All categories

3 years ago

Which equation represents a line which is parallel ... (See the picture)

Mathematics

1 answer:

ankoles [38]3 years ago

3 0

Answer: [C]: " 7x − 4y = 4 " .
_________________________________________________________
Explanation:
_________________________________________________________
We are given the following equation:
_________________________________________________________
" y = (7/4) x − 3 " ; which is in "slope-intercept form"; that is:

"y = mx + b " ; in which "m" = the slope = "(7/4)" .
_________________________________________________________
Among the answer choices given,
________________________________
Answer choice: [C]: " 7x − 4y = 4 " ; is the only answer choice given which, when written in "slope-intercept form" ; that is: "y = mx + b" ; has a slope of "m = (7/4)". Specifically, when the given equation in answer choice [C]:
_________________________________________
" 7x − 4y = 4" ; is written in "slope-intercept form;
_________________________________________
we get: -4y + 7x = 4;

-4y = 4 -7x = -7x +4;

-4y = -7x + 4 ;

Now, divide EACH side of the equation by "-4" ;
_________________________________________
-4y / -4 = (-7x + 4) / -4 ;
_________________________________________
To get:
_________________________________________
y = (7/4) x + 1 ; and since the slope, "m = (7/4) is the same slope as the original equation, that this line (in answer choice 'C' is PARALLEL to the line in the original equation given.
______________________________________________

You might be interested in

A rock concert promoter has scheduled an outdoor concert on July 4th. If it does not rain, the promoter will make $30,000. If it

Cerrena [4.2K]

Answer:

Their expected profit is $12,000. I'd say it's reasonable, because the event wouldn't have been organized if the profit is expected to be negative.

The insurance company should charge $6,000.

Step-by-step explanation:

(a) 30,000 × .6 + (-15,000) × .4 = 12,000.

(b) 15,000 × .4 = 6,000.

7 0

4 years ago

Read 2 more answers

Question 9 (3 points)

Mila [183]

From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last names.

---------------------

The dot plot states that:

2 students have 4 vowels in their first and last name.
3 students have 5 vowels.
8 students have 6 vowels.
9 students have 7 vowels.

Then:

Total of 2 + 3 + 8 + 9 = 22 students.
3 + 8 + 9 = 20 have or more vowels.

$p = \frac{20}{22} \times 100\% = 90.91\%$

90.91% of the students have 5 or more vowels in their first and last names.

A similar problem is given at brainly.com/question/14354536

5 0

3 years ago

The product of two consecutive even integers is 840 find these numbers

musickatia [10]

Integers are 2n and 2n +2
2n * (2n + 2) = 840
4n^2 + 4n -840 = 0
Solving by quadratic formula:
n = 14 and n+2 = 16
Therefore the integers (2*n and 2*n+2) are
28 and 30

check:
28 * 30 = 840

7 0

4 years ago

Can someone please help me

Basile [38]

Answer:

question 1: the lower left hand graph represents that equation.

question 2: a+b = 180°

question 3: a = b

question 4: a + b = 90°

question 5: a + b = 90°

3 0

3 years ago

Help please this is also confusing

yanalaym [24]

Answer:

6-r

7-t

8-m

9-a

Hope this helps plz mark me s brainliest for both questions

8 0

3 years ago