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Alecsey [184]
2 years ago
12

Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x?

Mathematics
1 answer:
Tema [17]2 years ago
4 0
Your x values are 1.24 and -0.404.
First you need to make the equation equal 0, and you can do this simply by subtracting 5x, so you get
6x² - 3 - 5x = 0
The quadratic formula is (-b +- √b² - 4ac)/2a, where a is the x², b is the x, and c is the value. This means we can just substitute it in.
You find the value of the part inside the square root, which is -5² - 4 × 6 × -3 = 97. Now we can use this to substitute in to (5 +- √97)/12. We can do it with the plus sign, and get 1.24, and then with the subtract sign and get -0.404.

I hope this helps!
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Which pairs of rectangles are similar polygons?<br><br> Select each correct answer.
oee [108]
The corrects answers are B and D for this one. 

Since you divide the same side for both the the rectangles on both parts and if the division statements are equaled, then they are similar. 

For example; 

Answer B. 
50 / 10 = 5 
and 
30 / 6 = 5 

Answer D. 
7.5 / 2.5 = 3
and 
4.5 / 1.5 = 3 

Since they both equal the same for both of the rectangles for the answers individually, they are similar polygon rectangles. 

Hope this helps! 

<em>~ ShadowXReaper069</em><em />
8 0
2 years ago
Read 2 more answers
Simplify square root of (1-sin theta)(1+sin theta)
Vinil7 [7]
Recall the important identities:

i) (a-b)(a+b)= a^{2}- b^{2}, the difference of squares formula.

ii) sin^{2} x+cos^{2}x=1, for any angle x.

Then,

from i)

\sqrt{(1-sin(theta))(1+sin(theta))}= \sqrt{1- sin^{2}(theta) }

then, from ii), we have 

\sqrt{1- sin^{2}(theta) }= \sqrt{cos^{2}(theta) }=cos(theta)


Answer: cos(theta) 

6 0
2 years ago
Mike watches a caterpillar climbing on a tree trunk he writes the expression -5/8-(-1/8-1/2) to show the change in feet of the c
guapka [62]

Answer:

-5 / 8 - -4 / 8 equals the approximate estimate notation of 58.7

7 0
2 years ago
Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n
Svetradugi [14.3K]

Answer:

Part a) The scale of the new blueprint is \frac{5}{8} \frac{in}{ft}    

Part b) The width of the living room in the new blueprint is 9.4\ in

Step-by-step explanation:

we know that

The scale of the original blueprint is

\frac{2}{5}\frac{in}{ft}

and

the width of the living room on the original blueprint is 6 inches

so

<em>Find the actual width of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft

<em>Find the actual length of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft

<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room

\frac{15}{24} \frac{in}{ft}

simplify  

\frac{5}{8} \frac{in}{ft}      

<em>Find the width of the living room in the new blueprint, using proportion</em>

\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in

3 0
2 years ago
Marcella ate one cup of air popped popcorn. which equation can Marcelo use to find how many carbohydrates she consumed?
Dahasolnce [82]
She ate 6.2 carbohydrates

8 0
2 years ago
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