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Harman [31]
2 years ago
14

Factor the expression. q²r+ blank s^2t)(blankq^4r^2-6q^2rs^2t+blanks^4t^2​

Mathematics
1 answer:
rodikova [14]2 years ago
6 0

The equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is  q⁶  - r⁶s³

<h3>How to factor the expression?</h3>

The expression is given as:

(q² − r²s) (q⁴ + q²r²s + r⁴s²)

Expand the expression

(q² − r²s) (q⁴ + q²r²s + r⁴s²) =  q²(q⁴ + q²r²s + r⁴s²) − r²s(q⁴ + q²r²s + r⁴s²)

Open the brackets

(q² − r²s) (q⁴ + q²r²s + r⁴s²) =  q⁶ + q⁴r²s + q²r⁴s² -q⁴r²s - q²r⁴s² - r⁶s³

Evaluate the like terms

(q² − r²s) (q⁴ + q²r²s + r⁴s²) =  q⁶  - r⁶s³

Hence, the equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is  q⁶  - r⁶s³

Read more about expressions at:

brainly.com/question/11994062

#SPJ1

<h3>Complete question</h3>

Factor the expression. (q² − r²s) (q⁴ + q²r²s + r⁴s²)

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These People! I can’t do this!!! I need YOU!
Marianna [84]
Let’s solve for “a” and “s”.

a = 927 - 45s
a = 792 - 36s

927 - 45s = 792 - 36s
927 - 792 = 45s - 36s
135 = 9s
s = 15
a = 927 - (45 x 15) = 252
5 0
2 years ago
Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

7 0
2 years ago
I WILL GIVE BRAINLIEST
gtnhenbr [62]
Answer: B
explanation: on y-axis you can see the line touches -8 on graph. for the slope, rise over run could be used 9/9 =1
so y=x-8
7 0
3 years ago
Read 2 more answers
Solve with the law of sine
Zinaida [17]

1) Triangle QRT, where q = 32.4 ft, r = 29.8 ft, t = 42.1 ft

No this cannot make a second triangle

2) Triangle ABC, where B = 62°, a = 11.52 m, c = 19.34 m

No this cannot make a second triangle

3) Both of the triangles cannot make a second triangle

<h3>How does law of sine work</h3>

The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c."

The formula for law of sine is written as

Sine A  a = Sine B/ b = Sine C / c

These law helps in determining the given angles and sides

For the situation given; both cannot be used to make a second triangle

Learn more about conditions Infinite number of triangles at:

brainly.com/question/29637739

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5 0
1 year ago
The Brown Office Rental Company has purchased a new computer for the secretary to use for customer requests. She can type 70 wor
Vladimir [108]
First you want to find how many words she types per hour.
There are 60 minutes in 1 hour.
So multiply 70 words/min times 60 min/ 1 hr to cancel out the minutes.
You will get 4200 words / hr
Then multiply 4200 by 4 and 5
use * as multiplication symbol
4200 words/hr * 4 = 16,800 words/hr
4200 words/hr * 5 = 21,000 words/hr
She will type 16,800 - 21,000 words/hr

So Your answer is going to be letter G
6 0
3 years ago
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