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3 years ago

Given the formula below, solve for x.

Mathematics

1 answer:

san4es73 [151]3 years ago

4 0

Answer:

Option (C)

Step-by-step explanation:

Given formula of a line passing through $(x_1, y_1)$ and slope 'm' is,

$y-y_1=m(x-x_1)$

Further solving this equation,

$y-y_1=mx-mx_1$ [By distributive property]

$y-y_1+mx_1=(mx-mx_1)+mx_1$ [By adding $mx_1$ on both the sides]

$y-y_1+mx_1=mx$

$\frac{y-y_1-mx_1}{m}=\frac{mx}{m}$ [Divide the equation by m]

$\frac{y-y_1}{m}-x_1=x$

Therefore, Option (C) will be the answer.

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The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm

klemol [59]

Answer:

$x^2-10x+18=0$

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

$20=2(x + w)$

Let's put w in terms of x. Divide both sides by two:

$10=x+w$

And solve for w:

$w=10-x$

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

$x^2+w^2=8^2$

Simplify and substitute:

$x^2+(10-x)^2=64$

Square:

$x^2+(100-20x+x^2)=64$

Isolate the equation. So:

$2x^2-20x+36=0$

Since the leading coefficient is one, divide both sides by two:

$x^2-10x+18=0$

Therefore, a = -10 and b = 18.

6 0

2 years ago

Would you please help me? Thanks.

Butoxors [25]

The best answer is D.

According to the pythagorean theorem, a^2+b^2=c^2 in a right triangle where a and b are the legs and c is the hypotenuse.

The diagram given gives the length of both legs, so plug it into the equation to get c^2= 24^2+45^2

7 0

3 years ago

Read 2 more answers

A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.

fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T) = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15 = 15/32

8 0

3 years ago

Read 2 more answers

A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag con

telo118 [61]

Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

$\frac{170}{17}$ = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

7 0

3 years ago

Fractions order from least to greatest Which is the right answer? Pls help ill give brainliest!!

olya-2409 [2.1K]

Answer:

2/5, 4/7, 5/2

Step-by-step explanation:

5/2=2.5 2/5=.40 4/7= .59 that's aproximately for 4/7

8 0

3 years ago