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TiliK225 [7]
3 years ago
13

This is not a multiple choice question. Please help!

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0
Complentary angle = 90 degrees
 
90 - 16 = your answer
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Absolute Value is always positive.<br><br> True<br> False
kramer

Answer: False

Step-by-step explanation: Absolute value means <em>distance from zero</em> on a number line. A common mistake is to assume that absolute value is always positive but that's not necessarily the case.

Take 0 for example.

It's 0 units away from zero on a number line which

means it has an absolute value of zero.

However, all other numbers besides zero will have

an absolute value that is positive.

5 0
3 years ago
How many<br> roots does the relation y = 4x² - 20x + 25 have? (2 marks)
Dovator [93]

Answer:

it has one root x=2/5

Step-by-step explanation:

7 0
2 years ago
X^2 + Y^2 +ax + 2y + 3 = 0<br><br> What number is this equation the equation of a circle?
Sav [38]

Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

Radius: r=0.5×sqrt(a²-8)

Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
3 years ago
Whats 195÷13 using base-ten blocks????
Mekhanik [1.2K]
I'm pretty sure the answer is 15 base-ten blocks
5 0
3 years ago
Read 2 more answers
I need help with these questions ( see image for question ).<br>Please show working.<br>​
antiseptic1488 [7]

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
5 0
2 years ago
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