Hello!! Lets do this step by step! :)
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>=<span>−4</span></span>;<span><span>4x</span>=<span><span>3y</span>+14</span></span></span> <span><span><span>
<span /></span><span /></span><span /></span>To first get x:
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>+<span>−<span>8y</span></span></span>=<span><span>−4</span>+<span>−<span>8y </span></span></span></span>we are ganna add -8y to both sides
<span><span>−<span>4x</span></span>=<span><span>−<span>8y</span></span>−4</span></span><span><span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4 </span></span></span>we are ganna divide both sides by -4
<span>x=<span><span>2y</span>+1</span></span>
next just substitute <span><span>2y</span>+1</span> for x in<span><span><span> 4x</span>=<span><span>3y</span>+14</span></span>:</span><span><span>4x</span>=<span><span>3y</span>+14</span></span><span><span>4<span>(<span><span>2y</span>+1</span>)</span></span>=<span><span>3y</span>+14</span></span><span><span><span>8y</span>+4</span>=<span><span>3y</span>+14</span></span><span><span><span><span>8y</span>+4</span>+<span>−<span>3y</span></span></span>=<span><span><span>3y</span>+14</span>+<span>−<span>3y</span></span></span></span>
we are ganna add -3y to both sides <span><span><span>5y</span>+4</span>=14</span><span><span><span><span>5y</span>+4</span>+<span>−4</span></span>=<span>14+<span>−4</span></span></span>
we are ganna add -4 to both sides <span><span>5y</span>=10</span><span><span><span>5y</span>5</span>=<span>105</span></span>
now we are ganna divide both sides by 5 <span>y=2</span>substitute 2 for y in<span><span> x=<span><span>2y</span>+1</span></span>:</span><span>x=<span><span>2y</span>+1</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+1</span></span><span>x=5</span>
And we get our answer!
x=5
y=2
Hope that helps! If you have any other questions or need further explanation just let me know! :)
(2^3)^-5 = 2^(3 x -5) = 2^-15 = 1/2^15
Answer:
?
Step-by-step explanation:
Answer:
-1/5
Step-by-step explanation:
We know that a^b * a^c = a^(b+c)
(−5)^5(−5)^−6
(-5) ^(5+-6)
(-5)^-1
We know that a^-b = 1/a^b
1/(-5)^1
1/-5
-1/5
Answer:
1. 70.
2. 29.
3. 442.5
4. 289.
5. 632.
Step-by-step explanation:
The key to doing these is to split the polygons into rectangles, triangles or trapezoids as appropriate.
For example, number 1 consists of a rectangle area 8 * 8 and another of 3* 2.
So the area = 64 + 6 = 70 unit^2.
2. The area = sum of 3 rectangles 1*1 + 4*6 + 2*2.
3. Area = 11*15 + 11*15 + 1/2*15*15
4. Area = 18*12 + 1/2 * 6 * 15 + 1/2 * 7 * 8.
5. Area = area of 2 rectangles + area of a trapezoid.
= 18 * 24 + 4*10 + 1/2(12 + 20) * 10.
