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3 years ago

Write the value of c that makes x^2+12x+c a perfect square trinomial.

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer:

c = 36

Step-by-step explanation:

Use the formula (b/2)^2 to solve for the max or min.

ax^2 + bx + c

b = 12

(12/2)^2

6^2 = 36

You can check you work

y = x^2 + 12x + 36

y = (x + 6) (x + 6) It works!

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The first term in a sequence is 3<br> The term-to-term rule is + 8<br> What is the 5th term?

galben [10]

2nd term: 3+8
= 11
3rd term: 11+8
= 19
4th term: 19+8
= 27
5th term: 27+8
= 35

OR
((n-1)x8)+3

7 0

3 years ago

Given the equation y=x^2-12x-5, convert to vertex form, then give the value of k

marishachu [46]

the answer os 5xx entendida

6 0

3 years ago

Solve for r. 17.4=3r. R=?

Bumek [7]

Answer:

r=5.8

Step-by-step explanation:

Just do 17.4 divided by 3

And you get R

Hope this helps!

6 0

3 years ago

Determine which equation is parallel to the line JK and which is perpendicular to like JK

sattari [20]

Answer:

If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and $y = - \frac{1}{m}x + b$ will be perpendicular to that.

Step-by-step explanation:

Let us assume that the line JK has the equation in slope-intercept form as

y = mx + c ............. (1)

Therefore, the equation has slope = m

Now, any straight line having an equation with slope m will be parallel to line JK.

So, the equation of the straight line which is parallel to equation (1) will be

y = mx + c', where, c' is any real constant.

Now, let us assume that another straight line having equation

y = nx + a is perpendicular to the line JK i.e. equation (1).

Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.

So, mn = - 1

⇒ $n = - \frac{1}{m}$

Therefore, the equation of a straight line which is perpendicular to equation (1) will be $y = - \frac{1}{m}x + b$ where b is any real constant. (Answer)

3 0

3 years ago

Read 2 more answers

Angeline bought s yards of satin fabric priced at $8. 09 per yard, and c yards of cotton fabric priced at $3. 79 per yard. Use a

kow [346]

Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:

Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:

We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77

5 0

3 years ago