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Mashcka [7]
3 years ago
12

Is 4b²+40b+20 a perfect square​

Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer:

No.

Step-by-step explanation:

It is not because 20 is not a perfect square.

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Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

x^2-8x-10

If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
3 years ago
I need help with no.7
ziro4ka [17]

Answer:

  (a) 315°

  (b) 3°

  (c) 238°

Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

<h3>(a)</h3>

The bearing of P from R is 180° different from the bearing of R from P it will be ...

  135° +180° = 315° . . . . bearing of P from R

__

<h3>(b)</h3>

The bearing of Q from R is 48° more than the bearing of P from R, so is ...

  315° +48° = 363°, or 3° . . . . bearing of Q from R

__

<h3>(c)</h3>

The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...

  180° -48° -55° = 77°

The bearing of Q from P is 77° less than the bearing of R from P, so is ...

  135° -77° = 58°

As above, the reverse bearing from Q to P is ...

  58° +180° = 238° . . . . bearing of P from Q

8 0
2 years ago
In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are
kenny6666 [7]

Answer:

0.194


Step-by-step explanation:

Probability that BOTH are democrats means probability of <u>"one being democrat"</u> AND <u>"another also being democrat"</u>.

The AND means we need to MULTIPLY the individual probability of a person being democrat.

Probability that a voter is democrat is 44% (0.44) -- stated in the problem


Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

0.44*0.44=0.1936

Rounded to nearest thousandth, 0.194

Last answer choice is correct.

6 0
3 years ago
For each part below, use the figure to fill in the blank.
jenyasd209 [6]

Answer:

Step-by-step explanation:

5 0
2 years ago
Find the slope of the line shown on the graph to the right.Select the correct choice below and fill in any answer boxes within y
klasskru [66]

We can see that the line is horizontal so its slope is 0.

5 0
1 year ago
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