Answer:
The exact value of
sin
(
30
)
sin(30) is
1
2
12.
15
⋅
1
2
15⋅12
Combine
15
15 and
1
2
12.
15
2
152
The result can be shown in multiple forms.
Exact Form:
15
2
152
Decimal Form:
7.5
7.5
Mixed Number Form:
7
1
2
712
Step-by-step explanation:
By apply the distributive property of multiplication, the value of k which makes the statement true is 1.
<h3>What is the
distribution property?</h3>
Mathematically, the distributive property of multiplication is given by tis expression:
x(y + z) = xy + xz.
Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:
k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸
Dividing both sides by the common factor, we have:
k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)
k = 1.
In conclusion, the value of k which makes the statement true is 1.
Read more on distributive property here; brainly.com/question/2807928
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<u>Complete Question:</u>
What value of k makes the statement true?
y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸
Step-by-step explanation:
43=0.34x+19.5
=> 0.34x+19.5 = 43
=> 0.34x = 43 - 19.5
= 23.5

=> x = <u>69.117</u><u> </u><u>(</u><u>Ans</u><u>)</u>
Answer:
The answer to your question is a) y = 1.5x - 6
b) y = -4x + 6.1
c) Point (2.2, -2.7)
Step-by-step explanation:
First line Second line
P (0, -6) Q (1, -4.5) R (0, 6.1) S (1, 2.1)
m = (-4.5 + 6) / (1 - 0) m = (2.1 - 6.1) / (1 - 0)
m = 1.5 / 1 m = -4/1
m = 1.5 m = -4
Line Line
y - y1 = m(x - x1) y - 6.1 = -4(x - 0)
y + 6 = 1.5(x) y - 6.1 = -4x
y = 1.5x - 6 y = -4x + 6.1
Solve the system by equality
1.5x - 6 = -4x + 6.1
1.5x + 4x = 6.1 + 6
5.5x = 12.1
x = 12.1 / 5.5
x = 2.2
Find y
y = 1.5(2.2) - 6
y = 3.3 - 6
y = -2.7
Point (2.2, -2.7)
The number of minutes that the students have studied d