Which sentence contains a misplaced modifier?

A line passes through the point (2 comma negative 2 comma 10 ), and is parallel to the vector 9 Bold i plus 7 Bold j plus 10 Bo

lyudmila [28]

Title:

<h2>The standard parametric equation for the line is $\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}$ .</h2>

Step-by-step explanation:

The standard parametric equation for a line generally represented as $\frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}$ ; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.

It is given that the line passes through the point (2, -2, 10).

Hence, here (a, b, c) ≡ (2, -2, 10).

Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).

Putting all the values in the equation of the line, the equation becomes

$\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}$ .

3 0

3 years ago

Factor the expression completely I’ve the complex numbers X^4+10x^2+25

Elza [17]

We have

(a + b)² = a² + 2ab + b²

so that with a = x² and b = 5, we have

x⁴ + 10x² + 25 = (x² + 5)²

Next, we have

a² - b² = (a - b) (a + b)

so that with a = x and b = √5 i,

x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)

So, the complete factorization over the complexes is

(x - √5 i)² (x + √5 i)²

5 0

3 years ago

Define a variable and write and inequality to model "To qualify for the long-jump finals, I need to jump at least 14 ft."

kvv77 [185]

2 is the anwser ok? LAright?

5 0

3 years ago

Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)

o-na [289]

Option C: The solution set is $\{8\}$

Explanation:

The expression is $3 \ln 4=2 \ln x$

Now, let us find the solution set.

Switch sides, we get,

$2 \ln x=3 \ln 4$

Dividing by 2 on both sides, we have,

$\ln x=\frac{3 \ln 4}{2}$

Thus, $\ln 4=\ln 2^2=2\ln 2$

Hence, the above expression becomes,

$\ln x=\frac{3 \cdot 2 \ln (2)}{2}$

Simplifying, we get,

$\ln x=3 \ln 2$

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

$x=8$

Thus, the solution set is $\{8\}$

Hence, Option C is the correct answer.

5 0

3 years ago

3 movie tickets cost $48. At this rate, what is the cost of 15 movie tickets

Snowcat [4.5K]

Answer:

The total of the 15 tickets would be $240

Step-by-step explanation:

If you divide 48 and 3 you get 16 which is the cost for each ticket and then yuo multiply 16 by 15 and you get 240

3 0

3 years ago

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