answer:
-5/2
Step-by-step explanation:
5x +2y = -15
-5x -5x
2y = -5x - 15
y = -5/2x - 7.5
y = mx + b
Slope (m) = -5/2
down 5, right 2
At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?
Answer:
$0.52 cents per banana. $39 divided by the 75 bananas
Step-by-step explanation:
Answer:
$0.52
Step-by-step explanation:
When finding the unit price, we use divide the certain number of units of an item by the number of units
So for this question we will divide 39/75 to get a result of $0.52
Julie started with 20 prices of gum
Answer:
The answer is C) 15
Step-by-step explanation:
If you replace each answer choice with the varibale, (x) then 15 would be the only choice that fits properly.
Equation: 20-x = 35-(2x)
when replacing 15 with x this is your new equation...
20-15 = 35-(2x15)
5 = 35-30
5=5
hope this helped :)
brainliest?
75=-5(3+6m) I need this
ANSWER NEEDED ASAP!
Find the value of x. (Hint: The sum of the angles in
a triangle is 180 degrees.)
The value of x is degrees.
Answer:
look below
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Find the perimeter of each figure.
Answer:
28 for both of them
Step-by-step explanation:
1 is 28cm and 2 is 28cm
Step-by-step explanation:
since you know 2 of the sides you know the length of half of it since they are squares so if you att the 2 sides you know then multiply it by 2 you get the perimeter of that shape
?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?
Answer 10$ + 8$+5$= answer that first.
Step-by-step explanation:
On the set of axes below, triangle ABC is graphed. Triangles A'B'C'
and A"B"C", the images of triangle ABC, are graphed after a
sequence of rigid motions.
Answer:
Step-by-step explanation:
a reflection followed by a rotation
The sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. Graphs are used to map out functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis and a vertical y-axis.
For the given situation,
The graph shows the triangle ABC plotted in the fourth quadrant.
The triangle A'B'C' are graphed in the third quadrant as its reflection.
The triangle A''B''C'' are graphed in the second quadrant by reflecting the triangle A'B'C' and then rotating it.
Hence we can conclude that the sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.
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