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3 years ago

Which expressions are equivalent to 9+h+ (j+k)? Check all that apply.

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

Answer:3

the 3rd one

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If y varies directly as x and k=8 , find x when y =8

Tju [1.3M]

Answer:

x = 1

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

here k = 8, thus

y = 8x ← equation of variation

When y = 8, then

8x = 8 ( divide both sides by 8 )

x = 1

8 0

3 years ago

Read 2 more answers

A curtain company has 1,787 yards of fabric to make identical curtains. If each curtain requires 6.5 yards of fabric, how many c

zysi [14]

Answer:

D. 274

Step-by-step explanation:

divide 1787 by 6.5 yds to get the answer, 274.

3 0

3 years ago

What statements are true about the ordered pair (7,19) and the system of equations?

Xelga [282]

The ordered pair (7, 19) is only a solution to the first equation, 14-19= -5. the ordered pair is not a solution to the second equation 7 + 57 does not equal 22.

5 0

3 years ago

Is the function y = 6 + 9 linear or nonlinear?

Luba_88 [7]

Answer:

Linear

Step-by-step explanation:

6 0

3 years ago

Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

$4b=-5-3$

$4b=-8$

b=-2

Hence the center of the circle is

$(-\frac{3}{2},2)$

8 0

3 years ago