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Nitella [24]
3 years ago
8

What solution do 2x2 - 13x + 21 = 0 and 2x2 + 9x - 56 = 0 have in common? Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0
So if we want to know the common solution(s) to a system of 2 equations, So we can just set both equations equal to each other and solve for the x value(s). That’s where I start below;

2x^2-13x+21 = 2x^2+9x-56
2x^2 cancels out and moving everything to one side and anything with an x variable to the other side we have then;
-22x=-77
22x=77 by cancelling the negative signs
x=77/22 therefore x=7/2 or 3.5

Hope this helps you. Any questions please ask.
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Can someone help me with this problem
user100 [1]

Answer:

About 110.6

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

\sin 19= \dfrac{36}{x} \\\\x=\dfrac{36}{\sin 19}\approx 110.6

Hope this helps!

5 0
3 years ago
Find the slope between the pair of points (1,3) and (7,2)
agasfer [191]

Answer:

             \bold{m=-\dfrac16}

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(1, 3)    ⇒   x₁ = 1,  y₁ = 3

(7, 2)    ⇒   x₂ = 7,  y₂ = 2

So the slope:

                    \bold{m=\dfrac{2-3}{7-1}=\dfrac{-1}6=-\dfrac16}

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3 years ago
Why is 2/3 greater than 3/5? Explain this to an 8 year old
Dmitrij [34]

\text{Hey there!}

\bf{\frac{2}{3}=0.6\overline{6}7}\\\\ \bf{\frac{3}{5}=0.60}

\text{Reason: if you use a fraction pie chart and compare}\frac{2}{3} \text{to}\frac{3}{5}, \text{you'd see that}\frac{2}{3} \text{has more shaded areas than as for}\frac{3}{5}\text{has the least amount}

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

8 0
3 years ago
I want to thank everyone on here who has helped me!
wariber [46]
Omg that so nice I love this app sm
5 0
2 years ago
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8 0
3 years ago
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