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Vanyuwa [196]
3 years ago
8

Reflect the triangle =(-1,-2), 4(1,1), V(4,- 3) across the line y = x

Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

(- 1, - 2 ) → (- 2, - 1 )

(1, 1 ) → (1, 1 )

(4, - 3 ) → (- 3, 4 )

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If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function
Rina8888 [55]

Answer:

Step-by-step explanation:

Multiplying a(x) and b(x) together results in a quadratic equation (a trinomial).  This trinomial looks like (a·b)(x) = (2)(x - 2)(x + 2).  Note that this is a "special product;"  (2)(x^2 - 4); there is no middle term.

7 0
3 years ago
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The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim
nataly862011 [7]

Answer:

≈ 1833

Step-by-step explanation:

To find ratio of proton mass to electron mass, we have to divide.

The numbers are given in <em>scientific notation</em>.

Let a number be  a*10^b and another be  c*10^d, when we divide, we will follow the rule shown below:

\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})

Now, we use the information given to find the ratio:

\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

0.1833*10^4=1833

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]

7 0
3 years ago
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Please help me with this question!
Alina [70]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

∠1 = 180° - (72 + 57)° = 180° - 129° = 51°

The right angle at the left vertex is composed of 72° and ∠2, thus

∠2 = 90° - 72° = 18°

57° and ∠3 form a straight angle and are supplementary, thus

∠3 = 180° - 57° = 123°

∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle

∠4 = 180° - (18 + 123)° = 180° - 141° = 39°

4 0
3 years ago
Evaluate 3x2 - 1 when x = 2.
Shalnov [3]

Answer:C or 11

Step-by-step explanation:

3x²-1

First you insert x... which is 2

3(2)²-1

then you square the 2. (multiply it by itself)

3(4)-1

Then you multiply 3 by 4 to get 12

12-1

And then you subtract for your answer

11

4 0
3 years ago
A rope pulling a sled is sloped at 15° upward at the point of contact. The tension in the rope is 50.0 N. What is the horizontal
gizmo_the_mogwai [7]

Answer:

The horizontal component of the force is 48 N.

Step-by-step explanation:

The angle that the rope makes with with the horizontal is 15°, that means, the horizontal component of the force F_H is

cos(15^o)=\frac{F_H}{50N}

\boxed{ F_H=50N*cos(15^o)=48N}

4 0
3 years ago
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