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Lelu [443]
3 years ago
14

Find the y-intercept and the x-intercept of the line 2x-4y=10

Mathematics
1 answer:
kompoz [17]3 years ago
4 0
Finding y intercept and x intercept is easy:

X intercept will be of the form (x,0) and y intercept will be of the form (0,y)

● If you put x=0 in the equation, you will get y-intercept.

● If you put y=0 in the equation, you will get x-intercept.
______________________________

Given equation: 2x - 4y = 10

◆ Put x = 0
2×0 - 4y = 10
=> -4y = 10
=> y = 10/(-4)
=> y = -5/2

Thus y intercept is (0, -5/2)

◆Put y = 0
2x - 4×0 = 10
=> 2x = 10
=> x = 10/2
=> x = 5

Thus the x intercept is (5,0)
You might be interested in
Write each polynomial in standard form. Identify the leading coefficient 10x-7+x4+4x3
JulijaS [17]
Polynomial in standard form:

x⁴ + 4x³ + 10x - 7

Leading coefficient:

1

How it should be written:

x⁴ + 4x³ + 10x - 7; 1
3 0
3 years ago
A garden has an area of 9 square meters. Each square is 1 square meter. What is the length of one side of this garden?
Llana [10]
The answer is 3, if it is in square meters it must be a square therefore each side is the same length
4 0
3 years ago
Number 1 and 2 please (25 points)
Elenna [48]

Answers:

1) (3x+2)+(4-5x)=-2x+6

(3+2i)+(4-5i)=7-3i

2) (1-3x)(2+x)=-3x^{2}-5x+2

(1-3i)+(2+i)=5-5i

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

<u>Addition: </u>

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example,  the addition of these two binomials is:

(3x+2)+(4-5x)=3x-5x+2+4=-2x+6

Similarly, the addition of two complex numbers is:

(3+2i)+(4-5i)=3+4+2i-5i=7-3i Here the complex part is the number with the i

<u>Multiplication: </u>

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that i^{2}=-1.

For example,  the multiplication of these two binomials is:

(1-3x)(2+x)=2+x-6x-3x^{2}=-3x^{2}-5x+2

Similarly, the multiplication of two complex numbers is:

(1-3i)+(2+i)=2+i-6i-3i^{2}=2-5i-3(-1)=5-5i

8 0
3 years ago
Find the function value f (6) if f(x) = 4x-10
Olenka [21]
So first you plug 6 into the equation which is 4(6)-10.
Using PEMDAS, you solve what’s in the parenthesis first and you get 24-10.
24-10=14
f(6)=14
8 0
3 years ago
What is the solution to 2x+5&gt;3x+1
frez [133]
   2x + 5 > 3x + 1
<u> - 2x        - 2x      </u>
           5 > x + 1
         <u>- 1        - 1</u>
           4 > x
           x < 4
7 0
3 years ago
Read 2 more answers
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