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3 years ago

Find all real values of x that satisfy the equation x^2 - 7x = 98.

Mathematics

1 answer:

kobusy [5.1K]3 years ago

4 0

Answer: x=14,-7

Step-by-step explanation:

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How to find the slope of two points

NikAS [45]

-- Find how much 'y' changes from the first point to the second one.

-- Find how much 'x' changes from the first point to the second one.

-- The slope of the line going from the first point to the second one is

(change in 'y') / (change in 'x') .

3 0

2 years ago

NO LINKS!!! Part 2: Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.

slava [35]

Answer:

<h3><u>Question 7</u></h3>

<u>Lateral Surface Area</u>

The bases of a triangular prism are the triangles.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

$\implies \sf L.A.=2(10 \times 6)+(3 \times 6)=138\:\:m^2$

<u>Total Surface Area</u>

Area of the isosceles triangle:

$\implies \sf A=\dfrac{1}{2}\times base \times height=\dfrac{1}{2}\cdot3 \cdot \sqrt{10^2-1.5^2}=\dfrac{3\sqrt{391}}{4}\:m^2$

Total surface area:

$\implies \sf T.A.=2\:bases+L.A.=2\left(\dfrac{3\sqrt{391}}{4}\right)+138=167.66\:\:m^2\:(2\:d.p.)$

<u>Volume</u>

$\sf \implies Vol.=area\:of\:base \times height=\left(\dfrac{3\sqrt{391}}{4}\right) \times 6=88.98\:\:m^3\:(2\:d.p.)$

<h3><u>Question 8</u></h3>

<u>Lateral Surface Area</u>

The bases of a hexagonal prism are the pentagons.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

$\implies \sf L.A.=5(5 \times 6)=150\:\:cm^2$

<u>Total Surface Area</u>

Area of a pentagon:

$\sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}a^2$

where a is the side length.

Therefore:

$\implies \sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}\cdot 5^2=43.01\:\:cm^2\:(2\:d.p.)$

Total surface area:

$\sf \implies T.A.=2\:bases+L.A.=2(43.01)+150=236.02\:\:cm^2\:(2\:d.p.)$

<u>Volume</u>

$\sf \implies Vol.=area\:of\:base \times height=43.011193... \times 6=258.07\:\:cm^3\:(2\:d.p.)$

8 0

1 year ago

PLEASE HELP <br> If I buy 24 tickets for 25 cents each how much money did I spend?

Vladimir [108]

Answer:

$6.00

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Two people play a game. The first person starts with the number 1 and can multiply 1 by any number from 2-9. Then, the second pe

Maru [420]

Answer: player number one

Step-by-step explanation:

Player number one starts with one and then he waits for player number two.

It doesnt matter what player number two makes, he needs to keep his multipliyer in two until player two pasess one millon/9 =111111.11 for the first time, then, he plays 9.

8 0

2 years ago

Shown is a pentagon, with the size of each angle shown. Find the size of the largest angle

sukhopar [10]

Answer:

it is 34 becuas u didvoed

Step-by-step explanation:

3 0

3 years ago