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2 years ago

Which of the following correctly uses absolute value to show the distance between –60 and 11?

Mathematics

1 answer:

MissTica2 years ago

4 0

Answer:

C) |–60 + 11| = |–49| = –49 units

Step-by-step explanation:

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Find the x value y=-6 y=4x+12

vodomira [7]

Answer:

x = -9/2

Step-by-step explanation:

Substitute y = -6 in the second equation.

y = 4x + 12

-6 = 4x + 12

Subtract 12 from both sides.

-18 = 4x

Divide by 4.

-9/2 = x

7 0

2 years ago

Read 2 more answers

In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

The distance between Henry's house and his school is 648 feet. How many yards are equivalent to 648 feet?

vlabodo [156]

Answer:

216 yards

Step-by-step explanation:

There are 3 feet in a yard, so the number of yards is equal to the number of feet divided by 3.

648/3 = 216

5 0

3 years ago

Read 2 more answers

Quadrilateral ABCD is located at A (−2, 2), B (−2, 4), C (2, 4), and D (2, 2). The quadrilateral is then transformed using the r

Mademuasel [1]

New cordinates are formed by adding 7 in x and subtracting 2 from y
A(−2, 2) =A ' (-2 +7 , 2 - 1 ) = A' (5,1)
B(−2, 4) = B' (-2 + 7 , 4 -1 )= B' (5,3)
C(2, 4) = C' (2 + 7 , 4 -1 )= C' (9,3)
D(2, 2) D' (2 + 7 , 2 -1 ) = D' ( 9 , 1)

8 0

2 years ago

For the given equation find the value a, b, and c, determine the direction in which the parabola opens and determine the y-inter

Y_Kistochka [10]

Answer: Table A

Step-by-step explanation:

The coefficient of x^2 is 1, the coefficient of x is -6, and the constant is 0. This means that a = 1, b = -6, and c = 0.

This eliminates tables B and C.

Now, we need to determine if the graph opens up or down to differentiate between A and B. Since the coefficient of x^2 is positive, the graph opens up.

Thus the answer is Table A.

7 0

1 year ago