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Nina [5.8K]
2 years ago
10

Write an equation of a line that passes through the point (-5,3) and is parallel to the line y = -2x + 5.

Mathematics
1 answer:
zimovet [89]2 years ago
8 0

Answer:

Step-by-step explanation:

y = -2x+5

slope of line is -2.

slope of parallel to line is also -2

point-slope equation for line of slope -2 that passes through (-5,3):

y-3 = -2(x+5)

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Jackson used the process of completing the square to solve the equation 2x2−12x=−6.
Nikolay [14]

Answer:

x=3-\sqrt{6},x=3+\sqrt{6}

Step-by-step explanation:

we are given equation as

2x^2-12x=-6

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

2(x^2-6x)=-3\times 2

step-2:

Simplify it

x^2-6x=-3

step-3:

Add both sides 3^2

x^2-6x+3^2=-3+3^2

now, we can complete square

(x-3)^2=6

step-4:

Take sqrt both sides

(x-3)=-\sqrt{6},(x-3)=\sqrt{6}

step-5:

Add both sides by 3

we get

x=3-\sqrt{6},x=3+\sqrt{6}


3 0
3 years ago
The power supplied to a typical black-andwhite television set is 48.1 W when the set is connected to 72 V. How much electric ene
Mnenie [13.5K]

Answer:

Energy consumed = 1.73× 10⁵ J

Step-by-step explanation:

Given:

Power P = 48.1 W, Time = 1 Hrs= 3600 S

Formula of Power = Energy / Time

⇒ Energy = Power × Time

Energy = 48.1 W × 3600 S = 173,160 Joule = 1.73× 10⁵ J

8 0
3 years ago
Graph the line. y=-4x+6 what the graph
Aloiza [94]
So the -4x is the M and then 6 is the B. So m is the slope and B is the y-intercept. The 6 goes on the y axis and the -4 will be how the line looks. It’ll be rise (-4) over run (1).

4 0
2 years ago
2/9 of the people on the restaurant are adults. If there are 95 more children than adults, how many children are there in the re
yan [13]
A: Adults
C:children
P: people
A= 2/9 P
C= A+95
P= A+C
= 2/9P + 2/9P+95
= 4/9 P+95, add -4/9P for both sides (same terms, same sides:))
P- 4/9P= 95
5/9P= 95
P= 171 people in the restaurant
Adult= 2/9*171= 38 Adults
Children= 38+95= 133 children
7 0
3 years ago
In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
Arisa [49]

Answer:

D’(-1,-2)

Step-by-step explanation:

Left = x -2 = 1-2 = -1

down = y-5 = 3-5 = -2

8 0
3 years ago
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