The solution to given system of equations is x = 2 and y = -5
<em><u>Solution:</u></em>
<em><u>Given the system of equations are:</u></em>
4x + y = 3 ---------- eqn 1
-2x + 3y = -19 ---------- eqn 2
We have to find the solution to above system of equations
<em><u>We can solve the system by substitution method</u></em>
From eqn 1,
4x + y = 3
Isolate y to one side
y = 3 - 4x ----------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
-2x + 3(3 - 4x) = -19
-2x + 9 - 12x = -19
Combine the like terms
-14x = -19 - 9
-14x = -28
Divide both sides of equation by -14
<h3>x = 2</h3>
<em><u>Substitute x = 2 in eqn 3</u></em>
y = 3 - 4(2)
y = 3 - 8
<h3>y = -5</h3>
Thus the solution is x = 2 and y = -5
Answer:
Step-by-step explanation:
We have been given a graph of similar triangles. We are asked to find the value of x.
Since we know that corresponding sides of similar triangles are always in same proportion, so we will use proportions to find the length of x.
Upon cross multiplying our equation we will get,
Upon distributing 4 we will get,
Let us subtract 12 from both sides of our equation.
Upon dividing both sides of our equation by 4 we will get,
Therefore, the value of x will be 12.
Answer:
Step-by-step explanation:
A.60/100=3/5
B.10-8=2
D.20/100=5
C.0.37=
E.5/6=0.83
Answer:
<h2>9.96</h2>
Step-by-step explanation:
If the data set represents the salaries of all seven employees at a small start-up company (expressed in thousands of dollars). 23, 25, 40, 45, 45, 23, 23 in thousands dollars with variance of 99.14, to get the standard deviation, the formula below will be applicable.
Variance = (standard deviation)²
substituting Variance = 99.14 into the equation we wil have;
99.14 = (standard deviation)²
taking the square root of both sides;
√99.14 = √(standard deviation)²
standard deviation = √99.14
standard deviation = 9.96
The standard deviation of the set of datas is 9.96
Answer:
A D E
Step-by-step explanation:
A) The formula for the area of a triangle is 
D) The base is 8 and the height is 14 so the area of the triangle is 56 meters squared.
E) Volume is 
meters cubed.
Have a nice day :)
