Answer:
(x + 5)² = 2 ==> x² + 10x + 27 = 0
Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + 10x + 27 = 0
We have the algebraic identity that,
(a + b)² = a² + 2ab + b²
The given quadratic equation is in the form of a² + 2ab + b², where a = x.
So, 2xb = 10x
⇒ b = 5
Now, b² = 25.
So, the given can be written as,
(x² + 10x + 25) + 2 = 0
(x + 5)² = -2
Hence the equivalent form is (x + 5)² = -2.
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can someone help me with the working out please its due Tomorrow
No links please
1.) 9(p+q) + 3(p+q)
2.) 7p-q) + 4(p-q)
3.) 6(p+ q) - 4(p-q)
4.) 8(7x + 3y) + 4(5x + 2y)
5.) 9(5x + 3y) - 5(4x + 7y)
6.) 9(7x + 4y) - 8(3x + 7y)
pls help me a little quick problem!! ty :)
Answer:
(8-b)/6
Step-by-step explanation:
give me Brainllest Plz
If h(x) = 5x - 3 and j(x) = -2x, solve hlj(2)] and select the correct answer below. (1 point)
17
23
-17
-23
Answer:
-23
Step-by-step explanation:
We are given the functions;
h(x) = 5x - 3 and j(x) = -2x
Now, we want to find h[j(2)]
j(2) = -2(2)
j(2) = -4
Thus;
h(-4) = 5(-4) - 3
h(-4) = -20 - 3
h(-4) = - 23
DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9
Answer: The answer is b !
Hope the image helps
i need help i literally don't understand this at all and the teacher doesn't explain the assignment at all.
Answer:
2) 67.8°
3) 46.8°
4) 56.0°
Step-by-step explanation:
Use the right triangle trig functions
sine, cosine, or tangent and take the inverses to find the angle
Math is hard, please help this idiot TwT
here you go i hope this help u
To solve for n, I should do what to both sides of the equation? n - 8 = 13
A. Add 8 to both sides of the equation.
B. Subtract 8 from both sides of the equation.
C. Subtract 13 from both sides of the equation.
D. Add 13 to both sides of the equation.
The interior angles of a triangle have measures 90°, 48°, and xº.
What is the value of x?
Answer:
42°
Step-by-step explanation:
The interior angles of a triangle always add to 180 degrees.
90+48+x=180
x=180-90-48
=42
x is 42°
PLS HELP IVE BEEN ASKING FOR 4 HOURS NOT A SINGLE PERSON HAS BEEN RIGHT ITS PAST DUE :( JUST TROLLS I WILL GIVE BRAINLIEST JUST PLS HELP
Answer:
Answer is in attachment. I am really sorry if I'm wrong.
Step-by-step explanation:
Finding the height:Greatest common factor (GCF) is the highest number that is a factor of 2 numbers. Not sure if that makes sense.
For example, GCF of 8 and 4 is 4, because 4 is the highest factor that fits into both numbers. 4x2=8 and 4x1=4.
In this case, the height is 7, because that's the GCF of 21 and 70. There's no bigger common factor than that. 7x3=21 and 7x10=70
Finding the length and area:Now that we know the "height", even though there's no such thing as height when calculating the area, we know the length.
The area of something is length x width. Your assignment calls it height for some reason so we'll use height x length.
Area of the 2 shapes is already given, which is 21n for the first shape. Length of the first shape is 3n because 3nx7=21n. Recall that 7 is what we found earlier.
As we can see, the "height" of the 2nd shape is the same as the first, therefore it should also be 7.
Since we are given the area of the 2nd shape, we now know its length. Length of 2nd shape is 10, because 7x10=70.
5k + 7 + 3k help me
Fast
Answer:
8k+7
Step-by-step explanation:
Like terms!
5k+3k=8k
Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 start fraction, 7, divided by, 12, end fraction of an hour. She has scheduled 3\dfrac343 4 3 3, start fraction, 3, divided by, 4, end fraction hours to play the game.
Answer:
45/7 rounds
6 3/7 rounds
Step-by-step explanation:
Here is the full question
Nicole is playing a video game where each round lasts 7/12 fraction of an hour. She has scheduled 3 3/4 fraction hours to play the game. How many rounds can Nicole play? rounds
Number of rounds she can play = total time she has scheduled / length of each round
length of each round = 7/12
total time she has scheduled = 3 3/4
3 3/4 ÷ 7/12
3 3/4 x 12/7
convert to the total time scheduled to an improper fraction
to convert to improper fraction, take the following steps :
Multiply the whole number (3) by the denominator (4) = 3x 4 = 12 Add the numerator to the answer gotten in the previous step = 14 + 3 = 15 divide the number gotten in the previous step by the denominator = 15/4[tex]\frac{15}{4}[/tex] × [tex]\frac{12}{7}[/tex] = [tex]\frac{45}{7}[/tex] rounds or [tex]6\frac{3}{7}[/tex] rounds
In fort worth, texas, 6 bats ate 36 grams of insects in one night. At this rate, how many grams of insects could 42 bats eat in one night?
Answer:
252 grams
Step-by-step explanation:
To get from 6 to 42, we need to multiply 6 by 7. This means the amount of grams of insects eaten should multiplied by 7.
36 × 7 = 252 grams
Answer:
252 grams
Step-by-step explanation:
Ratios:
[tex]\frac{6}{36} =\frac{42}{x} \\\\6x=1512\\x=252[/tex]
please help me with this! ( links = report )
Answer: 7 mi
r = √153.9/pi
r = √49.01
r = 7
If the black cloth absorbs heat energy, why was the ice cube at room temperature covered with the black cloth the slowest to melt?
determine the intercepts of the line
Answer:
(0, -5/2), (-2, 0)
Step-by-step explanation:
To find the y-intercept, set x = to 0 and find y: -4y = 10. Thus, y = -5/2. The y-intercept is (0, -5/2).
To find the x-intercept, set y = to 0 and fid x: -5x = 10. Therefore the x-intercept is -2: (-2, 0)
Please help me with this
What is m
The speed of a train is 35 miles per hour less than 2 times the speed of a car. If the speed of the train is 60 miles per hour, how fast is the car going? Leave the answer as a fraction.
plz help 20 points
Answer:
[tex]120miles \: per \: hour[/tex]
You and your friend are watching a television show . One of your friends ask,'How long are the commercials breaks during this show ?"
Time (minutes)
4.2 3.5 4.55 2.75 2.25
A . Use the mean of the values in the table to answer question
Commercial breaks average ___ minutes
3.45 (4.2+3.5+4.55+2.75+2.25)/5
The circumference of a circle is 18π in. What is the area, in square inches? Express your answer in terms of \piπ.
Answer:
A = 81π
Step-by-step explanation:
if circumference is 18π then diameter is 18 and radius is 9
A = πr²
A = 9²π or 81π
A square room in Denise's house measures 15 feet by 15 feet. Find the length of the diagonal of the room, rounded to the nearest tenth
Answer: 21.2
Step-by-step explanation:
The solution shown for the equation is
incorrect. What is the correct solution? What is the error?
-3(6-r) = 9
- 18 - 3r = 9
- 3r = 27
9
The solution is
(Type the value of r.)
Pleaseeee help ASAP
Will mark brainliest
Answer:
-3(6-r) = 9
- 18 - 3r = 9 incorrect: should be -18 +3r = 9
- 3r = 27 incorrect: should be 3r = 27
9 actually correct: r = 9
A rake was marked up 25% from an original cost of $8.80. Last Friday, Dean bought the rake and paid an additional 3% in sales tax. What was his total cost?
Answer:
$11.33
Step-by-step explanation:
First I did 8.80 x 0.25 and I got 11. Than I did 11.00 x 0.03 and I got $11.33. The total cost was $11.33
The total cost of the rake is $11.33.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Given that, a rake was marked up 25% from an original cost of $8.80.
25% of the original cost of $8.80 is
0.25×8.80 =$2.2
So the marked up price was 8.80+2.20
= $11
He then paid an additional 3% in sales tax, that is
11 + 0.03×11 = $11.33
Therefore, the total cost of the rake is $11.33.
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what is -18x + 9x – 21 + 3 = -99
Answer:
X = 9
Step-by-step explanation:
Antwone has a tutoring business. For every hour that he tutors, he makes $30. Select the equation that can be used to determine the total amount of money, y, Antwone makes for tutoring x hours. A x = 30y B y = 30x C x = 3y D y = 3x
Answer:
B. y = 30x
Step-by-step explanation:
Answer:
The answer to this problem is B)y = 30x
Step-by-step explanation:
Find the perimeter. Need help!
Thanks, NO LINKS.
Answer: it has to be [tex]36\\50[/tex]
Step-by-step explanation:you have to add them all
IF ΔABC ~ ΔXYZ, which proportion is not necessarily true?
Options
AB/BC = XY/YZ
AB/XZ = AC/YZ
AC/XZ = BC/YZ
AB/AC = XY/XZ
A shop has a fridge in a sale.The shop gives an extra 10% off the sale price of the fridge. Oliver says,"Altogether this is a saving of 30%"Is he correct?
Answer:
He is incorrect
Step-by-step explanation:
Given
[tex]Price\ off = 10\%[/tex]
Required
Is the total savings, 30%
From the question, we understand that the price of is 10%.
Since there is no other deduction to the original price of the fridge, then the 10% represents the total savings.
Hence: 30% savings is incorrect.
The graph plots four equations, A, B, C, and D:
Which pair of equations has (2, 12) as its solution?
Equation A and Equation C
Equation B and Equation C
Equation C and Equation D
Equation B and Equation D
Answer:
Hi! The answer to your question is D. Equation B and Equation D
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
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- Brooklynn Deka
Answer:
Equation B and Equation C
Step-by-step explanation:
We can pinpoint a solution of an equation on a graph by looking at where the two lines intersect. The points (2,12) quite literally mean when x is 2, y is 12. If two equations intersect at that very point, that is their solution.
Select all values of x that make the inequality −x+6≥10 true.
-3.9
4
-4.01
-4
4.01
3.9
0
-7
On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5). What is the area of triangle GHJ? 5 square units 6 square units 7 square units 12 square units
Answer:
B: 6 units
Step-by-step explanation:
just took the test
The area of triangle GHJ is 6 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the area of triangle GHJ, we can use the formula:
Area = (1/2) x base x height
where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.
We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.
In this case,
We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).
To find the height of the triangle,
We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.
Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.
Also,
The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.
The area of triangle GHJ is:
Area = (1/2) x base x height
Area = (1/2) x 3 x 4
Area = 6 square units
Thus,
The area of triangle GHJ is 6 square units.
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