Answer:
6 mm
Step-by-step explanation:
Use the Pythagorean Theorem to solve for the unknown leg

Since we need to solve for a, we will manipulate the equation in terms of b and c → 
Here, b = 7 mm and c =
mm
Plugging these numbers into our equation gives us
→
=
= 6 mm
Answer:
A, B, and D
Step-by-step explanation:
To subtract like terms, you're supposed to subtract the coefficients, so <u><em>Option 1 is correct</em></u>. The statement like terms are terms that contain the same variable, raised to the same power, is true, so <u><em>Option 2 is correct</em></u>. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and <u><em>Option 4 is correct</em></u>. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).
Hope this helps! I got it right on Edgen.
Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
Answer:
The surface area of the prism is equal to 72 sq inches.
Step-by-step explanation:
Given that,
A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2 inches.
The surface area of a rectangular prism is given by :

Put all the values,

So, the surface area of the prism is equal to 72 sq inches.