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Artist 52 [7]
2 years ago
5

X2 + 3x + 2 x2 + 2x

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

Answer:

x= -2

Step-by-step explanation:

set the two equations equal to each other, and since the x2 cancels out, you're left with 3x+2= 2x, which simplifies to x= -2

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The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.
stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, we get

AB=\sqrt{(5-(-3))^2+(8-2)^2}

AB=\sqrt{(8)^2+(6)^2}

AB=\sqrt{64+36}

AB=\sqrt{100}

AB=10

Similarly,

BC=\sqrt{(11-5)^2+(0-8)^2}

BC=\sqrt{(6)^2+(8)^2}

BC=\sqrt{36+64}

BC=\sqrt{100}

BC=10

And,

AC=\sqrt{(11-(-3))^2+(0-2)^2}

AC=\sqrt{(14)^2+(-2)^2}

AC=\sqrt{196+4}

AC=\sqrt{200}

AC=10\sqrt{2}

Two sides of the triangle are equal, i.e., AB=BC. So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

AB^2+BC^2=10^2+10^2

AB^2+BC^2=100+100

AB^2+BC^2=200

AB^2+BC^2=AC^2

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0
3 years ago
Find the missing length of the following with midsegment drawn
natulia [17]

Answer:

18

Step-by-step explanation:

RQ = (22+14)/2 = 36/2 = 18

6 0
3 years ago
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Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle betwee
Radda [10]
Cosine Law:
c² = a² + b² - 2 a b cos C
Answer:
C ) area of square c² = area of square a² + area of square b²
- area of defect 1 - area of defect 2 
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3 years ago
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Alex purchased a seven-year $600 bond at par value with a 5% coupon. What is the total value of the coupons?
anyanavicka [17]

Answer

300 dollars

because u do 600x.5

4 0
3 years ago
D + 4/3 = -1/3<br> find d.
vovangra [49]

Answer:

d= -5/3

Step-by-step explanation:

d + 4/3 = -1/3

d= -4/3 -1/3

d= -5/3

4 0
3 years ago
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