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Greeley [361]
2 years ago
14

X^2-10x = −16 solution??

Mathematics
2 answers:
Maru [420]2 years ago
6 0
X^2-10x+16= 0
(x-8)(x-2)=0
x = 8 or 2
adoni [48]2 years ago
6 0
X^2-10x=-16
x^2-2x-8x+16=0
x(x-2)-8(x-2)=0
(x-2)(x-8)
x=2,8
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Please help me ive never done one like this
inessss [21]

Given:

DE = (6x - 9) cm

EF = (4x + 4) cm

LM = 14 cm

MN = 16 cm

To find:

The value of x.

Solution:

<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>

$\Rightarrow \frac{DE}{EF} =\frac{LM}{MN}

$\Rightarrow \frac{6x-9}{4x+4} =\frac{14}{16}

Do cross multiplication.

$\Rightarrow 16( {6x-9})=14 ({4x+4} )

$\Rightarrow 96x-144=56 x+56

Add 144 on both sides.

$\Rightarrow 96x-144+144=56 x+56+144

$\Rightarrow 96x=56 x+200

Subtract 56x from both sides.

$\Rightarrow 96x-56x=56 x+200-56x

$\Rightarrow 40x=200

Divide by 40 on both sides, we get

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The value of x is 5.

5 0
2 years ago
If you get the answer can you also explain how you go it
Salsk061 [2.6K]
C I’m pretty sure, if wrong I’m sorry
3 0
3 years ago
Read 2 more answers
Ray BD bisects 2ABC. Use the diagram and the given angle measure to
Alenkinab [10]
Assuming you mean angle ABC and not 2ABC?
Since ray BD bisects angle ABC we can set the two angle measures given equal to each other.
2x+7=4x-41
Solve for x=24
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5 0
2 years ago
What is the simplest form of the expression below?
sineoko [7]

Answer:

(B) cot Theta

Step-by-step explanation:

We want to simplify the expression:

\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }

Now:

\dfrac{ cos\theta}{sin\theta } =cot\theta\\\dfrac{ sin\theta}{cos\theta }=tan \theta\\$Substituting these into the expression\\\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }=cot\theta cot\theta X\dfrac{tan\theta}{\frac{tan\theta}{ tan \theta}  }\\=cot\theta cot\theta X tan\theta$  (Since cot\theta X tan\theta =1) \\$Therefore our result:\\=cot\theta

3 0
3 years ago
Read 2 more answers
Numbers 11-14 pls I’m having a lot of trouble
Ksivusya [100]

The term "closed" in math means that if you take two items from a set, do some operation, then you'll always get another value in the same set (sometimes you may get the same value as used before). For example, adding two whole numbers leads to another whole number. We therefore say "the set of whole numbers is closed under addition". This applies to integers as well because integers are positive and negative whole numbers. So we can say that integers are closed under addition.

Integers are not closed under division. Take two integers like 2 an 5 and divide: 2/5 = 0.4 which is not an integer. Integers don't have decimal parts.

The set of whole numbers is {0,1,2,3,...} and we can subtract the two values 1 and 2 to get 1-2 = -1. The order matters here. Subtracting a larger value from a smaller leads to a negative. The value -1 is not in the set of whole numbers. So we can say that whole numbers is not closed under subtraction

Finally, the set of irrational numbers is closed under addition. Adding any two irrational numbers leads to another irrational number. For instance, pi+sqrt(2) = 3.142 + 1.414 = 4.556; I'm using rounded decimals as approximate values. An irrational number is one where we cannot write it as a fraction of integers. Contrast that with a rational number in which we can write it as a fraction of integers. Example: 10 = 10/1 is a rational number.

6 0
3 years ago
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