The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.
<h3>What is an equation?</h3>
An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
The equation is given as:
-5x + 8y = -21
3x - 4y = 15
Multiply equation i by 3
Multiply equation ii by 5
-15x + 24y = -63
15x - 20y = 75
Add both equations
4y = 12
Divide
y = 12/4
y = 3
From 3x - 4y = 15
3x - 4(3) = 15
3x - 12 = 15
Collect like terms
3x = 12 + 15
3x = 27
Divide
x = 27/3
x = 9
Therefore, x = 9 and y = 4.
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<span>If R = 6 cm, then
circumference = 2</span>πR = 2 × 6 × π = 12π cm
Answer:
It is 0.
Step-by-step explanation:
The question is asking you what number represents sea level, not how higher the plane is from the airport. Sea level is represented by 0.
In point slope form, the equation is y-7=(-10/3)(x+9). In slope-intercept form, it is y=(-10/3)x-23.
First find the slope of the line. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)
Using our points, we have
m=(-3-7)/(-6--9) = -10/3
Plug this into point slope form:
y-y₁=m(x-x₁)
y-7=(-10/3)(x--9)
y-7=(-10/3)(x+9)
Using the distributive property:
y-7=(-10/3)*x+(-10/3)*9
y-7=(-10/3)x-90/3
y-7=(-10/3)x-30
Add 7 to both sides:
y=(-10/3)x-23
Answer:
h = 21.5cm.
Step-by-step explanation:
<em>Step one:</em> Simplify the volume.
220.16 x (pi) = 691.65cm^3.
<em>Step two:</em> Isolate h.
Cylinder volume equation: V = (pi)(r^2)(h), where r is the radius and h is the height.
Divide out the pi and r^2 on both sides to isolate h and move the equation to V/(pi)(r^2) = h.
<em>Step three:</em> Solve for h.
691.65/(pi)(3.2^2) = 21.5cm rounded to the nearest tenths place.
To illustrate this, please check the diagram below.
