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4 years ago

What is the value of b2 - 4ac for the following equation? 5x2 + 7x = 6

Mathematics

2 answers:

Ratling [72]4 years ago

8 0

Answer:

$\text{The value of }(b^2-4ac)\thinspace is\thinspace 169$

Step-by-step explanation:

Given the equation $5x^2 + 7x = 6$

we have to find the value of $b^2-4ac$

Equation: $5x^2+7x-6=0$

Comparing above with general quadratic equation $ax^2+bx+c=0$

we get, a=5, b=7 and c=-6

$b^2-4ac=(7)^2-4(5)(-6)=49+120=169$

Hence,

$\text{The value of }(b^2-4ac)\thinspace is\thinspace 169$

shtirl [24]4 years ago

5 0

B²-4ac?

5x²+7x-6 = 0 
the form is ax²+bx+c = 0 

a=5, b=7, c=-6 

The discriminant D = b²-4ac 
= 7² - 4(5)(-6) = 49 + 120 
= 169

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Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B

Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

$\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}$

$b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft$

The length of side b is 179 ft

Option C is correct.

7 0

3 years ago

1/3+2/5= what does this equal in a fraction form

SVEN [57.7K]

Answer:

11/15

hope this helps

have a good day :)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

3. Find the difference between the two expressions. 1x - 5y)-1(x + 2y)

Fittoniya [83]

Answer:

$-7y$

Step-by-step explanation:

Our equation is:

$\left(1x-5y\right)-1\left(x+2y\right)$

First we dritribute

Now we have, $x-5y-x-2y$

$Combine$ light terms

and we get $-7y$

5 0

3 years ago

Convert 1 2/5 x 2/3 into a mixed number

zavuch27 [327]

It simplifies to the proper fraction 14/15 so it cannot be a mix number

hope this helps !!

8 0

3 years ago

A polling company reported that % of surveyed adults said that Complete parts (a) through (d) below.

SOVA2 [1]

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

8 0

3 years ago