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alukav5142 [94]
3 years ago
13

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

Mathematics
2 answers:
kobusy [5.1K]3 years ago
8 0

Answer:

k² − 4k + 4

Step-by-step explanation:

recall the following property of perfect square quadratics

(a-b)² = a²- 2ab + b²  --------------( eq1)

We are given:

k² − 4k + ? --------------(eq 2)

and we are asked to determine ? for which the expression above is a perfect square.

Manipulating the given equation:

k² − 4k + ?  (factor out 2 from the 2nd term), we get:

k² −(2)(k)(2) + ?

now we compare this with the right side of  (eq1)

a²- 2 a b + b²

we can clearly see that a = k and b = 2,

substituting this back into eq 2,

k² − 4k + 2²

= k² − 4k + 4

Mrac [35]3 years ago
4 0

Answer:

4.

Step-by-step explanation:

Hope this helps!

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Answer:

\fbox {1) A}\\\fbox {2) A}

Step-by-step explanation:

<u>Q1</u>

⇒ Graph A is most accurate as the situation is linear and the dots indicate per cup as you can't have any rational part (such as 0.5 cups, etc.)

<u>Q2</u>

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3 0
2 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Daniel [21]
Answer: x = 11 degrees

Step by step explanation:
Triangle rule states that all angles of a trundle must equal to 180 degrees. So we have two known angles, therefore we can subtract them from the 180 degree total.
180-109-43
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6 0
3 years ago
Jack crawled 3 ft and Christine crawled 3⁄4 the distance Jack crawled. If you add the distance they each crawled together, what
LUCKY_DIMON [66]
Christine crawled:
3 ft* (3/4)= 2.25 ft.

3 ft+ 2.25 ft= 5.25 ft

We already know that 1 ft= 12 in.

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5 0
3 years ago
The sum of 4 consecutive odd numbers is 40.<br> What is the second number in this sequence?
Tcecarenko [31]

Answer:

7,9,11,13 = 40

Step-by-step explanation:

second number is 9

7 0
3 years ago
Read 2 more answers
HELP ME A.S.A.P. PLZZZZ
Ronch [10]

Answer:

A = 66.5 in²

Step-by-step explanation:

There are a few different equations to find the area of a rhombus.  If you are given the measurements of the two diagonals, you can use the following formula:  

Area (A) = \frac{d_{1}d_{2} }{2}

Using this formula, you can multiply the measures of the diagonals and then divide by 2:

area = \frac{(9.5)(14)}{2} =\frac{133}{2}=66.5in^{2}

7 0
3 years ago
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