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Dmitriy789 [7]
2 years ago
9

Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)

Mathematics
1 answer:
aleksandrvk [35]2 years ago
7 0

Answer:

  • x = 2.41

Step-by-step explanation:

<u>Area formula:</u>

  • A = 1/2bh

<u>The height is:</u>

  • h = (x + 2)sin 45° = √2(x + 2)/2

<u>Substitute the area value an set an equation:</u>

  • 4√2 = (2x - 3)√2(x + 2)/2
  • (2x - 3)(x + 2) = 8
  • 2x² + x - 6 = 8
  • 2x² + x - 14 = 0
  • D = 1 + 4*2*14 = 113
  • x = (-1 + √113)/4 = 2.41 (rounded)    

Note. the second root ignored as negative

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G(x)= 3x − 3; Find g(−6)
Irina18 [472]
<span>g(x)= 3x − 3
</span><span>g(−6)

g(-6) = 3(-6) - 3
g(-6) = -18 - 3
g(-6) = -21

The answer is -21.</span>
4 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through (1,4) and is parallel to 3x+y+2=0. Leave your answer in the form y=mx+c.
Mila [183]

Answer:

y = -3x + 7.

Step-by-step explanation:

First find the slope of the given line by converting to intercept form:

3x + y + 2 = 0

y = -3x - 2

So the slope is -3.

Then the line we want has a slope of -3 also (as it is parallel).

y - y1 = m(x - x1)   where m is the slope and (x1, y1) is a point on the line:

m = -3,  x1 = 1 and y1 = 4, so we have:

y - 4 = -3(x - 1)

y = -3x + 3 + 4

y = -3x + 7.

3 0
2 years ago
If one endpoint is (-6,4) and the midpoint is (4,8) what would be the other endpoint ???? if you can explain it would be great
krek1111 [17]
I believe the next one would be 13.2 because if you add 8.4 to -6.4 it gets 4.8 so you just do the same thing
8 0
3 years ago
If f(x) = -(x - 1) then does f(-2)=3?​
Aneli [31]

Answer:

Yes thats correct

Step-by-step explanation:

5 0
3 years ago
A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated h
patriot [66]

Answer:

t=5.5080( to 3 d.p)

Step-by-step explanation:

From the data given,

n =20

Deviation= 34/20= 1.7

Standard deviation (sd)= 1.3803(√Deviation)

Standard Error = sd/√n

= 1.3803/V20 = 0.3086

Test statistic is:

t = deviation /SE

= 1.7/0.3086 = 5.5080

ndf = 20 - 1 = 19

alpha = 0.01

One Tailed - Right Side Test

From Table, critical value of t =2.5395

Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.

t score = 5.5080

ndf = 19

One Tail - Right side Test

By Technology, p - value = 0.000

Since p - value is less than alpha , reject null hypothesis.

Conclusion:

From the result obtained it can be concluded that ,the data support the claim that the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10.

5 0
3 years ago
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