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3 years ago

Find an equation of the line parallel to y=x+3 and that passes through the point (1 -5)

Mathematics

2 answers:

algol [13]3 years ago

7 0

Answer:

y=x-6

Step-by-step explanation:

Y=x+3 according to this equation, the gradient is 1 comparing to y=mx+c. so m is the gradient. so from the equation, the coefficient of x is 1. since the line is parallel so it means the new equation has the same gradient m.

y=x+c but it passes through 1,-5...when x= 1, y=-5 from here , we Can find the new intercept c. -5=1+c. so c=-5-1=-6

the new equation y=x-6

Mekhanik [1.2K]3 years ago

5 0

Answer: y = x - 6

Explanation:

It needs to have the same slope so that it parallel.

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The sum of 4 consecutive integers is 354

gtnhenbr [62]

Answer:

The numbers are 87, 88, 89 and 90.

Step-by-step explanation:

Let the numbers be x, x+1, x+2 and x+3.

x + x +1 + x + 2 + x + 3 = 354

4x + 6 = 354

4x = 348

x = 348 / 4

= 87.

7 0

3 years ago

Need the answer to number 8 pls

Rama09 [41]

We can split it up into

$( \frac{x^4+2x^2}{x^2+2})+( \frac{1}{x^2+2} )= (\frac{x^2(x^2+2)}{x^2+2})+( \frac{1}{x^2+2} )x^2+\frac{1}{x^2+2}$
I see you were supposed to use synthetic division

not sure what the 'related function is'
but as |x| approaches positivie infinity, y approaches positive infinity
as |x| approaches negative infinity, y approaches positive infinity

for the original function
as x approaches positivie infinity $x^2+ \frac{1}{x^2+2}$ approaches positive infinity
as x approaches negative infinity $x^2+ \frac{1}{x^2+2}$ approaches positive infinity
this is due to the x^2 term making it positive

6 0

4 years ago

Factorise <br> b) x + 3x - 40

lora16 [44]

4(x-10) .....................

4 0

3 years ago

Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee help mwah. will give brainliest

Vadim26 [7]

Answer:

its 0.4 :)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Activity

Sergio039 [100]

Answer:

Dylan’s weight is d.

Twice Dylan’s weight is 2d.

Three pounds more than twice Dylan’s weight is 2d + 3.

So, the expression for Alan’s weight in terms of Dylan’s weight is 2d + 3.

Dylan’s weight is d.

Three times Dylan’s weight is 3d.

Twelve less than three times Dylan’s weight is 3d − 12.

So, the expression for Bruce’s weight in terms of Dylan’s weight is 3d − 12.

Cecil’s weight is the sum of Alan's weight and Bruce's weight.

Alan’s weight in terms of Dylan's weight is 2d + 3.

Bruce’s weight in terms of Dylan's weight is 3d − 12.

So, the expression for Cecil’s weight in terms of Dylan’s weight is (2d + 3) + (3d − 12).

Cecil's weight is (2d + 3) + (3d − 12).

Find Cecil's weight by substituting Dylan’s weight (d = 45) into the expression above:

(2 × 45 + 3) + (3 × 45 − 12)

= (90 + 3) + (135 − 12)

= 93 + 123

= 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

(2d + 3) + (3d − 12)

First remove the parentheses:

2d + 3 + 3d − 12.

Then group the like terms:

2d + 3d + 3 − 12.

Finally, add and subtract the like terms:

5d − 9.

The expression (2d + 3) + (3d − 12) simplifies to 5d − 9.

Cecil’s weight in terms of Dylan’s weight is 5d – 9.

Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9

= 225 − 9

= 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Bruce's weight in terms of Dylan’s weight is 3d − 12.

Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

The expression is (3d − 12) − (2d + 3).

Evaluate the expression by substituting Dylan’s weight (d = 45) into it:

(3 × 45 − 12) − (2 × 45 + 3)

= (135 − 12) − (90 + 3)

= (123) − (93)

= 30.

Bruce weighs 30 pounds more than Alan weighs.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

The expression is d − 15.

Evaluate the expression by substituting Dylan’s weight (d = 45) into it:

45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Do not copy, it's the exact answer from edmuentum

5 0

3 years ago