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Anika [276]
3 years ago
5

What is the approximate solution of this system of equations?

Mathematics
2 answers:
Mariulka [41]3 years ago
7 0
I believe it's the second one, <span>(-0.5, 1.7)


Comment the correct answer. </span>
Maurinko [17]3 years ago
5 0

Answer:

(B)

Step-by-step explanation:

The given system of equations are:

y=x^2+3x+3                                      (1)

and y=x^2+x+2                                (2)

Subtracting equation (2) from (1), we get

0=2x+1

⇒2x=-1

⇒x={\frac{-1}{2}}

⇒x=-0.5

Now, substituting the value of x=-0.5 in equation (2), we get

y=0.25-0.5+2

⇒y=1.7

Thus, the values of x and y are -0.5 and 1.7.

Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).

Hence, option (B) is correct.

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Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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4 0
3 years ago
Read 2 more answers
The owner of the plant nursery where you work tells you to fill 350 milliliter bottles from a 30 liter drum of fertilizer. How m
valina [46]
So we know that there are 1000 mL in 1 L. We can set up an equation that allows us to solve for how many bottles are needed in order to empty the 30 L tank:

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This equation then allows us to cancel out the units of mL and L, leaving us with how many bottles are needed per tank. Then we multiply straight across to give us:

\frac{30,000}{350}= \frac{85.71 bottles}{1 tank}

The question asks us to round up to the next whole number, so it would take 86 bottles to empty one 30 L tank.
8 0
3 years ago
Change to decimals.<br> 1. 75%
ANEK [815]

Answer: 0.75

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100.

So we can think of 75% as the ratio 75 to 100 or 75 ÷ 100.

Dividing by 100 moves the decimal point two places to the left so 75 ÷ 100 will move the decimal point two places to the left which would give us .75 or 0<em>.</em>75.

This means that 75% can be written as the decimal 0<em>.</em>75.

3 0
3 years ago
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
iren [92.7K]

Answer:

Step-by-step explanation:

The area of a sector has the formula

A_s=\frac{\theta}{360}*\pi r^2 Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:

A_s=\frac{75}{360}*(3.14)(4)^2 and simplifying that a bit to look less threatening, but not by much:

A_s=\frac{5}{24}(3.14)(16) and

A_s=\frac{251.2}{24}=\frac{157}{15}=10.466666666... Not sure how you're supposed to express your answer so I gave both the fraction and its decimal equivalency.

8 0
3 years ago
Please help me please
Basile [38]
Uh mhmm where is the choice?
3 0
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