-4 < - 13( a + 6) -1 7
2 answers:
Step-by-step explanation:
<u>Step 1: Simplify both sides of the inequality.</u>
−4<−13(a+6)−17
−4<−13a−95
<u>Step 2: Flip the equation.</u>
−13a−95>−4
<u>Step 3: Add 95 to both sides.</u>
−13a−95+95>−4+95
−13a>91
<u>Step 4: Divide both sides by -13.</u>
-13a/-13 > 91/-31
ANSWER: a < -7
Explanation in words:
- The first step is to simplify both sides of the inequality and the answer will end up being as −4<−13a−95.
- The second step is to flip the equation and the answer will end up being as −13a−95>−4.
- The third step is to Add 95 to both sides of the equation and the answer will end up being as −13a>91.
- The last step is to Divide both sides by -13 and the answer will result as a < -7. So the answer is a < -7.
Graph: See Attachment
Answer:
a<−7
Hope this helps.
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Answer: 6
Step-by-step explanation:
Let's use a rule of three here.
2 rooms in 1/3 h
x rooms in 1 h
Solve for x;
Remember that when you divide by a fraction, you invert the fraction and multiply by the numerator.
1/3 inverted is 3/1 or 3
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
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<em>Additional comment</em>
It is impossible to specify an equilateral triangle using rational coordinates.
