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Liono4ka [1.6K]
3 years ago
7

X(4-k)=p solve for k

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0
Distribute
4x-kx=p
minus 4x both sides
-kx=p-4x
divide both sides by -x
k=\frac{p-4x}{-x}
k=\frac{4x-p}{x}
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Which trigonometric ratios are correct for triangle ABC? Check all that apply
sergij07 [2.7K]
Consider an angle M with measure m≠90°, in a right triangle.

Let

OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and 
HYP denote the hypotenuse.

then: 

Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ


Back to our problem, 

using the Pythagorean we can find the length of AB: 

|AB|^2+|AC|^2=|BC|^2\\\\|AB|^2+9^2=18^2\\\\|AB|^2=18^2-9^2\\\\|AB|^2=(18-9)(18+9)=9 \cdot 27=9 \cdot 9 \cdot3\\\\|AB|=9 \sqrt{3} 


Sin(C)= \frac{OPP}{HYP}=\frac{9 \sqrt{3} }{18}= \frac{ \sqrt{3} }{2}
Cos(B)= \frac{ADJ}{HYP}= \frac{9 \sqrt{3}}{18}= \frac{ \sqrt{3}}{2}
Tan(C)= \frac{OPP}{ADJ}= \frac{9 \sqrt{3} }{9}= \sqrt{3}
Sin(B)= \frac{OPP}{HYP}= \frac{9}{18}= \frac{1}{2}
Tan(B)= \frac{OPP}{ADJ}= \frac{9}{9 \sqrt{3}}= \frac{1}{ \sqrt{3} }= \frac{ \sqrt{3}}{3}


Answer: 1, 3, 4



5 0
3 years ago
Can you solve 2|x+4|<-10
Umnica [9.8K]

Answer: no solution

Step-by-step explanation: the answer will be negative

7 0
3 years ago
What is 3 x ? = 24 ?
andrew11 [14]

Answer:24

Step-by-step explanation:

Say you have 8 cookies and 3 groups if you have 8 cookies per group you have 24 cookies in total

3 0
4 years ago
Read 2 more answers
PLEASE HURRY Write the equation as a single logarithm 3log(x-2)+2log(x+2)
zubka84 [21]

Answer:

3\,log (x-2)+2\,log(x+2) can be written as the single logarithm:

log((x-2)^3\,(x+2)^2)

Step-by-step explanation:

Start by using in both terms of the expression the property of logarithm of a power that states:

log(a^b)=b\,*\,log(a)

so we recognize that the factor that multiplies each logarithmic expression, can be understood as the power of the argument of the function logarithm:

3\,log(x-2)=log((x-2)^3)\\and\\2\,log(x+2)=log((x+2)^2)

Then we use the property of logarithm of a product which states that:

log(a*b)=log(a)+log(b)

So now we recognize the expression:

log((x-2)^3)\,+\,log((x+2)^2)

as the logarithm of the product:

log((x-2)^3\,(x+2)^2)

which is finally a single logarithm as requested.

5 0
3 years ago
(X+5)(x-7) simplify the expression
noname [10]
(X+5)(x-7)
Perform FOIL
x^2-7x+5x-35
Add 5x to -7x
<span>Final Answer: x^2-2x-35</span>
7 0
3 years ago
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