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3 years ago

What are the soulutions to m^2-9=0

Mathematics

2 answers:

mihalych1998 [28]3 years ago

4 0

Answer:

m= 3, -3

Step-by-step explanation:

Hope this helps!

Mice21 [21]3 years ago

4 0

Answer : m=3 or m=-3

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Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

6 0

4 years ago

Which numbers for b would make √b irrational mark as brilliant!

just olya [345]

Answer:

All of the options when substituted for b will make the root of b irrational

Step-by-step explanation:

Mathematically, surds are roots of non-perfect squares and they are tagged as irrational numbers

For b to be irrational, all of the numbers given would fit. This is because all of these numbers are non-perfect squares meaning they do not have square root.

So what this mean is that these numbers when put under the root umbrella are irrational numbers as they are not perfect squares

8 0

3 years ago

In the figure below, the segments overline RS and overline RT are tangent to the circle centered at Given that OS = 3.6 and RT =

ExtremeBDS [4]

Answer:

RS = 4.8

OT = 3.6

From the Pythagorean Theorem we know:

OR^2 = ST^2 + OT^2

OR^2 = 4.8^2 + 3.6^2

OR ^2 = 23.04 + 12.96

OR^2 = 36

OR = 6

Step-by-step explanation:

8 0

3 years ago

Question 9 (3 points)

Lilit [14]

Answer:

Precambrian period

Step-by-step explanation:

Since the Great oxidation period = 2.4 Billion years ago era = Precambrian period.

Micro-fossils attributed to cyanobacteria are abundant during the Proterozoic that came later 2,5 billion years ago and ended 540 million years ago,

7 0

3 years ago

Subtact: (9x - 8) - (x + 4)

Bond [772]

Answer:

the answer is 8x-12

Step-by-step explanation:

7 0

3 years ago