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Rufina [12.5K]
3 years ago
6

write the equations of the line passing through the point (2,4) and parallel to the line whose equation is y=x

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x is in this form

with slope m = 1 and c = 0

• Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (2, 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = x + 2 ← equation of parallel line

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Neptune’s average distance from the sun is 4.503 x 10e9 km. Mercury’s average distance from the sun is 5.791 x10e9 km.about how
Igoryamba

Answer:

77.76 times

Step-by-step explanation:

The average distance of Neptune  from the sun

= 4.503  ×  10 ⁹  k m .

and Mercury  =  5.791  ×  10 ⁷ k m .

Hence neptune is (  4.503  ×  10 ⁹) ÷ (5.791 × 10 ⁷  ) times farther from the sun than mercury

i.e.(  \frac{4.503}{5.791} )  × 10⁹⁻⁷ times

=   0.7776  ×  10 ² times

=   77.76  times.

4 0
3 years ago
Plz help
kvv77 [185]

Option C: 5 x(4 x+7)(3 x+2) is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is 60 x^{3}+145 x^{2}+70 x

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

5 x\left(12 x^{2}+29 x+14\right)

Let us break the expression 12 x^{2}+29 x+14 into two groups, we get,

5x[\left(12 x^{2}+8 x\right)+(21 x+14)]

Factoring 4x from the term 12 x^{2}+8 x , we get,

5x[4 x(3 x+2)+(21x+14)]

Similarly, factoring 7x from the term 21 x+14 , we get,

5x[4 x(3 x+2)+7(3x+2)]

Now, let us factor out 3x+2, we get,

5 x(4 x+7)(3 x+2)

Hence, the possible expressions for length, width and height of the prism is 5 x(4 x+7)(3 x+2)

Therefore, Option C is the correct answer.

8 0
3 years ago
What decimal is equivalent to 15 198/200?
IrinaK [193]
It's equivalent to 75.99
8 0
4 years ago
7.05, 5.07,7.5,0.57 least to greatest
Rudiy27

0.57 , 5.07 , 7.05 , 7.5

7 0
3 years ago
Read 2 more answers
Ms. Fontanges wants to put a line of bricks along the back edge of her yard. She needs 35 feet of bricks. The bricks she wants t
Oliga [24]

Answer:

$41.16

Step-by-step explanation:

Length of bricks required = 35 feet, length of brick sold = 10 inches, cost of 10 inches brick = $0.98 per brick

Total number of brick required to build the back yard = Length of bricks required ÷ Length of brick sold

1 ft = 12 inches

Number of brick required = (35 * 12) ÷ 10

Number of bricks required = 42 bricks

Cost of brick required = Per length cost of brick * Number of bricks required

Cost of brick required = 0.98 * 42

Cost of brick required = $41.16

Ms. Fontanges would spend $41.16 on the purchase of bricks

5 0
3 years ago
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