All categories

2 years ago

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39)

2 answers:

4 0

To solve this problem you must apply the proccedure shown below:

1. The vertex i at (0, 36) and a focus at (0, 39), then you have:

a=36
a^2=1296

2. The directrix is:

y=a^2=c
c=39
y=1296/39
y=432/13

Therefore, the answer is the option D, which is: D. y=± 432/13

solniwko [45]2 years ago

4 0

Answer:

D. y=± 432/13

Step-by-step explanation:

You might be interested in

Given the frequency table, what percentage of the students in grades 9–10 like country music? Round to the nearest whole percent

motikmotik

Answer:

b: 44%

Step-by-step explanation:

From grades 9-10 there are 55 students who like country music.

While there are 125 grades 9-10 students in total.

This gives us a percentage of (55/125) *100% = 44%

8 0

2 years ago

Read 2 more answers

Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the

Anastaziya [24]

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys $1\frac{1}{2}$ pounds of flour, 12 ounces of coconut, and $1\frac{1}{4}$ pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = $\frac{3}{4}$ pounds

He buys $\frac{3}{4}$ pounds of coconut.

Adding all of them together yields:

$1\frac{1}{2}$ + $\frac{3}{4}$ + $1\frac{1}{4}$ = $3\frac{1}{2}$ pounds

Let us also convert to ounces:

$3\frac{1}{2}$ / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is $3\frac{1}{2}$ pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

4 0

2 years ago

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x? StartRoot 1 plus-or-minus StartRoot 159 En

castortr0y [4]

For this case we have that a quadratic equation is of the form:

$ax ^ 2 + bx + c = 0$

The roots are given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

We have the following equation:

$4x ^ 2-3x + 9 = 2x + 1\\4x ^ 2-3x-2x + 9-1 = 0\\4x ^ 2-5x + 8 = 0$

We look for the roots:

$x = \frac {- (- 5) \pm \sqrt {(- 5) ^ 2-4 (4) (8)}} {2 (4)}\\x = \frac {5 \pm \sqrt {25-128}} {8}\\x = \frac {5 \pm \sqrt {-103}} {8}$

We have to:

$i ^ 2 = -1$

So:

$x = \frac {5 \pm \sqrt {103i ^ 2}} {8}\\x = \frac {5 \pm i \sqrt {103}} {8}$

We have two imaginary roots:

$x_ {1} = \frac {5 \ + i \sqrt {103}} {8}\\x_ {2} = \frac {5 \ -i \sqrt {103}} {8}$

Answer:

$x_ {1} = \frac {5 \ + i \sqrt {103}} {8}\\x_ {2} = \frac {5 \ -i \sqrt {103}} {8}$

8 0

2 years ago

Read 2 more answers

Pete took a sample of moviegoers to see how many are seeing a comedy. Sample size: 175 Number seeing a comedy: 42 Population: 1,

Anastaziya [24]

Answer: Part A : c = n.p

Part B = 366 moviegoers

Step-by-step explanation: In part A, to predict the number of moviegoers, we have to find the proportion of the sample that does the activity, which will called p. Since p is a percentage, to determine how many moviegoers are seeing a comedy, you multiply it by the sample size, n.

Therefore: c = n.p

For part B, based on the the sample:

p = $\frac{42}{175}$ = 0.24

The total population is given: 1,525

c = 0.24.1,525

c = 366

Based on the sample, 366 people are seeing a comedy.

3 0

2 years ago

In each figure, a|| b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain

stellarik [79]

Answer should be:

b. No; it is a reflection followed by a translation.

Hope it helps.

4 0

2 years ago

Read 2 more answers