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Nata [24]
4 years ago
15

Will mark brainliest!!!

Mathematics
1 answer:
gizmo_the_mogwai [7]4 years ago
7 0
First, simplify the equation to slope intercept form to find the slope;

2x+3y=4
3y=4-2x
y=(-2x+4)/3

The slopes of parallel lines are the same, therefore, the slope of the second line would also be -2/3

Write out the slope intercept form with the information we know and input the coordinates of the point;

y=mx+c
-4=(-2/3)(1)+c
-4+(2/3)=c
(-12/3)+(2/3)=c
-10/3=c

Therefore, the final equation is y=-2/3x-10/3

Hope I helped :)
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Please help me with this!
Georgia [21]
\boxed {\boxed { \text {Discriminant = }b^2 - 4ac}}

Given that the equation is 3x² - 6x + 3 = 0

Discriminant = (-6)² - 4(3)(3) = 0

When the discriminant is 0, it means that there is one -real0number root,

Answer: one real-number root.
8 0
3 years ago
Expand the following using the Binomial Theorem and Pascal’s triangle (2x − 3y)^4
krok68 [10]

Answer:

Step-by-step explanation:

Binomial Expansion:

(2x-3y)^4 \\\\= 4C_0(2x)^4 (-3y)^0 + 4C_1(2x)^3 (-3y)^1 + 4C_2(2x)^2(-3y)^2 \\\\+ 4C_3(2x)^1 (-3y)^3 + 4C_4(2x)^0 (-3y)^4\\\\=16x^4 + 4(8x^3)(-3y) + 6(4x^2)(9y^2) + 4(2x)(-27y^3) + 81y^4\\\\=16x^4 - 96x^3y + 216x^2y^2-216xy^3 +81y^4

Pascal's Triangle:

  Zero row                        1

 First row                  1                 1

 Second row          1           2             1

 Third  row         1         3              3          1

 Fourth row    1       4            6           4          1

8 0
3 years ago
Find the length of a rectangle given that the perimeter is 32 feet and the length is 1 foot more than four times the width. I ge
kap26 [50]

Answer:

Length = 13

Step-by-step explanation:

P = 2L + 2W

L = 4W + 1

P = 32

32 = 2(4W +1)  + 2W

32 = 8W + 2 + 2W

30 = 10W

W = 3

L = 4(3) + 1

L = 12 + 1

L = 13

6 0
3 years ago
What is this answer?? The answer I have is wrong??
Paraphin [41]
Maybe you got the answer wrong because you didn't put the in cm cubed?
5 0
4 years ago
Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.
Andreyy89

Answer:

A) Cost is the dependent variable

B) $75.00

Step-by-step explanation:

We are given the following information in the question:

Cost of renting a snowmobile for 5 hours = $37.50

a)

If c represents the cost and h represents the hours. then cost is the dependent variable as it depends upon the number of hours for which the snowmobile is rented.

b)

Cost of renting a snowmobile for 1 hour =

\displaystyle\frac{\text{Cost for 5 hours}}{\text{Number of hours}} = \frac{37.5}{5} = \$7.5

Cost of renting 2 snowmobiles for 5 hours =

\text{Cost of renting a snowmobile for 5 hours }\times 2 = 37.5\times 2 = \$75

3 0
3 years ago
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