Area of the triangle is 17.5 and the area of the square is 6. So, 17.5-6=11.5
Your answer is 11.5
Answer:
Two dotted lines, one solid line
Step-by-step explanation:
The graph of the system of inequalities
![\left\{\begin{array}{l}y>12x-5\\y](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dy%3E12x-5%5C%5Cy%3C-4x%2B1%5C%5Cy%5Cge%20-23x%2B15%5Cend%7Barray%7D%5Cright.)
will have two dotted lines, one solid line.
To plot the solution set to the inequality with signs < or >, we need to plot the dotted line (because the points of this line are not the solutions to the inequality).
To plot the solution set to the inequality with signs ≤ or ≥, we need to plot the solidd line (because the points of this line are the solutions to the inequality).
The system above has two inequalities with signs < and > and one inequality with sign ≥, so there will be two dotted lines, one solid line.
Answer:
<em>Square= 12 units</em>
<em>Triangle long sides= 19 units</em>
<em>Triamgle short side= 10 units</em>
Step-by-step explanation:
<em>It is a square, so all sides are the same. That means 3x+3 equals 4x. What number can be subsituted into x to equal 4? If x is 3, then 3x+3 would be 3(3)+3. It equals 12. 4 times 3 is also 12. It works! That also means the square's side is 12 units.</em>
<em>Square= 12 units</em>
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<u><em>So, x=3</em></u>
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<em>The triangle's longer sides are 7x-2. Subsitute x in, which is 3, and you get 7(3)-2. It equals 19. The two longer sides of the triangle are the same length, so both are 19 units.</em>
<em>Triangle long sides= 19 units</em>
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<em>The triangles shorter side is 2x+4. Subsitute 3 in for x and you get 2(3)+4. It equals 10, so the shorter side is 10 units.</em>
<em>Triangle short side= 10 units</em>
Yes, because figure B can be obtained from figure A by a series of translations
✿ Domain is the Set of Values of x
⇒ Domain = { 10 , 15 , 19 , 32 }
✿ Range is the Set of Values of y (Images of x)
⇒ Range = { -1 , 5 , 9 }
First Option is the Answer