Answer:
9
Step-by-step explanation:
The given equation is:
[tex]x^{2}[/tex] - 6[tex]x[/tex] = 5
To complete the square you have to add one number to both sides of the equation.
First, divide the coefficient of the term x by 2 and square the result. This number should then be added to both sides of the equation.
For the equation [tex]x^{2}[/tex] - 6[tex]x[/tex] = 5 the coefficient of the term x is -6.
(6 ÷ 2)² = 9
So you'll add 9 to both sides of the equation.
[tex]x^{2}[/tex] - 6[tex]x[/tex] (+ 9) = 5 (+ 9)
↓
[tex]x^{2}[/tex] - 6[tex]x[/tex] + 9 = 14
This can also be written as:
([tex]x[/tex] - 3)² = 14
ANSWER ASAP!! 40 POINTS!! what is the 10% of the number 90,500
We start with 90,500
to get 10% we multiply it by .10
90,500 * .10 =
9050
Answer:
D
Step-by-step explanation:
What is the Equivalent of 9/5 and 18/10?
Answer:
Writing 9/5 as a decimal using the division method. To convert any fraction to decimal form, we just need to divide its numerator by denominator. Here, the fraction is 9/5 which means we need to perform 9 ÷ 5. This gives the answer as 1.8.
Step-by-step explanation:
hope this helps if not let me know
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds
and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were
shipped weighing 1280 pounds altogether. Determine the number of small boxes
shipped and the number of large boxes shipped.
Answer:
x = 8
y = 11
Step-by-step explanation:
Total small box weight = 50x [x being the number of small boxes]
Total large box weight = 80y [y being the number of large boxes]
Total boxes = x+y = 19
Total weight = 1280
Determine x and y.
You know 2 equations. One for weight and another for number of boxes each.
1280 = 50x +80yx+y = 19Rewrite second equation:
x+y=19
y=19-x
You have to plug in one into another.
1280 = 50x + 80(19-x)
Solve for x
1280 = 50x + 1520 - 80x
-240 = -30x
x = 8
Solve for y by plugging in x into one of the equations:
8+y = 19
y = 11
Delta Math: Angle Terminology with Equations
[tex]\text{The two angles are supplementary, so their sum is~} 180^{\circ} \\\\m\angle A + m\angle B= 180^{\circ}\\\\\implies x+15+x-13 = 180\\\\\implies 2x +2 = 180\\\\\implies 2x = 180-2\\\\\implies 2x = 178\\\\\implies x = \dfrac{178}2\\\\\implies x = 89\\\\\text{Hence the measure of angle B is}~ \angle B = (89-13)^{\circ} = 76^{\circ}[/tex]
Solve the quadratic function by completing the square. what are the missing pieces in the steps? –32 = 2(x2 10x) –32 = 2(x2 10x 25) 18 = 2(x 5)2 9 = (x 5)2 ± = x 5 x = –2 or x =
An equation is formed of two equal expressions. The missing pieces of the solution of the quadratic equation are 50, 3, and -8.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To fill the missing piece of the solution of the quadratic equation, you need to balance each of the equations. Therefore, the solution to the problem can be written as,
[tex]-32 = 2(x^2 + 10x)\\\\-32 + 50 = 2(x^2 + 10x + 25)\\\\18 = 2(x + 5)^2\\\\9 = (x + 5)2\\\\\pm 3= x + 5\\\\x = -2\ \ {\rm or}\ \ x = -8[/tex]
Thus, the solution of the quadratic equation is -2 or -8.
Hence, the missing pieces of the solution of the quadratic equation are 50, 3, and -8.
Learn more about Equation:
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Answer number 15 please. Thank you
Answer:
I got 84% increase
Step-by-step explanation:
Subtract final value minus starting value
Divide that amount by the absolute value of the starting value
Multiply by 100 to get percent increase
PLEASE HELP ME DUE TODAY!!!!!!!!! PLEASE ANYONE
Answer:
a
Step-by-step explanation:
Answer:the answer is A 5x5=25
Step-by-step explanation:
Hannah is experimenting with a new drawing program on her computer. She created quadrilateral MATH with coordinates M(1, 2). A(-5, 3), T(- 6,-3), and H(0,- 4). Hannah believes that she has created a square. Prove that Hannah is correct.
Answer:
It is a square, Hannah is a G.
Step-by-step explanation:
You can plug it in for visual, see attachment. You can see that it is a bit rotated square.
But real proof should be done with the points.
For it to be square all sides need to equal each other.
What's the x distance of M and A?
It is 1-(-5) = 1+5 = 6
What is the x distance of H and T?
It is 0-(-6) = 0+6 = 6
What is the y distance of M and H?
It is 2-(-4) = 2+4 = 6
What is the y distance of A and T?
It is 3-(-3) = 3+3 = 6
All are 6 so all sides are equal so it is a square.
Carly typed 180 words in two minutes enter the number of words Carly typed in five minutes at this rate
Answer:
the answer is 450
Step-by-step explanation:
180 × 2= 360. but that only gives us 4 mins we need one more min. so we divide 180 by 2 and get 90. we add 90 to 360 and get an answer of 450
How to subtract mixed numbers with unlike denominators?.
To subtract mixed numbers with different denominators, follow these steps:
1. Rename the fractions using a common denominator.
2. Subtract whole numbers from whole numbers. You might need to regroup first.
3. Subtract fractions from fractions.
4. Simplify, if needed.
Let's try it with [tex]2\frac{3}{5}-1\frac{1}{4}[/tex]
First, rename the fractions using a common denominator. The least common denominator of these fractions is 20. Multiply to make equivalent fractions with 20 as the denominator.
[tex]\frac{3x4}{5x4}=\frac{12}{20}[/tex] [tex]\frac{1x5}{4x5}=\frac{5}{20}[/tex]
Rewrite the problem and subtract the whole numbers.
[tex]2\frac{12}{20}-1\frac{5}{20}=1\frac{?}{?}[/tex]
Now, subtract the fractions. Subtract the numerators and keep the denominator the same.
[tex]2\frac{12}{20}-1\frac{5}{20}=1\frac{7}{20}[/tex]
This answer is already in its simplest form, so there is no need to simplify it.
Work out length of x
to 3 Significant Figures
image not drawn accurately
HURRY UP TO ANSWER I HAVE 10 MINUTES REMAINING BEFORE I HAVE TO ANSWER
Answer:
3.32
Step-by-step explanation:
[tex]4.7 ^2 = 22.09[/tex]
[tex]22.09/2 = 11.045[/tex]
then we can find the square root, [tex]\sqrt{11.045} = 3.32[/tex]
now we can check our answer:
[tex]a^2 + b^2 = c^2[/tex]
[tex]3.32^2 + 3.32^2 = 4.7^2[/tex]
[tex]11.0224 + 11.0224 = 22.0448[/tex]
and [tex]\sqrt{22.0448} = 4.6951[/tex] or 4.7
Please help me asap with my grade 11 trigonometry math! I'll give brainliest, please help, thank you. *URGENT*
Answer:
37.8579
This value is approximate and rounded to four decimal places
===============================================
Explanation:
The tangent function is being applied to some unknown angle x. To isolate x, we undo whatever tangent is doing. So we apply the inverse function. Specifically the inverse tangent function. This is also known as "arctangent" and your calculator most likely shows it as a button with a "-1" exponent above the "tan"
So apply the arctangent to both sides to get
tan(x) = 0.7773
arctan(tan(x)) = arctan(0.7773)
x = 37.8579
heres a diagram to help
Conor reads 3 pages every 4 minutes. At this rate, how many pages can he read in 30 minutes?
answer
22.5pages
example: 30÷4*3
A cone has a volume of 1,570 in. If
the height of the cone is 15 inches,
calculate the radius of the cone.
Step-by-step explanation:
1/3×π×r^2×15=1570. r^2=1570×21/(22×15);r=10.00
30 POINTS FOR BOTH!!!!!!! + BRAINLIEST PRE ALGEBRA
Answer:
A = 35
B = 100
C = 25
Step-by-step explanation:
All interior angles in a triangle add up to 180 degrees.
x + 65 + x + 25 = 180
2x + 110 = 180
2x = 70
x = 35
Answer (1):
A=45 B=110
Step-by-step explanation (1):
So the inner degrees has to equal 180. So you would do this:
[tex](x+65)+x+25=180\\2x+90=180\\2x=90\\x=45[/tex]
Now substitute 45 for x and check.
[tex]45+65=110\\110+45+25= < ABC\\180= < ABC[/tex]
Answer (2):
126 degrees.
Step-by-step (2):
Like I said before, the inner degrees has to equal 180. We would write another equation. By the way, the red square is for 90 degrees.
[tex](5x-6)+3x+90=180\\8x+84=180\\96=8x\\x=12[/tex]
Now substitute 12 for x.
Also to find the anterior angle, we would add the 90 and the 3x[tex]3(12)=36\\90+36=126\\126+(5x-6)=180\\120+5x=180\\180=180[/tex]
What is 3185 divided by 1625?
Answer:
1,96
Step-by-step explanation:
= 3185 ÷ 1625
= 1,96
#off
#thankyou:))
what two numbers add up to -12 and multiply to 36
Answer:
-6 and -6
Step-by-step explanation:
[tex](-6)+(-6)=(-12)\\(-6)(-6)=36[/tex]
Adding a negative is the same as subtracting.
Multipling a negative by a negative is the same as multiply two even numbers. The negative signs cancel each other out.
Find the least number 1008 would need to be multiplied by to give a square number.
Step-by-step explanation:
7 to make a perfect square
Please help I do not understand
Answer:
55 square inches.
Step-by-step explanation:
Total Area = area of the triangular roof + area of the rectangular wall
= 1/2 * 10 * 3 + 5 * 8
= 15 + 40
= 55..
someone please help me.
Answer:
Check the attachment of solution.
Answer:
x = 9Step-by-step explanation:
Proving the triangles are similar
∠MNO = ∠PQO = 80° (given)∠MON = ∠MON (common)ΔMNO ~ ΔPQOTaking the sides in proportion
MN/PQ = MO/PO (corresponding parts of similar triangles)8/4.8 = x / 5.45/3 = x/5.4x = 1.8 * 5x = 9please help
photo down below
Answer:
x=102⁰
Step-by-step explanation:
180⁰-47⁰-31⁰=180⁰-78⁰=102⁰
All of the following are considered migration push factors EXCEPT...
A. Employment Opportunity
B. Violence or war
C. Outsourcing
D. Pollution
Answer:
c. outsourcing
Step-by-step explanation:
just didbthat
Answer:
b
Step-by-step explanation:
because it shows it talks about factor
Under an enlargement transformation point A(1,-4)is mapped onto A¹(2,5)with scale factor 3 find the center of enlargement
Answer:
(1/2, -8 1/2)
Step-by-step explanation:
The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...
(A' -C) = 3(A -C)
__
Solving for C gives ...
A' -C = 3A -3C
2C = 3A -A' . . . . . . . add 3C-A'
C = (3A -A')/2
Filling in the given coordinates for A and A', we find the center of enlargement to be ...
C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2
C = (1/2, -8 1/2)
The center of enlargement is (1/2, -8 1/2).
HELP I’M GONNA FAIL!!!!!! Pls help ASAP! I NEED TO PROMOTEEEEEE!!!!
V≈33.51
Solution:Volume of a Sphere: [tex]V=\displaystyle\frac{4}{3} \pi r^3[/tex]π is equal to 3.14...r is equal to 2Plug in the values:V=4/3π(2)³V=4/3π×8V≈33.51 (rounded to the nearest hundredth)Hope it helps.
Do comment if you have any query.
Find the length of the third side. If necessary, round to the nearest tenth.
18
30
Answer:
24
Step-by-step explanation:
[tex]let \: the \: length \: of \: \: the \: third \: side \: = y \\ using \: pythaoras \: theorem \: \\ 30 {}^{2} = y { }^{2} + 18 {}^{2} \\ y {}^{2} = 30 {}^{2} - 18 {}^{2} \\ y {}^{2} = 900 - 324 \\ y {}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \\ lenht \: of \: the \: third \: side = 24[/tex]
Which is the portion of the grid that is shaded?
A. 73%
B. 7.3%
C. 0.73%
D. 0.073%
E. 0.0073%
Answer:
A. 73%
Step-by-step explanation:
There are altogether 100 small squares.
73 are shaded.
shaded portion = 73/100 = 73%
Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping? 2x2(6x – 1) 3(6x – 1) 2x2(6x – 1) – 3(6x – 1) 6x(2x2 – 3) – 1(2x2 – 3) 6x(2x2 3) 1(2x2 3)
The factor of the given expression 12x^3 - 2x² + 18x-3 is as follows (6x-1)(2x²+3).
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given expression is
12x^3 - 2x² + 18x-3
= 2x²(6x-1) + 3(6x-1)
= (6x-1)(2x²+3)
Learn more about quadratic equations;
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Answer:
A.
Step-by-step explanation:
help me guys I need It now answer it correctly no.4 and 5 pls
Answer:
4. 309.76π
5. 2500/π
Question 4
Step 1. Find radius
D = 2r
r = D/2
r = 35.2/2 = 17.6 cm
Step 2. Find area
A = πr²
A = π(17.6)²
A = 309.76π ≈ 973.14 cm²
Question 5
Step 1. Find radius
C = 2πr
r = C/2π
r = 100/2π = 50/π ≈ 15.92 m
Step 2. Find area
A = πr²
A = π(50/π)²
A = π(2500/π²)
A = 2500/π ≈ 795.77 m²
I hope this helps!
Question 4
Step 1. Find radius
D = 2r
r = D/2
r = 35.2/2 = 17.6 cm
Step 2. Find area
A = πr²
A = π(17.6)²
A = 309.76π ≈ 973.14 cm²
Question 5
Step 1. Find radius
C = 2πr
r = C/2π
r = 100/2π = 50/π ≈ 15.92 m
Step 2. Find area
A = πr²
A = π(50/π)²
A = π(2500/π²)
A = 2500/π ≈ 795.77 m²
i think these are right i hope this helped if not im sorry
what is the following states of the pythangorean theorom triangles
A door's shape is made by combining a rectangle and a semicircle. What is the area of the door?
Will mark brainlyest!!!
Answer:
I am not sure but I think the answer is 34.28
Step-by-step explanation:
Sorry if that is the wrong answer
Hope this helped
Answer:
34.28 ft^2
Step-by-step explanation:
Area of rectangular portion 7 x 4 = 28
area of semicircle with radius 2
1/2 * pi (2)^2
Added together = 34.28 ft^2