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yulyashka [42]
3 years ago
9

I need help with these questions ( see image for question ).Please show working.​

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

  • k = -4 ± 2√5

Step-by-step explanation:

#22

<h3>Given </h3>
  • Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
  • The value of k
<h3>Solution</h3>

<u>The equation in standard form is:</u>

  • x² -4x + 1 = k(x - 4)
  • x² - 4x - kx + 1 + 4 = 0
  • x² - (k + 4)x + 5 = 0

<u>When the quadratic equation has equal roots its discriminant is zero</u>

  • D = 0
  • b² - 4ac = 0
  • (k + 4)² - 4*5 = 0
  • (k + 4)² = 20
  • k + 4 = ± √20
  • k = - 4 ± √20
  • or
  • k = -4 ± 2√5
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What is the product of -3/8 + -4/12 simplfy your answer
Snezhnost [94]

Answer:

-\frac{17}{24}

Step-by-step explanation:

First we need to find the common denominator of 8 and 12, which is 24.

Next we rewrite our fractions:

-\frac{9}{24} - \frac{8}{24} = -\frac{17}{24}

This cannot be reduced.


4 0
4 years ago
Circular area rugs are priced at $5 per foot based on the circumference of the carpet used. What is the cost of the largest circ
ryzh [129]

Answer: 110

Step-by-step explanation:

We first need to find the maximum perimeter of the circular area rug that will fit in the rectangular space. We use the shortest side of the rectangle as the diameter of the rug.

A circle drawn inside a rectangle.

A rectangle has a length of 12 feet and a height of 7 feet. A circle is drawn inside in the center of the rectangle with a line labeled Diameter extending from the top most point of the circle to the bottom most point of the circle.

P=2πr=2π×72=21.9911 ft

We then multiply the perimeter of the rug by the cost per foot.

cost =21.9911×5=$109.9555

Rounded to the nearest whole number, the cost of the maximum circumference circular rug that can fit in the dining room is 110 dollars.

3 0
4 years ago
Solve for y. You must write your answer in fully simplified form.<br><br> -12 = -5y
MArishka [77]

Answer:

Y= 12/5

Step-by-step explanation:

-12= -5y

-12/-5=y

3 0
3 years ago
Which decimal is equivalent to \dfrac{4}{3} 3 4 ​ start fraction, 4, divided by, 3, end fraction? Choose 1 answer: Choose 1 answ
Otrada [13]

Answer:

The correct option is option D.

Step-by-step explanation:

Any fraction number \frac mn (m>n ) can be written as a\frac bn

where a = quotient

b= reminder.

Given number is \frac{4}{3}.

3)4( 1 ← quotient

- 3

____

   1 ← reminder

Here quotient= 1,  reminder=1 and n=3

\therefore \frac43=1\frac13.

7 0
3 years ago
Pls help me and I’ll give brainliest
natima [27]

Answer:

-2

Step-by-step explanation:

do you need an walk through?

8 0
3 years ago
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