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liubo4ka [24]
3 years ago
7

Which expressions are equivalent when m=1 and m=4?

Mathematics
2 answers:
allsm [11]3 years ago
8 0
B. 3m+4 and m+4+2m

3(1)+4  (1)+4+2(1)
3+4       5+2
7           7

3(4)+4    (4)+4+2(4)
12+4       8+8
16           16
oee [108]3 years ago
7 0

Answer:

b

Step-by-step explanation:

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A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
4 years ago
What is the solution to this equation?<br><br> 8x - 5 (x-3) = 18
Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

3 0
3 years ago
A blank is a unit rate with a denominator of 1 unit
Dima020 [189]
It is 3. That's the correct answer

6 0
3 years ago
Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have
astraxan [27]

Answer: No, because 4(2) + 4 ≠ 9

Step-by-step explanation:

No, because 4(2) + 4 ≠ 9

7 0
3 years ago
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A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres
lina2011 [118]
The correct answer is 
A) x^2 - 6x + 9

In fact, this is a trinomial of the form ax^2-bx+c, whose solutions are given by
x_{1,2}=  \frac{-b\pm \sqrt{b^2 -4ac} }{2a}
Using this formula for the trinomial of the problem, we find:
x1,2=  \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3
<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form: 
</span>(x-3)^2<span>
</span>
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3 years ago
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