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BigorU [14]
3 years ago
9

Given f (x) = 2x^3 - 9x + k and x - 1 is a factor of f (x), then what is the value of k?

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Something complicated I’m sure

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Find the values of x and y that make these triangles congruent by the HL Theorem.
Temka [501]

Answer:

The answer is X=6 & Y=3 ......

3 0
4 years ago
A service station will be built in the highway, and a road will connect it with cray. How long will the new road be?
abruzzese [7]

Answer: 24 mi

Step-by-step explanation:

Let the points A, B, C and S represent Alba, Blare, Cray and Service station respectively,

Then According to the question,

We have to find out the line segment CS = x = ?

Now, In the triangles ACB and CSB,

\angle ACB\cong \angle CSB     ( Right angles )

\angle ABC\cong \angle CBS      ( Reflexive angles )

Thus, by AA similarity postulate,

\triangle ACB\sim\triangle CSB

By the property of similar triangles,

\frac{AB}{CB}=\frac{AC}{CS}

\implies \frac{50}{30}=\frac{40}{x}

\implies 50x=30\times 40

\implies 50x = 1200

\implies x =24

Thus, the length of the new road = 24 miles


7 0
3 years ago
Eric is looking to go shopping, as he knows he needs more ties and shirts. Eric is looking for his ties and discovers that he cu
mars1129 [50]
<h2>1 way</h2>

For 20 shirts Eric has

20×2=40 ties

After shopping Eric has 50 shirts

So

20 shirts 50 shirts

40 ties x ties

\frac{20}{40}  =  \frac{50}{x} \\ x =  \frac{50 \times 40}{20}  \\ x = 100

Answer: He would have 100 ties

<h2>2 way</h2>

If he has 2 ties for 1 shirt he will have

2×20=40 ties for 20 shirts, so for 50 shirts ge would have

50×2=100 ties

Answer: He would have 100 ties

4 0
3 years ago
Read 2 more answers
Solve the inequality. Graph the solution
Evgen [1.6K]

Answer:

<em>t ≥ -12 </em>

Step-by-step explanation:

4 ≥ -t/3 Original Equation

4 <em>(3</em>) ≥ -t/3 <em>(3) </em>Cancel out the division

12 ≥ -t

12 <em>(-1)</em> ≥ -t<em> (-1) </em>Canceling Negative on the variable, Flipping over Inequality Sign

<em>t ≥ -12 </em>

3 0
3 years ago
Read 2 more answers
20% of the tickets sold at a water park were adult tickets. If the park sold 55 tickets in all,how many did it sell?
djyliett [7]

Answer:

11 adult tickets

Step-by-step explanation:

I guess you want the number of adult tickets sold.

That is 20% of 55

= 0.20*55

= 11 (answer)

8 0
3 years ago
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