All categories

3 years ago

Question 1 (Essay Worth 10 points)

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

7 0

Answer:

A. 7n+6

B Three times the quantity of a number plus eight

Step-by-step explanation:

A more than means it comes after

7 times a number

6 more than

7n+6

B 3( n+8)

Three times the quantity of a number plus eight

You might be interested in

Passes through (-1,4) and has a slope of 4

olya-2409 [2.1K]

Answer:

y-4=4(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

m=4

y-4=4(x-(-1))

y-4=4(x+1)

8 0

3 years ago

Read 2 more answers

Which equation represents the hyperbola in general form?

valina [46]

ANSWER

$9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0$

EXPLANATION

The standard equation of the hyperbola is

$\frac{ {(y - 2)}^{2} }{4} - \frac{ {(x - 2)}^{2} }{9} = 1$

We multiply through by 36 to obtain:

$9 {(y - 2)}^{2} - 4( {x - 2)}^{2} = 36$

We now expand to get,

$9( {y}^{2} - 4y + 4) - 4( {x}^{2} - 4x + 4) = 36$

Expand :

$9 {y}^{2} - 36y + 36 - 4 {x}^{2} + 16x - 16 = 36$

To get the general form, we equate everything to zero to get,

$9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0$

The correct choice is D.

7 0

3 years ago

Solve for y in terms of x.

krek1111 [17]

<u>Answer:</u>

$y=\frac{3}{2} x+6$

<u>Step-by-step explanation:</u>

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

$\frac{2}{3} y-4=x$

Taking the constant 4 to the side where x is to get:

$\frac{2}{3} y=x+4$

Multiplying the denominator 3 to the other side of the equation to get:

$2y=3x+12$

Isolating y to make it the subject:

$y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6$

3 0

3 years ago

Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3

Nady [450]

Answer:

m∠3 = 105°

Step-by-step explanation:

Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.

m∠3 + m∠6 = 180° [Consecutive interior angles]

Since, ∠6 = 75° [Given]

m∠3 + 75° = 180°

m∠3 = 180 - 75

= 105°

Therefore, measure of ∠3 is 105°.

5 0

3 years ago

What is the value of m in the equation 1/2m-3/4n when n = 8?

kirill [66]

Answer:

$-\frac{1}{32}$

Step-by-step explanation:

$n = 8\\1/2(8) - 3/4(8) = 1/16-3/32$

Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.

$\frac{1}{16} *\frac{2}{2} =\frac{2}{32}$

Then, subtract

$\frac{2}{32} -\frac{3}{32} = \frac{2-3}{32} =- \frac{1}{32}$

3 0

3 years ago