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3 years ago

Find the average rate of change of the function f(x) equals -1X^2-4x-3 from x=-1 to x=5

1 answer:

vladimir2022 [97]3 years ago

7 0

$\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=-x^2-4x-3 \qquad \begin{cases} x_1=-1\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(-1)}{5-(-1)} \\\\\\ \cfrac{[-(5)^2-4(5)-3]~~-~~[-(-1)^2-4(-1)-3]}{5+1} \\\\\\ \cfrac{[-25-20-3]-[-1+4-3]}{6}\implies \cfrac{[-48]-[0]}{6}\implies \cfrac{-48}{6}\implies -8$

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Pls help and no unnecessary typin* I will report

satela [25.4K]

$\large\bf{\underline{Given :}}$

An isosceles triangle ABC
AD is a bisector of ∠‎A

__________________________________________

$\large\bf{\underline{To \:prove :}}$

BD = DC

__________________________________________

$\large\bf{\underline{In \: triangle \: ABD\:and\: triangle\:ADC}}$

${⟹AD = AD\:\:\:\:\:\:\:\:\:\:\:\:\:\:( common)}$

${⟹∠BAD = ∠CAD\:\:\:\:\:\:\:\:\:( given : AD \:is \:bisector \:of \:∠A )}$

${⟹∠ABD = ∠ACD\:\:\:\:\:\:\:\:\:( given : angles\: in \:isosceles\: trianlge )}$

$\large\bf{\underline{Hence}}$

By ASA criteria ∆ABD congurant to ∆ADC

__________________________________________

$\large\bf{\underline{So}}$

By CPCT ( corresponding parts of congurant triangle )

$\large\bf{BD = DC}$

__________________________________________

$\large\bf{\underline{Note :}}$ Slide to view full answer.

6 0

3 years ago

Read the following statement: Line segment CD is congruent to line segment EF. Which of the following is an equivalent statement

Natasha_Volkova [10]

An equivalent statement is CD overbar congruent to EF overbar.

What is a line segment?

The line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.

Here,

Line segment CD is congruent to line segment EF and in geometry, an overbar represents a line segment.

So, we can say that the CD overbar means line segment CD and the EF overbar means line segment EF.

Hence, An equivalent statement is CD overbar congruent to EF overbar.

To learn more about the line segment from the given link

brainly.com/question/17374569

#SPJ1

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1 year ago

PLEASE HELP ME!! What is 3,200 as a product of its factors?? This for 6th grade

lakkis [162]

Answer:

3,200 is first divided by 2 which is smallest prime number . Then the answer is get 1,600 . Again this number is divided by 2 then answer is 800 . This step is continues for all time . So , it is again divided by 2 then answer comes 400 then divided answer comes 200. Then again divided by 2 then answer is 100 and again divided by 2 then answer is 50 again divided by 2 then answer is 25. now we cannot divided by 2 this number 50. Then what to do? we have to use prime number .so we have to divided by 5 then answer is 5. In last ,for checking we have to multiply all this prime number to check this answer.

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2 years ago

Prove whether the following inferences are valid using the long or short truth table method. If they are invalid, give the count

bezimeni [28]

Answer:

Step-by-step explanation:

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2 years ago

What is the simplet form of 7<br> —<br> 12?

inysia [295]

Answer:

-5

Step-by-step explanation:

7−12

=7−12

=7+−12

=−5

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3 years ago