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suter [353]
4 years ago
12

Take -4 + 3a^2 from 7a - a^2.

Mathematics
2 answers:
ioda4 years ago
7 0
Hint:  \bf (7a-a^2)-(-4 + 3a^2)\implies 7a - a^2+4-3a^2
\\ \quad \\
7a \boxed{-3a^2- a^2}+4\impliedby \textit{add like-terms}
Alexxx [7]4 years ago
7 0

Answer:

-4a^2+7a+4

Step-by-step explanation:

We are asked to take -4+3a^2 from 7a-a^2.

Taking -4+3a^2 from 7a-a^2 means subtracting -4+3a^2 from 7a-a^2 as:

7a-a^2-(-4+3a^2)

Use distributive property:

7a-a^2+4-3a^2

Combine like terms:

-3a^2-a^2+7a+4

-4a^2+7a+4

Therefore, our required expression would be -4a^2+7a+4.

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Is 400,00 has a value of 400.
skad [1K]
No, 40,000 has a value of 40,000
6 0
3 years ago
a dog searching for a bone walks 3.5 m southeast, then 8.2 m at an angle 30 degrees north of east. Find the magnitude of the dog
Anton [14]

Answer:

Step 1: Firstly, we draw both of the axes.

Step 2: We then draw a vector of length 3.5 m (theoretical) along the (-x) axis.  

Step 3: Next, we draw a vector of length 8.2 m from the endpoint towards to top, at an angle of 60° from that point (N.B: 90-30, since it is required to make a 30°∠ with the current vertical; eventually the triangle being formed will be 90° minus the 30°.) Most importantly, the 8.2 m vector should be drawn in such a way so that it is higher than the starting point of the 3.5 m vector.  )

Step 4: Lastly, we draw a 15 m vector from the endpoint of the 8.2 m vector, running above the original vector, and to the left. This one should be drawn on the left side, and must be situated far enough.

∴ Triangle 1 () is of angles 30°, 60° and 90°;

On solving for the vertical side (the slope similar to the 3.5 vector), we get

(8.2/2) m = 4.1 m

Next, we solve for the opposite side via 4.1 × √3= 7.1 m

Moving on to Triangle 2 (),

top side = (15 - 7.1) m = 7.9 m

similarly, right side = (4.1 - 3.5) m = 0.6 m

∴ last side = resultant displacement:

⇒  + (0.6)² = 7.9 m

and, direction of displacement = arcTan(y/x)

= arcTan(0.6/7.9)

= 4.3° north of west

Note: I would appreciate if you give 5 stars, Thank you, and Brainliest

5 0
4 years ago
A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai
liubo4ka [24]
Keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.

\bf \cfrac{76~\underline{feet}}{\underline{sec}}\cdot \cfrac{mile}{5280~\underline{feet}}\cdot \cfrac{3600~\underline{sec}}{hr}\implies \cfrac{76\cdot 3600~mile}{5280~hr}
\\\\\\
\cfrac{570~mile}{11~hr}\approx 51.\overline{81}\frac{mile}{hr}\\\\
-------------------------------\\\\
\textit{how many miles does it do in 3.1hrs?}\quad \cfrac{570}{11}\cdot 3.1
6 0
3 years ago
3c/4 - 2c/3 = 4 (Solve with work please
mars1129 [50]
C = 9/28 = 0.321

https://www.tiger-algebra.com/drill/3c-3/4=2c/3/

3 0
3 years ago
Order from least to greatest: Pie +1, 1/3, 1/10.
Paha777 [63]

Answer:

1/10, 1/3, 1, and pi (3.14)

3 0
4 years ago
Read 2 more answers
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