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Alona [7]
3 years ago
11

Apply the distributive property to factor out the greatest common factor. 55 + 35

Mathematics
1 answer:
laila [671]3 years ago
7 0

Answer:5(11+7)

Step-by-step explanation:

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If y varies directly as x and y-21 when x<br> is 7, find x when y = -5.
klasskru [66]

Step-by-step explanation:

Since, y varies directly as x:

\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k =  \frac{21}{7}  = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \:  \: y =  - 5  \: in \: (2)\\  - 5 = 3x \\ x =  \frac{ - 5}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{x =  -  \frac{5}{3} }}

6 0
3 years ago
Read 2 more answers
Isolating a variable in two equations is easiest when one of them has a coefficient 1.
Tomtit [17]

Answer:

Option C.

Step-by-step explanation:

The given equations are

3A-B=5

2A+3B=-4

We need  isolate one of the variables, such that it appears by itself on one side of the equation.

Isolating a variable in two equations is easiest when one of them has a coefficient 1.

In equation 1, coefficient of B is 1. So, we can easily isolate one of the variables.

The equation is

3A-B=5

Subtract 3A from both sides.

-B=5-3A

Multiply both sides by -1.

B=3A-5

Therefore, the correct option is C.

6 0
4 years ago
Which trigonometric functions are negative in the fourth (IV) quadrant?
anzhelika [568]
<h3>Answers are: sine, tangent, cosecant, cotangent</h3>

Explanation:

On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.

Since sine is negative, so is cosecant as this is the reciprocal of sine

csc = 1/sin

In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.

Because tangent is negative, so is cotangent.

The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.

7 0
3 years ago
Maria put trim around a banner that is the shape of a triangle. each side is 22 inches long. maria has 1/2 foot of trim left. wh
marissa [1.9K]
Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.
6 0
3 years ago
Translate the sentence into an equation<br>two more than the product of a number and 8 is 3.​
Bingel [31]

Answer: 8x + 2 = 3

Step-by-step explanation: "two more than" means "add 2" which is +2

The product of 8 and a (unknown) number is 8x

Use the = sign in place of "is"

3 0
3 years ago
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