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navik [9.2K]
3 years ago
5

Solve the system of linear equations by elimination. 9x−2y=349x−2y=34 5x+2y=−6

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0
So combine all the x and the Y on the left side and the coefficients on the right and then multiply the variable (x or Y) by the number needed for both. and then whichever variable you have left (x or y) will equal the coefficient and then divide by the coefficient
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Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
3 years ago
(05.01) Which statement best describes the area of the triangle shown below?​
alukav5142 [94]

Answer:

A

Step-by-step explanation:

Area of a triangle:

A=\frac{b*h}{2}

In our case:

b=4

h=2

Plug in what we know:

A=\frac{(4)(2)}{2} \\A=4units

Find the matching solution:

A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units

X B.) it is twice the area of a rectangle of length 4 units and width two units

X C.) it is 1/2 the area of a square of side length 4 units

X D.) it is twice the area of a square of side length 4 units

6 0
2 years ago
Four hundred two million seventy-three thousand one hundred eighty in standard form
Makovka662 [10]
402,073,180 = 4.02073180 x 10^8
3 0
3 years ago
Help please!!! I need it!
Grace [21]

Answer:

1300.62

Step-by-step explanation:

thank me later lolol.

8 0
3 years ago
A class has 15 boys and 16 girls. What is the probability that a boy's name is drawn at random?
melomori [17]
15 boys and 16 girls....total is (15 + 16) = 31

probability that a boys name is drawn : boys/total ppl = 15/31
6 0
3 years ago
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