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3 years ago

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1 / 4^-2 = ____

Mathematics

2 answers:

vazorg [7]3 years ago

7 0

Answer:

Step-by-step explanation:

1/4^-2

Express with a positive exponent

4^2

Evaluate the power

<h2>Solution: <u>16</u></h2><h2>∵</h2>

lions [1.4K]3 years ago

5 0

$\frac{1}{4^{-2}}=\frac{1}{\left(\frac{1}{4}\right)^2}=\frac{1}{\frac{1}{4^2}}=4^2=16$

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Find xyz (plz answer it properly )

Airida [17]

Answer:

<ABC=50

<EDB=30

<DFC=60

Step-by-step explanation:

<ABC=50 BECAUSE ANGLE SUM PROPERTY

90+40+50=180

<EDB=30 BECUSE ANGLE SUM PROPERTY

100+50+30=180

<DFC=60 BECAUSE ANGLE SUM PROPERTY

30+90+50=180

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3 0

3 years ago

What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x/4+5 ?

worty [1.4K]

Answer:

y = -4x+15

Step-by-step explanation:

y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5

swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:

1/4 --------> 4/1 -------> -4/1 = -4

y = -4x+n

Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":

7=-4*2+n ------> 7=-8+n -------> 7+8 = n -------> 15=n

substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15

8 0

3 years ago

Solve the system of equations 7x+10y=36 y=2x+9

Damm [24]

Answer:

x = -2

y = 5

Step-by-step explanation:

Given two equations

1. 7x + 10y = 36

2. y = 2x + 9

Substitute 2x + 9 for y in equation 1.

We have

7x + 10y = 36

7x + 10(2x + 9) = 36

Distribute 10 into (2x + 9)

We have

7x + 10 x 2x + 10 x 9 = 36

7x + 20x + 90 = 36

27x + 90 = 36

Subtract 90 from both sides to eliminate 90 on the left side

27x + 90 - 90 = 36 - 90

27x = -54

Divide both sides by 27 to isolate x

27x/27 = -54/27

x = -2

Now substitute -2 into either equation to get y

Using equation 2, we have

y = 2x + 9

= 2 x -2 + 9

= -4 + 9

= 5

x = -2

y = 5

Check

7(-2) + 10(5) = 36

5 0

3 years ago

Please solve for x z=m+x

SIZIF [17.4K]

Answer:

x = z - m

Step-by-step explanation:

<u>Solving for x with steps:</u>

z=m+x
x + m = z
x + m - m = z - m
x = z - m

3 0

3 years ago

Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25+4 represents the height y in inches over time x in wee

Naya [18.7K]

Answer:

Step-by-step explanation:

Allow me to rewrite your question and hope it will fit the original one:

<em>Jackson recorded the growth of a plant over 10 weeks. The equation </em><em>y=0.25x+4</em><em> represents the height y in inches over time x in weeks what does the y intercept represent In terms of the situation</em>

My answer:

As we know that y intercept is the value of y at the point where the line crosses the y axis (the value of x =0)

So in this situation, if x= 0, it means the height of the tree (y-intercept) initially be at 4 at week 0.

Hope it will find you well.

5 0

3 years ago