Answer:
Step-by-step explanation:
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
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Answer:
See photo below
Add arrows to the two ends of the parabola.
Step-by-step explanation:
To sketch this quadratic function, we to connect three dots: the two roots and a vertex.
The given roots are -1 and 1.
Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).
Vertex dot: V (x, y)
The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.
V (0, y)
Since the function increases when x < 0, the parabola will <u>open up</u>.
We read from left to right. The greater numbers are towards the top of the page.
<u>You can put the vertex anywhere on the y-axis that is below the x-axis.</u>
Step 1: Factor
1. <span> Multiply 2 by -2, which is -4.</span>
2. <span>Ask: Which two numbers add up to -3 and multiply to -4?
</span>3. <span>Answer: 1 and -4
</span>4. Rewrite
as the sum of
and
Step 2: <span>Factor out common terms in the first two terms, then in the last two terms.
</span>
<span>
Step 3: </span>Factor out the common term
Step 4: Solve for
1. Ask: When will
equal zero?
2. Answer: When
or
3. <span>Solve each of the 2 equations above:
</span>
<span>
Step 5: </span>From the values of
<span>above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2
Step 6: P</span><span>ick a test point for each interval
</span>For the interval
Lets pick
Then,
After simplifying, we get
, Which is false.
Drop this interval.
<span>
For this interval
Lets pick
. Then,
. After simplifying, we get
which is true. Keep this <span>interval.
For the interval </span>
Lets pick
Then,
After simplifying, we get
, Which is false. Drop this interval.
.Step 7: Therefore,
Done! :)</span>
3 odd integers have a property that they average up to the middle large one. Let's say we have 3, 5, and 7. 3 is 2 less than 5 and 7 is 2 more than 5. so when you add them it equals 2 times 5.
After we know that, the sum of 3 odd integers is just 3 times the middle number. ex. 3+5+7 = 3 times 5 = 15
Then we know the some number times three = 225. we find out that the middle number is 75, so the other two are 73 and 77
Answer:
Step-by-step explanation:
the answer is 3/7