Answer:
Complete the square on x by adding <u>49</u> to both sides.
Complete the square on y by adding <u>81</u> to both sides.
Step-by-step explanation:
We have been given an equation . We are asked to complete the squares for both x and y.
We know to complete a square, we add the half the square of coefficient of x or y term.
Upon looking at our given equation, we can see that coefficient of x is 14 and coefficient of y is 18.
Now, we will add 49 to complete the x term square and 81 to complete y term square on both sides of our given equation as:
Applying the perfect square formula , we will get:
Therefore, We can complete the square on x by adding <u>49</u> to both sides and the square on y by adding <u>81</u> to both sides.
The expression that represents the product of negative three-fourths x and –8x is 6x^2
<h3>How to determine the equivalent expression?</h3>
The statement is given as:
the product of negative three-fourths x and –8x
Rewrite properly as:
-3x/4 * -8x
Divide 4 and 8 by 4
-3x * -2x
Multiply -3 and -2
6x * x
Multiply x and x
6x^2
Hence, the expression that represents the product of negative three-fourths x and –8x is 6x^2
Read more about expressions at:
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Answer:
The equation has a real solution which is:
Step-by-step explanation:
Given the equation
<u>Solving the equation</u>
Subtract 1/4 from both sides
Simplify
Subtract 4x from both sides
Simplify
Divide both sides by -2
Simplify
Therefore, the equation has a real solution which is:
<h3>PLEASE FIND THE ATTACHED PHOTOGRAPH FOR THE FIGURE.</h3><h2><u>SOLUTION:</u></h2>
- Given, BD bisects Angle ABC.
- So, Angle ABD = Angle CBD
- Measure of Angle ABD = 9x-7
- Measure of Angle CBD = 6x+2
- Therefore,
Angle ABD = Angle CBD
or, 9x-7 = 6x+2
or, 9x-6x = 2+7
or, 3x = 9
or, x = 9 ÷ 3
or, x = 3
- So, x = 3
- Measure of Angle ABC
= Measure of Angle ABD + Measure of Angle CBD
= [(9x-7)+(6x+2)]°
= [(9×3-7)+(6×3+2)]°
= [27-7+18+2]°
= 40°
<h2><u>ANSWER</u><u>:</u></h2>
x = 3
Measure of Angle ABC = 40°.
Hope it helps you.