Whats the first step when solving for g? 6g-4=8
6g=12------------------------------------Step 1: Add 4 to both sides
g=2---------------------------------------Step 2: Divide both sides by 6
Good luck with your classes! I hope this helped!
A quadratic equation is shown below: 9x2 - 36x + 36 = 0 Part A: Describe the solution(s) to the equation by just determining the discriminant. Show your work. (3 points) Part B: Solve 2x2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)
9x² - 36x + 36 = 0
9(x² - 4x + 4) = 0
9(x-2)(x-2) = 0
Radicand = Discriminant = 36² - 4(9)(36) = 0
there is 1 real zero that repeats itself)
zero is x=2.
Use factoring. Factors of 7 are 1 and 7
2x²-9x+7 = 0
(2x-7)(x-1) = 0
2x-7 = 0 (x-1)=0
2x = 7x=1
x = 7/2
Your solutions are x = 1 and x = 7/2
I hope my answers helped you
1. Take your straightedge (like a ruler or the side of a folder or notebook) and draw five lines on a piece of paper, just make sure none of them aren't the exact same size (not too hard.)
2. Now you want to make segments the same length as your original lines. This is great, because you have a compass, and compasses are great at keeping the length of things! Open your compass and put the pointy end at one side of your first segment. Now open it until the pencil end is at the other end--you now have the length of your first segment (lock your compass, or be really careful with it to make sure it doesn't change how far open it is.) Next, on your new paper, where you're putting the congruent segments, draw a point. Put the pointy end of your compass on the point, then make a small, curved mark with the pencil side. Take your straight edge, and connect your point to any point on that small, curved line. Do this for all 5 of your lines.
3. Remember that your compass keeps track of how long something is, so in order to figure out which ones are least (shortest) to greatest (longest) just look at how far you had to open your compass. The one where you had to open it very little is your least, and the one where you opened it very widely is your greatest, the others fall in between.
4. Okay, this part sounds tricky but really is not. Choose what segment you want to double. Once more, put the pointy end at one point on the compass and open it so that the pencil part goes to the other end, lock your compass. Just like you did before, draw a point, put your pointy end of the compass on that point, now instead of making a small mark like you did before, swing your pencil all the way around your point, you will have created a circle with a radius of your original line. Now, take your straightedge and draw a line connecting one side of the circle to the other side, going through your original point--congratulations! You've just doubled your line segment.
5. Again, this one sounds harder than it is, and there's probably a lot of ways to do it. Here's how I suggest--First, make a copy of your longest segment in the way described in #3, but draw your line lightly. Second, open your compass to the length of your smallest segment. Now instead of drawing a new line, put the pointy end on ONE point of your COPY of your longest segment, and swing to make a mark on the line you just created. Now, connect your mark from your short segment, to the other end of your longest segment, and voila! You've now created a segment equal to the difference between the two. Hope this helped!
Let the depth of the river = d
So in order to find the product, you simply multiply
so the product of 86 and the depth of the river would be 86 * d
Hope this answers your question. Have a great day!
We just want to get only A on the LHS and how much A is on the RHS.
A + 24 - 24 = -15 - 24 // we get rid of the +24 to only leave A and we do it on the other side because we always do that
A = -39
We have to do a change of variable.
Then, we have the next square equation.
We solve this square equation:
if cos x=t then we have that:
x=cos⁻¹ -1= π radians or 180º.
Answer: x=π (in radians) or x=180º (in degrees).
The area (A) of the shaded region is the difference between the area of the rectangle (A1) and the white square (A2).
A = A1 - A2
A1 = (x + 10)(2x + 5)
= 2x² + 5x + 20x + 50
= 2x² + 25x + 50
A2 = (x +1 )² = x² + 2x + 1
A = A1 - A2
= 2x² + 25x + 50 - (x² + 2x + 1)
= 2x² + 25x + 50 - x² - 2x - 1
= x² + 23x + 49
2/5 - 8/20
If so, that means that each term is multiplied by negative 6.
So, 4 times -6 = -24. Then -24 x -6 = 144. And so on.
So -864 x -6 = 5,184. (5th term)
5,184 x -6 = -31,104. (6th term)
-31,104 x -6 = 186,624. (7th term)
186,624 x -6 = -1,119,744. (8th term)
I think, and hope, that it is correct. Hope this helps! :)
PLEASE HELP The following sentence shows one of the steps to construct a regular hexagon inscribed in a circle. "Make a point A anywhere in the circumference for the first vertex. Place the compass on point A and draw an arc to create the next vertex of the hexagon." Which of the following statements should be added to make this step correct? is it The width of the compass needs to be set to equal the radius of the circle. or is it The width of the compass needs to be set to equal half the radius of the circle.
The width of the compass needs to be set to equal the radius of the circle.
The statement that should be added to make this step correct is - The width of the compass needs to be set to equal the radius of the circle.
You can see the complete steps below:
1. Mark a point anywhere on the circle, which will be the first vertex of the hexagon.
2. Now set the compass on this vertex and set the width of the compass to the center of the circle. This setting is the radius of the circle.
3. Make an arc across the circle that will be the next vertex of the hexagon.
4. Now we will move the compass on to the next vertex and draw another arc. Now the third vertex of the hexagon will be drawn.
5. We continue the above step until we get all six vertices.
6. Lastly, we draw a line between each successive pairs of vertices. This forms the hexagon.
PLEASE HELP The figure below shows circle with center O and regular hexagon ABCDEF constructed inscribed in a circle.Which of the following steps will help prove that triangle FBD is equilateral? IS IT Prove that DA, EF, and CB are parallel or Prove that triangles BDC, DFE, and BFA are congruent
Answer with explanation:
Regular hexagon A B C DEF is inscribed in a circle having center O.The meaning of regular Hexagon is that all it's interior angle as well as Exterior angle are equal as well as all it's sides are equal.
We have to prove that, ΔFBD is equilateral.
→To prove this we will prove that, triangles B DC, D FE, and B FA are congruent.
In ΔB DC and Δ D FE
Sides as well as Interior angles of regular Hexagon are congruent.
→→ΔB DC ≅ Δ D FE-----[S AS]
Similarly,→Δ DFE, ≅ ΔBFA -----[S AS]
Also, →ΔB DC ≅ Δ B FA -----[S AS]
Therefore these three triangles are congruent to One Another.
→Which gives, BF=FD=DB---------[Corresponding Part of Congruent Triangles Abbreviated as C PCT]
→Showing Δ F B D is equilateral.
As mentions in the explanation steps
In the given figure hexagonal ABCDEF is a regular hexagonal, therefore each interior angles and sides of the hexagonal are same.
Now, the following steps are helpful to prove that the triangle FBD is equilateral.
(1). Join the the three pints (pint F, pint B, pint D ) with the help of line segments and formed a triangle FBD.
(2). In ΔFAB, ΔBCD, ΔDEF two sides of each triangle and included angle are same( because two sides of each triangle and included angle must be the sides and interior angle of the given regular hexagon ABCDEF). So ΔFAB, ΔBCD and ΔDEF are congruence to each other by SAS postulate.
(3). By corresponding part of congruence triangle we say that line segment FB, line segment BD and line segment DF are same.
(4). Hence ΔFBD is an equilateral triangle, because all sides are same (from step -3).
Would be: 2m^2 * 2m^3
and that would be: 4m^5
add (6a) to both sides
-6a +2b+6a = 8 +6a
2b = 8+ 6a
divide both sides by 2
b= 8/2 + 6a/2
Hope this helps :)
The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132. Lara wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1572 − 1322 = 24,649 − 17,424 = 7,225 units Which statement best explains whether Lara's step is correct or incorrect?
132^2 + b^2 = 157^2
17424 + b^2 = 24,649
b^2 = 24,649 - 17424
b^2 = 7225
b = square root 7225
b = 85 <== the missing leg is 85 units
Lauras step is correct...she rearranged the formula making it :
b^2 = c^2 - a^2.....and subbed in numbers correctly. She just didn't finish
What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k? 16 must be factored from 18x + 14 x must be factored from 6x2 + 18x 6 must be factored from 6x2 + 14 6 must be factored from 6x2 + 18x
Option D, 6 must be factored from
To find : The given equation in the form
Now, we re-write the given equation
To covert it into vertex form where (h,k) represents the vertex.
First step is to take 6 common from
Now, further step is by completing the square,
The required form is
Therefore, Option D is correct, 6 must be factored from
Then the answer is 10,076x.
When solving negative one over three.(x − 15) = −4, what is the correct sequence of operations? Multiply each side by negative one over three , subtract 15 from each side Multiply each side by −3, add 15 to each side Multiply each side by negative one over three , add 15 to each side Multiply each side by 3, subtract 15 from each side
Multiply each side by negative one over five , add 25 to each side.
Unit 2 | Lesson 10 Lesson Assessment: Core Focus: Problem Solving with Equations Quiz Question Navigator Choose the answer. 1. Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted. Which expression represents the total number of pounds Drew lifted? Let m represent the weight of the boxes that Marco lifted. A. m − 8 B. 14(m − 8) C. 9(m + 8) D. 112m Question Resources
m represent the weight of the boxes that Marco lifted.
d represent the weight of the boxes that Drew lifted.
The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted:
d = m - 8
So the weight of one box that Drew lifted is (m - 8). Since he lifted boxes, the total number of pounds Drew lifted is 14(m - 8)
This means that you have to check if the results meet the original requirements or statements.
Ideally, you should try to solve the same problem by a second method, and/or you should substitute the results into the given relationships given in the problem statement to chek coherence of your results.
Then the answer is option b.
Problem-solving activity includes
1.Understanding the problem,that is nature of the problem, then Completely define in your own way.
2. Determining why this problem has accrued,
3. Identifying the ways to solve the problem,
4. Prioritizing the given alternatives that is ways and then arranging the alternatives for a solution,
5. Then applying the best solution or arrangement for the given problem.
There are two ways considered for problem-solving activity
(1). Trial and Error (2) Reduction in steps
It totally depends on the kind of problem , which you are solving. There may be Less than five alternatives ,equal to five alternatives or more than five alternatives to solve the problem.
Option B: False