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solniwko [45]
2 years ago
14

Find the solutions of the quadratic equation –9x2 + 49 = 0.

Mathematics
1 answer:
Luba_88 [7]2 years ago
3 0

Answer:

x = 7/3

Step-by-step explanation:

<u>Given equation:</u>

  • –9x² + 49 = 0

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

  • ⇒ –9x² + 49 - 49 = 0 - 49
  • ⇒ –9x² = -49

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

  • ⇒ –9x² = -49
  • ⇒ -9x²/-1 = -49/-1
  • ⇒ 9x² = 49

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

  • ⇒ 9x² = 49
  • ⇒ (3x)² = (7)²

Take square root both sides of the equation:

  • ⇒ √(3x)² = √(7)²
  • ⇒ 3x = 7

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

  • ⇒ 3x/3 = 7/3
  • ⇒ x = 7/3

Therefore, the value of "x" must be 7/3.

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Vsevolod [243]
For any point to be in the first quadrant, it must have a positive "x" value and "y" value. 
If x = 1 then y = 2, a point with both x and y positive values which would be in the First Quadrant.




3 0
3 years ago
A map has a scale of 3 cm and 20 cm which statement is true or false two cities are actually 66 cm part are9.9 cm part
victus00 [196]
Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm
8 0
3 years ago
an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are
Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

 In a triangle ABC. Please find the attachment for figure.

\angle A=70^{\circ}

\angle B=\angle C=55^{\circ}

Side BC=a = 10 in

Using sine law of trigonometry,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute the given value into formula.

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}

Cross multiply and we get

b=\sin 55\times \dfrac{10}{\sin 70}

b=8.72 in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0
3 years ago
Plz help I don’t under stand how to get this common ratio
Talja [164]

Answer:

2 over 5

Step-by-step explanation:

Common ratio =

7/ (35/2) = (14/2) / 7

Our answer became 2/5

7 0
3 years ago
21-3+18/6<br><br> What is the correct answer?
Mnenie [13.5K]

Answer:

21

Step-by-step explanation:

PEMDAS:

Parenthesis

Exponent

Multiplication and Division

Addition and Subtraction

21-3+3

18+3

21

Hope this helps!

3 0
3 years ago
Read 2 more answers
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