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sladkih [1.3K]
3 years ago
8

Which of the following is equivalent to -12(3 - 5)?

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0

-12(3 - 5)

-12 x 3 + - 5 x -12

-36 + 60 = 24

bulgar [2K]3 years ago
5 0

Which of the following is equivalent to -12(3 - 5)?  

-12(-8)

-12(3) + (-12)(5)  

-12(3) - (5)  

-12(3) - (-12)(5)

Answer:

-12(-8)

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Find the slope between (-4,1) and (-2,-2)
alukav5142 [94]

Answer:

-1.5

Step-by-step explanation:

y=-1.5x-5

7 0
3 years ago
2. You throw a softball straight up into the air at a velocity of 30 feet per second. You release the softball at a height of 5.
nadya68 [22]

Answer:

-16t^2+30t+5.8

Step-by-step explanation:

We are given that

Initial velocity=30 ft/s

Initial position=s_0=5.8 ft

We have to write a mathematical model for height of the softball by using the position equation

The position equation on Earth's surface is given by

h(t)=-16t^2+v_0t+s_0

Where v_0= Initial velocity

s_0=Initial position

Substitute the values in the equation then, we get

h(t)=-16t^2+30t+5.8

Hence, the mathematical model for height of the softball is given by

-16t^2+30t+5.8

5 0
3 years ago
ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (
harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
  • Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

  • AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

  • Plug in the values

\frac{8.1}{5.4} = \frac{AE}{2.6}

  • Cross multiply

5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06

  • Divide both sides by 5.4

AE = \frac{21.06}{5.4} = 3.9 $ cm

<u>b. </u><u>Find the length of </u><u>AB:</u>

AB = AC - BC

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

  • Plug in the values

\frac{6.15}{BC} = \frac{8.1}{5.4}

  • Cross multiply

BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1

  • Thus:

AB = AC - BC

  • Substitute

AB = 6.15 - 4.1\\\\AB = 2.05 $ cm

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

Learn more here:

brainly.com/question/14327552

3 0
2 years ago
Find the common difference of the arithmetic sequence.
slavikrds [6]
Each time you are subtracting 1/9 to get the next term

For example, going from term 2 to term 3 is a difference of -1/9

(1 8/9) - (1/9) = 1 7/9

which is why the answer is choice A
7 0
3 years ago
Solve x2 + 15x = –56.
Black_prince [1.1K]
15x = 7x + 8x

x^2+15x=-56\\\\ x^2+15x+56=0\\\\ x^2+7x+8x+56=0\\\\x(x+7)+8(x+7)=0\\\\ (x+7)(x+8)=0 \\\\ x=-7 \ or \ x=-8
6 0
3 years ago
Read 2 more answers
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