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faust18 [17]
2 years ago
11

I need all 4 help pls​

Mathematics
2 answers:
Neporo4naja [7]2 years ago
7 0

Answer:

the 1st point is (1,3)

I think the second point is (8,2.3

Step-by-step explanation:

slavikrds [6]2 years ago
3 0

Answer:

I dont know the answer wait ima get it right now

Step-by-step explanation

i do not know the answer

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A hyperbola centered at the origin has verticies at (add or subtract square root of 61,0 and foci at (add or subtract square roo
deff fn [24]

Answer:

\frac{x^2}{61}-\frac{y^2}{37}  =1

Step-by-step explanation:

The standard equation of a hyperbola is given by:

\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1

where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²

Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)

The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61

The foci is (h ± c, k) = (±√98, 0). Therefore c = √98

Hence:

c² = a² + b²

(√98)² = (√61)² + b²

98 = 61 + b²

b² = 37

b = √37

Hence the equation of the hyperbola is:

\frac{x^2}{61}-\frac{y^2}{37}  =1

6 0
3 years ago
Find the volume of the prism. Round to the nearest tenth if necessary.
Lubov Fominskaja [6]

Answer:

14.7 (Because you asked for no units)

Step-by-step explanation:

The volume of this triangular prism is 1/2 BHL

0.5 * 3.5 * 2 * 4.2 = 14.7 ft^3

3 0
1 year ago
Solve for x in the equation X^2 - 8X + 41= 0
BaLLatris [955]

Answer:

The equation has two solutions for x:

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

Step-by-step explanation:

Let's use the quadratic formula for solving for x in the equation:

X^2 - 8X + 41= 0

x² - 8x + 41 = 0

Let's recall that the quadratic formula is:

x = -b +/- (√b² - 4ac)/2a

Replacing with the real values, we have:

x = 8 +/-  (√-8² - 4 * 1 * 41)/2 * 1

x = 8 +/-  (√64 - 164)/2

x = 8 +/-  (√-100)/2

x = 8 +/-  (√-1 *100)/2

Let's recall that √-1 = i

x = 8 +/- 10i/2

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

8 0
3 years ago
What is the scientific notation for 0.0138
xxMikexx [17]

Answer:

1.38 * 10^ -2

Step-by-step explanation:

.0138

We need 1 number to the left of the decimal

1.38 * 10^ something

We moved it 2 places to the right, that means our exponent is -2.  If we had moved it to the left, our exponent would have been positive

1.38 * 10^ -2

8 0
3 years ago
Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets
Yuliya22 [10]

Answer:

\frac{1}{27}

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

\frac{1}{3} * \frac{1}{3} * \frac{1}{3}  = \frac{1}{27}

Finally, we see that the probability of all three balls landing in the same bucket is \frac{1}{27}

8 0
2 years ago
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