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3 years ago

The angle measures 36°, 62°, 118°, and 144° are written on slips of paper. You choose two slips of paper at random.

1 answer:

6 0

1/4 would be the answer. Let me explain why first. You have in total 4 numbers with different out comes when added together. So your equation will start out as 4² = 16 out of the 16 different factors you have 4 sets that equal 180°. Your new fraction would be 4/16 which can be divided by 4 to equal 1/4. Hopes that helps!

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Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial)2x^2 + 6x -

iren2701 [21]

Answer:

2(x+6)(x-3)

Step-by-step explanation:

Factor the GCF out of the trinomial on the left side of the equation.

$2x^2 + 6x - 36 =2(x^2 + 3x - 18)$

Greatest common factor of 2, 6, 18 is 2

so GCF is 2

divide each term when we take out GCF 2

so $2(x^2 + 3x - 18)$

now factor the trinomial

product is -18 and sum is +3

6 times -3 is -18 and 6-3=3

$2(x^2+3x-18)\\2(x+6)(x-3)$

4 0

3 years ago

If the diagonal of a square is 12 to the square root of two then what is the area of the square

erastovalidia [21]

Answer:

Let there be a square ABCD with diagonal AC=12 root 2 cm

Since angles of a square are all 90 degrees

pythagoras theoream

AB^2+BC^2=AC^2

Since all sides of square are equal

2AB^2=(12 root 2)^2

2AB ^2=144*2

AB^2=144

AB= root 144=12 cm

area of square = s^2 =12^2 = 144cm^2

hope it helps

Step-by-step explanation:

3 0

2 years ago

write the linear equation from the given information in slope intercept form passing through (-2,8) and perpendicular to y=2x+5

Leto [7]

Answer:

y = $-\frac{1}{2}$ x + 9

Step-by-step explanation:

Given parameters:

Coordinates = (-2,8)

Equation of the line y = 2x + 5;

Unknown:

Linear equation of a line perpendicular = ?

Solution:

From the given expression, a line perpendicular will have a negative inverse of the slope given.

y = 2x + 5

Equation of a line is y = mx + c;

y and x are the coordinates

m is the slope

c is the intercepts

y = 2x + 5 ;

The slope is 2;

A line perpendicular will have a slope of $-\frac{1}{2}$

Since y = 8 and x = -2, let us find c;

8 = 2 x $-\frac{1}{2}$ + c

8 = -1 + c

c = 8+1 = 9

The equation of the line is;

y = $-\frac{1}{2}$ x + 9

7 0

2 years ago

Solve the equation using multiplication and division.<br> -13 = m/-5

cestrela7 [59]

Answer:

m = 65

Step-by-step explanation:

$-13 = \frac{m}{-5} \\\\(-5)*-13 = \frac{m}{-5} *(-5)\\\\m = 65$

7 0

2 years ago

Which statements are true of the function f(x) = 3(2.5)x? The function is exponential.

Nitella [24]

Answer:

The function is exponential.

The function increases by a factor of 2.5 for each unit increase in x

The domain of the function is all real numbers

Step-by-step explanation:

The function is exponential.

The function increases by a factor of 2.5 for each unit increase in x

The domain of the function is all real numbers

7 0

3 years ago