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Ostrovityanka [42]
2 years ago
15

Apply the distributive property to create an equivalent expression.

Mathematics
1 answer:
Keith_Richards [23]2 years ago
3 0

Answer:

-45xj-9xk

Step-by-step explanation:

-9x(5j+k)

Multiply -9x with 5j

Multiply -9x with k

-9x times 5j is -45xj

-9x times k is -9xk

So the equivalent expression is

-45xj-9xk

Hope this helps!

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Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x
irga5000 [103]
Convert all the equations to slope-intercept form:
2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}

A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}

C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
3 0
4 years ago
Solve the system of equations.<br> x + 3y = -1<br> 2x + 2y = 6
Lerok [7]

Answer:

y= -2

x = 5

Step-by-step explanation:

Multiply the top equation by 2 to get

2x + 6y = -2

then subtract the bottom equation by the new equation to get

2x + 6y = -2

--------------------

2x + 2y = 6

which is

4y = -8

y = -2

If y = -2

Then plug -2 into y in the top equation to get x + 3(-2) = -1 and simplify which is

x + (-6) and add 6 to both sides to get x = -1 + 6

which is x = 5

7 0
3 years ago
Can anyone help me on this ;-;
MrMuchimi

B, C, A are collinear because they lie on the same line.  

D, C, A are not collinear because they do not lie on the same line

5 0
3 years ago
Trigonometric functions: what is the value of x?
Airida [17]

Answer:

x ≈ 19.7

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin66° = \frac{opposite}{hypotenuse} = \frac{18}{x} ( multiply both sides by x )

x × sin66° = 18 ( divide both sides by sin66° )

x = \frac{18}{sin66} ≈ 19.7 ( to the nearest tenth )

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He has sixteen toys in total
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