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OleMash [197]
4 years ago
13

Determine if y = 5 is a solution for 2y = 15.

Mathematics
2 answers:
kodGreya [7K]4 years ago
6 0

Answer:

y=7.5

Step-by-step explanation:

Greeley [361]4 years ago
4 0

Answer:

y=5 does not equal 2y=15

Step-by-step explanation:

If you plug y into the equation we get 2(5)=15

The next step is to multiply 2*5, which equals 10

10≠15

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A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and
Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.​

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

Hypotenuse^2=Base^2+Perpendicular^2

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

(9.85)^2=x^2+(x+5)^2

97.0225=x^2+x^2+10x+25

0=2x^2+10x+25-97.0225

0=2x^2+10x-72.0225

Here, a=2, b=10,c=-72.0225. Using the quadratic formula, we get

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}

x=\dfrac{-10\pm \sqrt{676.18}}{4}

Approximating the value, we get

x=\dfrac{-10\pm 26}{4}

x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}

x=\dfrac{16}{4},\dfrac{-36}{4}

x=4,-9

Distance cannot be negative so x\neq -9.

Now we have x=4

x+5=4+5

x+5=9

Therefore, the base is 4 m and the height is 9 m.

5 0
3 years ago
What is the polynomial function of least degree whose only zeros are -4,2, and 3?
Anton [14]

Answer:

never heard about it

Step-by-step explanation:

3 0
3 years ago
How do you simplify the answer for 185/200
butalik [34]

Answer:

37/40

Step-by-step explanation:

Divide by 5 to both numbers, since they both end in a 0 or 5.

185/5= 37

200/5= 40

I believe this is your answer since it cannot be simplified anymore.

8 0
4 years ago
Read 2 more answers
Find the value for the following determinant.<br><br><br><br> -32<br> -42<br> 42
hjlf
Using the rule for 2x2 matrices,

\begin{vmatrix}a&b\\c&d\end{vmatrix}=ad-bc

the determinant for your matrix is

\begin{vmatrix}5&-4\\8&2\end{vmatrix}=5\times2-(-4)\times8=42
4 0
4 years ago
Read 2 more answers
I don't understand how I'm suppose to find the height of point A above the ground...I don't get it.
olga_2 [115]
Yes.. exactly what the question says.. the graph has a line at bottom then 2 poles a right and left.. you measure from the straight line across to the point A at left pole.

~Hope This Helps~

5 0
4 years ago
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