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AleksandrR [38]
3 years ago
12

Which of the following statements is true about the graph of the equation 2y-3x=-4 in the xy-plane? Explain step by step how you

achieved your answer.
A) It has a negative slope and a positive y-intercept.
B) It has a negative slope and a negative y-intercept.
C) It has a positive slope and a positive y-intercept.
D) It has a positive slope and a negative y-intercept.
Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

D. It has a positive slope and negative y- intercept.

Step-by-step explanation:

2y -3x = -4

We can rewrite the equation in the form of y = mx+ b where m is the slope and b is the y - intercept as,

2y = 3x- 4

Dividing all the terms by 2, we will get,

2y/2 = 3x/2 - 4/2

y = (3/2)x -2

So the slope is 3/2 which is positive and y-intercept is -2 which is negative.

You might be interested in
Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9
Alja [10]

Answer:

\frac{5}{9}

Step-by-step explanation:

Using the rules of exponents/ radicals

a^{\frac{m}{n} } ⇔ \sqrt[n]{a^{m} } , a^{0} = 1

a^{-m} = \frac{1}{a^{m} }

Given

27^{-\frac{2}{3} } × 25^{\frac{1}{2} } × 5^{0}

= \frac{1}{27^{\frac{2}{3} } } × \sqrt{25} × 1

= \frac{1}{9} × 5 × 1

=\frac{5}{9}

7 0
3 years ago
What’s the answer to this question?
jeka57 [31]

Answer:

x=9

adjacent angles

Step-by-step explanation:

we can set up an equation because if we add these angles, we will get our 90 degree angle,

(4x+6)+(5x+3)=90   lets solve for x, first add like terms,

9x+9=90,   subtract 9 from both sides,         9x+9-9=90-9,      9x=81

divide both sides by 9 and we get 9, so x=9

These are adjacent angles because adjacent angles are angles that are right next to each other. They can form a bigger angle because they are right next to each other

3 0
2 years ago
Expand and simply (x + 3) (x + 5)
kifflom [539]
Here’s the answer :)

4 0
3 years ago
Which value of x is different from the others?
vlada-n [284]

Answer:

d

Step-by-step explanation:

5x + 4 = -6

5x= -6-4

5x=-10

x=-2

The value of the first expression is x=-2.

x/2 + 3 = 2

x/2 = 2-3

x/2 = -1

x=-2

The value of the second expression is x=-2.

2x+14=10

2x=-4

x=-2

The value of the third expression is x=-2.

-2=-x

2=x

The value of the fourth expression is x=2.

4 0
3 years ago
What is the difference of the polynomials [m²n²-7]-(mn+4)
AleksAgata [21]
You can do addition and substraction operations with polynomials similarly as with simple real numbers.


First of all you have to open brackets and then you can add numbers (-7-4=-11). Then the result is following:
(m^2n^2-7)-(mn+4) =m^2n^2-7-mn-4=m^2n^2-mn-11
5 0
3 years ago
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