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2 years ago

Find the slope of the line that goes through each pair of points. (-1,7) and (5,7)

Mathematics

1 answer:

Georgia [21]2 years ago

5 0

Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-7)/(5-(-1))

m=0/(5+1)

m=0/6

m=0

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Which statement could be used in step 2 when proving x =

Marianna [84]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0+ (2x + 1)

ElenaW [278]

$\displaystyle\lim_{x\to0^+}(2x+1)\cot x=\lim_{x\to0^+}\frac{2x+1}{\tan x}$

As $x\to0$ , the numerator approaches 1 while $\tan x\to0$ , but since $x\to0$ from above we have $\tan x>0$ , which suggests the limit is $+\infty$ .

3 0

2 years ago

Could ΔABC be congruent to ΔADC by SSS? Explain. Yes, but only if AB ≅ DC. Yes, but only if BC ≅ DC. No, because AB is not congr

Sonbull [250]

Answer:

Yes, but only if BC ≅ DC; Option B

Step-by-step explanation:

There are 4 possible ways to determine whether two triangles are congruent, and they are the following ;

ASA ( Angle - Side - Angle ),

SAS ( Side - Angle - Side ),

AAS ( Angle - Angle - Side ), and

SSS ( Side - Side - Side )

It is known here that we must prove these triangles congruence through SSS. A triangle can thus be made possible through the congruence of corresponding sides;

Now if we were to create these triangles it would be that BC and DC are, if the triangles were to coincide with one another, the apparent same length if it were that these two Δs really are ≅. Thus;

Solution; Yes, but only if BC ≅ DC

5 0

3 years ago

Rampur Sarpanch requested one of his villager to donate a 6m wide land adjusted to his 132.8m long side of his right triangular

Furkat [3]

Answer:

The answer is 3030.72 m³

Step-by-step explanation:

Please refer to attached file for graphical representation.

Formulas used:

Area = (a*b)/2

Trigonometry: Tan (t) = opposite/adjacent

Assume:

Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B

Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x

Angle common between them is t.

Step 1:

For t:

Tan (t) = a/b

Tan (t) = 123/50

Tan (t) = 2.46

Step 2:

For y:

Tan (t) = y/x

2.46 = y/6

y = 2.46*6

y = 14.76

Step 3:

Villagers old plot area: B = (a*b)/2 = (123*50)/2

B = 3075 m³

Step 4:

Plot donated area: C = (x*y)/2 = (6*14.76)/2

C = 44.28 m³

Step 5:

Villager remaining plot:

A = B-C

A= 3075-44.28

A = 3030.72 m³

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7 0

3 years ago

How much will $850 amount to be in three years if it is invested at 8% interest compounded quarterly for 3 years? A. $886.47 B.

Dimas [21]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$850\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, so four times}
\end{array}\to &4\\

t=years\to &3
\end{cases}$

7 0

2 years ago