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frez [133]
3 years ago
11

Factorizing as the Difference of Two Squares1. 144x2 - 49​

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

Factorizing as the Difference of Two Squares

1. 144x2 - 49​

Step-by-step explanation:

Where is the picture?

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2) The triangles are similar. Find the similarity ratio of the first triangle to the 1 point
USPshnik [31]

Given:

Triangles FRI and DAY are similar.

To find:

Similarity ratio

Solution:

<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>

Here, FR and DA are corresponding sides.

$\Rightarrow \frac{FR}{DA} =\frac{4}{6}

Cancel the common factors of 4 and 6, we get

$\Rightarrow \frac{FR}{DA} =\frac{2}{3}

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

Similarity ratio of the first triangle to the second triangle is 2 : 3.

7 0
3 years ago
The diameter of a circle is 14 in. Find its area in terms of
Luda [366]

Answer:

Given - Diameter of circle = 14 in

To find - Area of circle

Solution -

Diameter= 2 × Radius

14 = 2 × R

14/2 = R

7 = R

Area of circle= π r^²

22/7 × 7 × 7

22 × 7

154

7 0
3 years ago
Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars
Sergeeva-Olga [200]

Answer: The car has to sell for $20000

Step-by-step explanation:

Let x represent the price that the car would have to sell for in order for these two job opportunities to pay Jim the same amount.

Ace Cars says they will pay Jim a 10% commission on the sale price of each car. It means that his pay would be

10/100 × x = 0.1x

Budget Cars says they will pay him $500 per week plus a 7.5% commission on the sale price of each car. It means that his pay would be

500 + 0.075x

For boths pays to be the same, it means that

0.1x = 500 + 0.075x

0.1x - 0.075x = 500

0.025x = 500

x = 500/0.025

x = 20000

The car has to sell for $20000

5 0
3 years ago
Un automóvil se desplaza 30 1/5 millas en 2/3 de hora. ¿Cuál es la velocidad promedio en millas por hora, del automóvil?
yarga [219]

Queremos encontrar la velocidad promedio de un automóvil dado que conocemos cuanto se desplaza y cuanto tarda en realizar ese desplazamiento. Veremos que la velocidad promedio es 45.3 millas por hora.

Recordar que definimos velocidad promedio como el cociente entre la distancia recorrida y el tiempo que se tarda en recorrer esa distancia.

Aca tenemos:

Desplazamiento = (30 + 1/5) cm

Tiempo = (2/3 horas)

Entonces la velocidad esta dada por:

V = \frac{(30 + 1/5)mi}{2/3 h} = \frac{(151/5)mi}{2/3 h} = 45.3 mi/h

Asi podemos concluir que la velocidad promedio es 45.3 millas por hora.

Sí quieres aprender más sobre velocidad, puedes leer:

brainly.com/question/25316464

3 0
3 years ago
Read 2 more answers
Find the limit of the function algebraically. (2 points) limit as x approaches zero of quantity x squared plus two x divided by
DIA [1.3K]

Answer:

DNE

Step-by-step explanation:

\lim_{x \to \0} \frac{x^{2} +2x}{x^{4} }

As you can see in the picture I attached to this, that as the limit goes to zero from the negative side, it approaches -∞ and from the positive side, it approaches ∞ . hence, the limit doesn't exist.

To show this algebraically, you have to imagine how a number divided by zero looks like, Just know the graph of 1/x and see how the limit to zero doesnot exist. I hope this helps!

7 0
3 years ago
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