Answer:
<h2>x² = -3</h2>
Step-by-step explanation:
In algebra, the goal is always to isolate the variable, so its value can be determined.
<h3>Step 1: Subtract 21</h3>
7x² = -21
<h3>Step 2: Divide by 7</h3>
x² = -3
<h3>Step 3: Check</h3>
7(-3) + 21 = 0
0 = 0 ✔
<h3>Step 4: Answer</h3>
x² = -3
I'm always happy to help :)
Answer:
-37/5= y
x=11/5
Step-by-step explanation:
4x-3y=31
-3y=-4x+31 regroup it to match the other
-2 y=(2x-3)(-2) multiply by -2 to get -4x
-3y=-4x+31
-2y=-4x+6 adding
-5y=37 divide
-37/5= y
4x-3(-37/5)=31
x=11/5
A term is a number or variable in a math sentence (such as an expression or equation).
Example:
a + 2b + c + 5
5 is a constant; a,b, c are all variables.
1. The area of one face of the bar is
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2
Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection
2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2
Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2
Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2
Answer:
0.51
Step-by-step explanation:
Mathematically, for two individual events;
P(AnB) = P(A) * P(B)
P(A n B) = 0.6 * 0.85 = 0.51