The expression would be 2.98 * 10 to the -7 power? Please tell me if I'm wrong.
Answer:
1,2 and 4 are equivalents. 3 is not equivalent
2P-I, mark that one :l
Step-by-step explanation:
Answer:
Hello this question is impossible ask your teacher or find if you didnt make any mistake copying this HW.
Step-by-step explanation:
You have 3x/5 red balls but next sentence is talking about that Yellow balls have to be in ratio 5:3 but it is impossible because Red balls + Yellow balls would make 6x/5 of balls which is not possible
The required measures of the angle are given as,
∠JKL = 72° ∠MLK = 108° ∠JMK = 36°
∠MJL = 54° ∠KNL = 90°
Given that.
The measure of the rhombus is given, we have to determine the measure of the angles,
<h3>What is angle?</h3>
orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as angle.
Here,
∠JKL= 2 × ∠JKM = 72°
∠MLK = 180 - 2 × ∠JKM = 108°
∠JMK = ∠JKM = 36°
∠MJL = ∠MLK/2 = 54°
The diagonal of the rhombus bisect each other at an angle of 90°
So,
∠KNL = 90°
Thus, all the measure of the angles is shown above.
Learn more about Angles here:
brainly.com/question/13954458
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Let <em>a</em> and <em>b</em> be the zeroes of <em>x</em>² + <em>kx</em> + 12 such that |<em>a</em> - <em>b</em>| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
<em>x</em>² + <em>kx</em> + 12 = (<em>x</em> - <em>a</em>) (<em>x</em> - <em>b</em>)
Expand the right side and equate the coefficients:
<em>x</em>² + <em>kx</em> + 12 = <em>x</em>² - (<em>a</em> + <em>b</em>) <em>x</em> + <em>ab</em>
Then
<em>a</em> + <em>b</em> = -<em>k</em>
<em>ab</em> = 12
The condition that |<em>a</em> - <em>b</em>| = 1 has two cases, so without loss of generality assume <em>a</em> > <em>b</em>, so that |<em>a</em> - <em>b</em>| = <em>a</em> - <em>b</em>.
Then if <em>a</em> - <em>b</em> = 1, we get <em>b</em> = <em>a</em> - 1. Substitute this into the equations above and solve for <em>k</em> :
<em>a</em> + (<em>a</em> - 1) = -<em>k</em> → 2<em>a</em> = 1 - <em>k</em> → <em>a</em> = (1 - <em>k</em>)/2
<em>a</em> (<em>a</em> - 1) = 12 → (1 - <em>k</em>)/2 • ((1 - <em>k</em>)/2 - 1) = 12
→ (1 - <em>k</em>)²/4 - (1 - <em>k</em>)/2 = 12
→ (1 - <em>k</em>)² - 2 (1 - <em>k</em>) = 48
→ (1 - 2<em>k</em> + <em>k</em>²) - 2 (1 - <em>k</em>) = 48
→ <em>k</em>² - 1 = 48
→ <em>k</em>² = 49
→ <em>k</em> = ± √(49) = ±7
