Answer:
Solution of the equations is (1, -2).
Step-by-step explanation:
Two linear equations given in the question are
y = -3x+1-------------(1)
and y = 2x-4 ------------(2)
To solve these equations by substitution method we will substitute the value of y from equation (1) to equation number (2).
-3x+1 = 2x-4
Now we add 3x on both the sides of the equation
3x-3x+1 = 3x+2x-4
1 = 5x-4
we will add 4 on both the sides
1+4 = 5x-4+4
5 = 5x
Then we divide the equation by 5
5/5 = 5x/5
x = 5/5 = 1
Now we solve the equation (1) for the value of y by putting x = 1
y = -3(1)+1 = -3+1 = (-2)
So the solution will be (1 -2).
Answer:
The area of rectangle is 98 ft.sq.
Step-by-step explanation:
We are given one length of a rectangular garden lies along a patio wall.
Let the width of garden be x
Length of garden = Twice its width=2x
Length garden enclosed by fencing =l+2b=2x+2x= 4x
We are given that the rest of the garden is enclosed by 28 feet of fencing.
So,4x=28
x=7
Width of garden = 7 feet
length of garden = 2x=2(7)=14 feet
Area of garden = 
Hence The area of rectangle is 98 ft.sq.
<h2><u>
Answer:</u></h2>
The <u>algebraic expressions</u> are composed of several elements: Terms, Coefficients, Signs, Variables and Exponents. In this case we will focus on the first two.
<u>The terms</u> are composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).
For example, in the following expression:
2x-3x
We have two terms separated by the negative sign (-):
2x is the first term
-3x is the second term
Now, <u>the coefficients</u> are the numbers that multiply the variable. <u>Note that if this coefficient is one (1) it is omitted
.</u>
For example in the following expression, the variable is x:
2x-3x+x
2 is the coefficient of x in the first term
-3 is the coefficient of x in the second term
1 is the coefficient of x in the third term, <u>but is omitted
</u>
In order to understand this in a better way, see the figure attached, where the algebraic expression is composed by one term.
Answer:
1370 feet (3 sf)
Step-by-step explanation:
(210)²×sin(2×45)/32.2
1369.565217
Answer:
-3.392
Step-by-step explanation:
2.34
1.052
+_____
= 3.392