Rewrite the function by completing the square. f(x)=x^2+16x-46
Answer:
[tex]f(x)=(x+8)^{2}-110[/tex]
Step-by-step explanation:
Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.
[tex]f(x)=x^{2} +16x - 46\\[/tex]
Group;
[tex]f(x)=(x^{2}+16)-46[/tex]
Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;
[tex]f(x)=(x^{2}+16x+64)-46-64[/tex]
Simplify, factor;
[tex]f(x)=(x+8)^{2} - 110[/tex]
Use the Pythagoream theorm Show your work
Answer:
c=13
Step-by-step explanation:
The equation to solve the Pythagorean Theorm looks like this-
a²+b²=c²
So, lets use it to find the hypotenuse-
5²+12²=c²
(5*5)+(12*12)=(c*c)
25+144=c²
(25+144=169)
Now we have to find the square root of 169 (just put [tex]\sqrt{169[/tex] into the calculator)
c=13
When the cheifs be wining
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Answer:
Loll.
Step-by-step explanation:
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w12h+30w12, h, plus, 30, w where hhh is the number of hours worked and www is the number of wagons sold.
What is the amount paid to an employee that works 666 hours and sells 333 wagons?
\$
Answer:
x=36° (180/5x because 2x+3x)
Step-by-step explanation:
Answer:
162
=12h+30w
=12(6)+30(3)
=72+90
=162
PLs answer correctly will mark brainliest, 40 points
Answer:
A, C, AStep-by-step explanation:
Use properties
(mᵃ)ᵇ = mᵃᵇmᵃ*mᵇ = mᵃ⁺ᵇ10.
(-t⁴)³ = -t⁴ˣ³ = -t¹²Option A11.
(t⁸)² = t⁸ˣ² = t¹⁶Option C12.
(x⁻³)⁻⁵x⁶ = x⁽⁻³⁾ˣ⁽⁻⁵⁾x⁶ = x¹⁵x⁶ = x¹⁵⁺⁶ = x²¹Option APleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
8y+2x+2w
Step-by-step explanation:
Answer:
I have literally no idea. Very sorry!
need help................
827537517172763 kahvxjx
5 in
12 in
Solve for x.
Right triangle
Answer:
That kind of depends what x is...the theta angle? the hypotenuse? the base?
But i'll solve it for the missing value of the hypotenuse
5^2 +{ 12^2=c^2
169=c2
c=169 root
c=13 inches
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
Answer: y = 3x + 1
Step-by-step explanation:
3 is the slope and 1 is the y-intercept
please help me on this will give you brainliest!!
Answer:
a) 1068 b)272
Step-by-step explanation:
For question a you would just add the two numbers together.
881+187=1068
For question b you would
-187+459=272
4 times 12 divided by 16
Answer:
3
Step-by-step explanation:
4x12=48
48/16=3
=3
Answer:
the awnser is 60
Step-by-step explanation:
If 5 < 2x + 3 < 11, what is the possible range of values of -4r – 6?
Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from dot 1, and record it in the table
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
explanation: This is the edmentum answer
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
Step-by-step explanation:
can anybody help on this question ? please and thank you !!
Answer:
Sorry I'm only in algebra one.
Step-by-step explanation:
mr. john says that a new automobile decreases 37 1/2 of its value the first year. At this rate, how much will the first value of a $4568 car drop in the first year?
Answer:
it will drop to 2855 I believe
Will mark u BRAINLIEST! Please help this is due ASAP
Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y
[tex]\left \{ {{x + y = 180} \atop {x=24+y}} \right.[/tex]
Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102
Answer:
x= 102
y= 78
Step-by-step explanation:
x+y=180
x= y + 24
2x-24 = 180
A rectangle has four sides. Fill in the blanks in the double number-line below.
rectangles
1
2
3
4
8
12
28
sides
Plz help
Expand using the distributive property -2(2 + 3x)
Answer:
-4-6x
Step-by-step explanation:
Distribute the -2
Answer:
-6x-4
Step-by-step explanation:
PLEASE HELP ASAPP!!!!! NO JOKES ONLY SERIOUS ANSWERS
11. Quadrilateral EFGH has vertices E(1, - 1) , F(3, - 5), (7, - 5) , and H(6,-1).C Graph the figure and its rotated image after a counterclockwise rotation of 90° about the origin . Then give the coordinates of the vertices for quadrilateral E'F'G'H '.
−2/3p+1/5−1+5/6p
solve
Answer:
[tex]\frac{-24p + 5}{30p}[/tex]
Step-by-step explanation:
Did you mean to add the terms. You can only solve equations or inequalities and this is an expression. Assuming you are to add the terms, then the lowest common denominator is 30p
So, [tex]\frac{-2(10)}{3p(10)} + \frac{6p}{5(6p)} - \frac{30p}{30p} + \frac{5(5)}{6p(5)}[/tex]
= [tex]\frac{-20 + 6p - 30p + 25}{30p}[/tex]
= [tex]\frac{-24p + 5}{30p}[/tex]
Answer:
1/6p-4/5
Step-by-step explanation:i have khan and it is the right awnswer
Name a pair of the supplementary angles
Answer:
a.CEA AND DEA
is pair of the supplementary angles
What is the area of the composite shape?
Answer:
84 sq. inches
Step-by-step explanation:
When you section off each, you can find the area of each shape and add together to make composite.
Triangle on left is 6 sq. inches
Rectangle on right (5x10) is 50 sq. inches
Rectangle on bottom (7x4) is 28 sq. inches
Stephanie has 7/8 pounds of bird seed she used 3/8 pound to fill a a bird feeder how munch bird seed does Stephanie have left
Answer:
1/2 is your answer = 4/8 because 7/8 - 3/8 = 4/8 = 1/2.
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
7/8 - 3/8 = 4/8
4/8 = 1/2
Original price of concert tickets: $199.95
Discount: 50%
Answer:
399.9
Step-by-step explanation:
Answer:
99.975
Step-by-step explanation:
199.95=100%
99.975
Given the side measurements, classify the triangle as acute, obtuse, right, or not a triangle. 8, 12, 14
Answer: It's an acute triangle.
Step-by-step explanation: I have the same problem, and I tried each choice, acute was the correct answer
The triangle with side lengths 8, 12, 14 is an obtuse triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.
8² + 12² = 64 + 144 = 208
14² = 196
Since 208 is greater than 196, we can see that the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.
Since the longest side is 14 and the sum of the squares of the two shorter sides is less than the square of the longest side, we can conclude that the triangle is obtuse.
Therefore, the triangle with side lengths 8, 12, 14 is an obtuse triangle.
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omplete the square
x2+6x+3
Answer:
x1 = -3-[tex]\sqrt{6} \\[/tex] , x2 = -3+[tex]\sqrt{6}[/tex]
Step-by-step explanation:
x = [tex]\frac{-6+-\sqrt{6x^{2} -4 * 1 * 3} }{2 * 1}[/tex]
x = [tex]\frac{-6+- \sqrt{24} }{2}[/tex]
x = [tex]\frac{-6 +2\sqrt{6} }{2}[/tex]
x = [tex]\frac{-6 - 2\sqrt{6} }{2}[/tex]
x = -3 + [tex]\sqrt{6}[/tex]
x = -3 - [tex]\sqrt{6}[/tex]
What is the value of x?
Enter your answer in the box.
x = ___
The value of x from the given diagram using the similarity theorem of a triangle is 7
In order to get the value of x from the given triangle, we will use the similarity theorem of a triangle.
From the given triangle, the following equation is true;
5/40 = 3/2x + 10
Cross mutiply
5(2x + 10) = 3(40)
10x + 50 = 120
10x = 120 - 50
10x = 70
x = 7
Hence the value of x from the given diagram is 7
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A circle is the set of all points in a plane at a certain distance, its radius, from a certain point, its center.
Which of the following words in the definition is an undefined term used in geometry?
O point
radius
center
o distance
Answer: distance
Step-by-step explanation:
The rest of the words have actual accompanying definitions in geometry.
An undefined term used in geometry is the point.
An undefined term used in geometry?Three undefined concepts, or terms that don't need to be specified separately even though they are utilized to construct more intricate parts, are present in this case of Euclidean geometry.The three terms in geometry that aren't specified are:1. Point2.Line\s3. PlaneIn cartesian space, for example, a point cannot be defined specifically but can be utilized to define any triangle, line segment, or cube among other 2D or 3D objects. Similar to this, a line is nothing more than another arrangement of points that is used to define more intricate objects like a wire. While a plane is simply a group of lines arranged in a specific location and orientation, similar to a piece of land.
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21286272
Tell whether the sequence is arithmetic. If it is what is the common difference? 1, 9/10, 4/5, 7/10
Answer:
the answer is D
Step-by-step explanation:
The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given arithmetic sequence is,
1, 9/10, 4/5, 7/10
The first term of the sequence a = 1
The common difference of the arithmetic sequence is the difference between two consecutive terms.
d = 9/10 - 1
d = - 1/10
The common difference of the given arithmetic sequence is - 1/10.
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what is 2/3 (6x - 1/6) + 3x?
answer::
7x=-1/9!!!!!
[tex] = \tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x [/tex]
[tex] =\tt \frac{2}{3} \times 6x - \frac{2}{3} \times \frac{1}{6} + 3x[/tex]
[tex] =\tt \frac{2 \times 6}{3}x - \frac{2 \times 1}{3 \times 6} + 3x[/tex]
[tex] = \tt \frac{12}{3} x - \frac{2}{18} + 3x [/tex]
[tex] =\tt 4x - \frac{2 \div 2}{18 \div 2} + 3x[/tex]
[tex] = \tt4 x- \frac{1}{9} + 3x[/tex]
[tex] = \tt4x + 3x - \frac{1}{9} [/tex]
[tex] \color{plum}= \tt\bold{7x - \frac{1}{9} }[/tex]
Therefore,[tex] \color{hotpink}\tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x \color{plm}= \color{plum}\tt\bold{7x - \frac{1}{9} } [/tex]