Answer:
x=5 y=-6
Step-by-step explanation:
3x+y=9 ------eqn1
y=4-2x -------eqn2
using substitution
put y=4-2x into eqn1
3x+4-2x=9
x=5
put x=5 into eqn2
y=4-2(5)
y=4-10
y=-6
Answer:
Step-by-step explanation:
Given the expression:
To find:
The expression of above complex number in standard form 
.
Solution:
First of all, learn the concept of 
(pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by .
Value of 
.
Now, let us consider the given expression:
So, the given expression in standard form is .
Let us compare with standard form so we get 
.
The standard form of
is: 
The perimeter of a rectangle is <u>length + length + width + width</u>.
We know that the length of a rectangle is 3cm more than its width, which gives us the equation: (l for length and w for width)
l = 3 + w
We also know that the perimeter of the rectangle is 98cm, which gives us the equation:
98 = 2l + 2w (equation for perimeter of a rectangle as noted above)
We can divide both sides of this equation by 2 to get:
49 = l + w
Now we'll stick l = 3 + w into the above equation, which gives us:
49 = 3 + w + w
which simplifies to 49 = 3 + 2w.
Now we'll subtract 3 from both sides:
49 - 3 = 46
3 + 2w - 3 = 2w
which gives us 46 = 2w.
Dividing both sides by 2 gives us 23 = w.
Substituting w = 23 into the equation l = 3 + w gives us:
l = 3 + 23
l = 26cm.
Let's check our answer. 26cm is 3cm more than 23cm. 26cm + 26cm + 23cm + 23cm gives us 98cm. The length is 26cm and the width is 23cm.
Answer:x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
The value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.
<h3>What is percentage increase ?</h3>
Percentage increase is the amount added to the initial value in the percentage part.
The value of a plot of land which is increases 8% every year has the current value of $350000.
The final value owner wants is $570000. Shanna writes an exponential function of the form, to model the value,v, of the land in t years as,
Here, in this exponential function the value of a is fixed or initial term which is $350000 and the value of b is the constant term which is change factor. Here, the value of b is 8%.
b=8%
b=8/100
b=0.08
Thus, the value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.
Learn more about the percentage increase here;
brainly.com/question/2085058
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