4x - 5y = -15
y = -3x + 22
Plug in your y= equation into the y variable in the other equation
4x - 5 (y) = -15
^^
y = (-3x + 22) = -15
4x - 5 (-3x + 22) = -15
Distribute
4x + 15x - 110 = -15
Combine like terms and add 110 over to -15
19x = 95
Then, divide the whole equation by 19
x = 5
Then, plug in your x into your y= equation
y = -3 (5) + 22
y = -15 + 22
y = 7
<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
The volume of a piece of the cake will be 588.75 cm³.
The complete question is attached below.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A birthday cake in the shape of the right-circular cylinder of radius 15 cm and thickness 10 cm is cut into smaller pieces.
One of the piece is shown.
Then the volume of piece of the cake will be
V = (30 / 360) x π x 15² × 10
V = 588.75 cm³
More about the geometry link is given below.
brainly.com/question/7558603
#SPJ1
Answer:
the sum of 2 consecutive even integers is 66.
Step-by-step explanation:
This means that if one integers is x, the other must be either x-2 or x+2. Therefore, we can write 6=x+(×-2)=2×2. Solving for x, we can find ×=34. this means that the other integer is 34-2=32. indeed, 32+34=66, and done hope this helped C:
Answer:
9
Step-by-step explanation:
The first simplification we can make is to replace 6^0 with 1.
The first rules of exponents we can apply are ...
<em>(a·b)^c = a^c·b^c</em> . . . . . . similar to the distributive property
<em> (a^b)^c = a^(b·c)</em>
This reduces your expression to ...

Now we can apply another two rules of exponents:
<em> (a^b)(a^c) = a^(b+c)</em>
<em> 1/a^b = a^-b</em>
Using these, we have ...

The value of the expression is 9.