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3 years ago

Solve the equation x² = 1.21 *

Mathematics

1 answer:

gogolik [260]3 years ago

3 0

Answer:

x = 1.1, -1.1

Step-by-step explanation:

This is the answer because:

1) Take the root of both sides and solve.

$\sqrt{1.21}$ = 1.1

2) x can also equal -1.1 because -1.1 times -1.1 gives us a positive 1.21 because negative x negative = positive

Hope this helps!

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How many solutions for x does the following equation have? 2(x + 4) − 1 = 2x + 7

4vir4ik [10]

Answer:

The equation has infinity solutions

Step-by-step explanation:

we have

$2(x+4)-1=2x+7$

Applying distributive property left side

$2x+8-1=2x+7$

Combine like terms

$2x+7=2x+7$

The linear equation of the left side is equal to the linear equation of the right side

Both lines are identical

therefore

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3 years ago

25 Points ! Write a paragraph proof.<br> Given: ∠T and ∠V are right angles.<br> Prove: ∆TUW ∆VWU

vladimir2022 [97]

Answer:

Δ TUW ≅ ΔVWU ⇒ by AAS case

Step-by-step explanation:

* Lets revise the cases of congruent for triangles

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

leg of the 2nd right angle Δ

* Lets solve the problem

- There are two triangles TUW and VWU

- ∠T and ∠V are right angles

- LINE TW is parallel to line VU

∵ TW // VU and UW is a transversal

∴ m∠VUW = m∠TWU ⇒ alternate angles (Z shape)

- Now we have in the two triangles two pairs of angle equal each

other and one common side, so we can use the case AAS

- In Δ TUW and ΔVWU

∵ m∠T = m∠V ⇒ given (right angles)

∵ m∠TWU = m∠VUW ⇒ proved

∵ UW = WU ⇒ (common side in the 2 Δ)

∴ Δ TUW ≅ ΔVWU ⇒ by AAS case

7 0

3 years ago

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Help me please ( on the image )

Mrac [35]

Answer:

$\frac{\pi}{3}$ radians

Step-by-step explanation:

Number of hours on a clock = 12

Since, measure of a circle at the center = 360°

Measure of central angle formed by the arc between each number (representing hours) = $\frac{360}{12}$

= 30°

Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°

= 120°

Therefore, angle measure in radians = $\frac{\pi }{360}\times (120^0)$

= $\frac{\pi }{3}$

Angle formed by the hands of the clock at 8:00 = $\frac{\pi}{3}$ radians

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slamgirl [31]

The answer is the first one

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3 years ago

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astra-53 [7]

Answer:

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Step-by-step explanation:

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