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3 years ago

Evaluate 4a^0 where a = -2

Mathematics

2 answers:

Reil [10]3 years ago

5 0

4
Explanation:
4(-2)^0= 4(1)= 4

Paul [167]3 years ago

3 0

Answer:

$4a^0 = 4 \times 1 = 4$

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Select the two statements that are true about the equation −10=60(−40)

Aleksandr-060686 [28]

Answer:

The slope of the line is 60

One point on the line is (40, 10)

Step-by-step explanation:

The missing choices are :

1) The slope of the line is 10

2)One point on the line is (40, 10)

3)The slope of the line is 60

4)One point on the line is (10, 60)

Given the equation y−10=60(x−40), applying distributive property we get:

y−10=60x - 60*40

t = 60x - 2400 + 10

t = 60x - 2390

The slope is the number that multiplies x, that is, 60.

To check if the point (40, 10) belongs to the equation, replace the values x = 40 and y = 10 in the equation, as follows:

(10)−10=60((40)−40)

0 = 0

The same number appear at both sides of the equal sign, then the point (40, 10) is on the line. Analogously, for point (10, 60):

(60)−10=60((10)−40)

50 = 60*(-30)

50 = -1800

The two numbers are different, then, the point (10, 60) is not on the line.

4 0

3 years ago

Read 2 more answers

Solve by completing the square ( need it asap pls) x2+18x+81=-4 -don’t send link-

Sholpan [36]

Answer:

x=2.17

Step-by-step explanation:

$x^2$ +18x+81=-4

-81 -81

$x^2$ +18x= -85

/18 /18

$x^2$ = -4.7

$\sqrt{x^2}$ = $\sqrt{-4.7}$

x= 2.17

I hope this helps :) (if it does, brainliest, please??)

6 0

3 years ago

In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?

Romashka [77]

Answer:

C. L LAM = L LBM

Step-by-step explanation:

__________

3 0

2 years ago

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

Members of a community center are planning a field trip to the zoo. More than 50 people will go on the trip. Ten people are prov

slava [35]

The answer is 5(k+10)>50

6 0

3 years ago

Read 2 more answers