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Trava [24]
2 years ago
6

*PLS HELP*

Mathematics
1 answer:
jasenka [17]2 years ago
4 0

Answer:

r = 2.5

Step-by-step explanation:

x is directly proportional to y. This can be written as,

x ∝ y

In terms of constant, the proportionality can be written as,

x = ry

Where r is the constant. The table has a set of values for x and y. Let's substitute the values in the first row into the equation with the constant.

10 = r × 4

r = \frac{10}{4}

r = 2.5

Lets check with the second row.

12.5 = r × 5

r = \frac{12.5}{5}

r = 2.5

Since both sets of values have the same answer for the constant, this means that the third row of values should probably have the same constant.

r = 2.5

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Is 5 in the solution of x+3>8 explain. Thank youuu ​
tester [92]

No

X would have to equal 6 or greater as if x was 5

5+3 is the same as 8

6 0
3 years ago
Read 2 more answers
Sabiendo que lo ancho de un terreno rectangular mide 24.7 m y que su perímetro es de 131.8 m. ¿Cuánto mide cada uno de sus lados
nadya68 [22]

Answer:

El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.

Respuesta:

De largo mide 16m

De ancho mide 8m

Explicación paso a paso:

Perímetro = número de lados multiplicado por longitud del lado.

Formula: P = 2(a + b)  o    P = 2b + 2h

Donde: P = Rectángulo del perímetro

           a y b = Longitudes de lados

Asignamos las variables:

Largo = 2x

Ancho = x

Utilizamos la formula:

2(x) + 2(2x) = 48

2x + 4x = 48

6x = 48

x = 48/6

x = 8m  (ancho)

2x

2(8)

16m (largo)

Step-by-step explanation:

4 0
3 years ago
can someone help me with this I have to do like 18 other questions so if you can help me with those I would appreciate it!
GenaCL600 [577]

Answer:

see below

Step-by-step explanation:

1.)

(0, 4)

(1, 7)

\frac{7-4}{1-0} = 3

y = 3x + b

(4) = 3(0) + b

b = 4

y = 3x + 4

Rate of change: 3       initial value: 4

2.)

(0, -5)

(1, -3)

\frac{-3-(-5)}{1-0} = 2

y = 2x + b

(-5) = 2(0) + b

b = -5

Rate of change: 2        initial value: -5

4 0
2 years ago
Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathema
yan [13]
In this item, it can be seen that from an expression of,
                                  (4 + 5i) + (-3 + 7i)
Aiko transformed the equation by factoring out the i's from the expression and wrote it as,
                                   (4 + 5)i + (-3 + 7)i
Now this is wrong because i there is not a variable but a notation that 5 and 7 are imaginary numbers. In fact, she cannot factor out the i's because it is not present in both -3 and 4. The answer therefore to this item is the last sentence, "Aiko incorrectly used the distributive property by combining ..."
4 0
3 years ago
Read 2 more answers
Solve the equation : <br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%
Debora [2.8K]

Answer:

General solution is

 x = n \pi + \frac{\pi }{8}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }

<u><em>Step(ii):-</em></u>

<u><em></em></u>\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }<u><em></em></u>

cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x

cos (\frac{\pi }{4}+x ) = cos 3 x

<u><em>Step(iii):-</em></u>

<u><em>General solution of  cos x = cos ∝  is  x = 2 nπ+∝</em></u>

<u><em>we have </em></u> cos (\frac{\pi }{4}+x ) = cos 3 x

The general solution of  cos (\frac{\pi }{4}+x ) = cos 3 x is

⇒  3 x   = 2 n \pi  + (\frac{\pi }{4}+x )

⇒ 3 x- x = 2 n \pi + \frac{\pi }{4}

 2x = 2 n \pi + \frac{\pi }{4}

<em><u>final answer</u></em>:-

General solution is

 x = n \pi + \frac{\pi }{8}

             

8 0
3 years ago
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