Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.
The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
According to the question;
- the r-axis is the horizontal axis.
- the s-axis is the vertical axis.
Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).
- i.e s = 0
- the equation r⁴ + s² − r s = 16, then becomes;
- r⁴ = 16
- Therefore, r = ±2.
Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).
- i.e r = 0.
- the equation r⁴ + s² − r s = 16, then becomes;
- s² = 16.
- Therefore, s = ±4.
Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
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OK first change 3 3/4 to an improper fraction and that will give you 15/4. so you got that part right. Next, change the division sign to multiplication. then flip the 1/2 to 2/1. Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of 30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.
Answer:
expanded it would be 0.05 x 50 + 0.05 x 40
Step-by-step explanation:
Answer:
Step-by-step explanation:
u = 45
v = 30
Angle between them, θ = 5π / 6 = 150°
(a) The formula for the dot product is given by
(b) 
Let the angle between them is θ
The formula in terms of the dot product is given by
θ = 75°
(c) 
The computation shows that the value of the indices will be C. 4.2 × 10^5
<h3>How to calculate the value?</h3>
From the information given, the value will be:
= (7 × 10³) × (5.4 × 10⁴) / (9 × 10)²
It should be noted that in indices when it's multiplication, the powers will be added and subtracted when it's division.
Therefore,
.= (7 × 10³) × (5.4 × 10⁴) / (9 × 10)²
= 4.2 × 10^5
In conclusion, the correct option is C.
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