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2 years ago

The lengths in cm, of the sides of a triangle are 3x - 5, 2x-1 and x+1

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

3 0

Answer:

a) p = 6x - 5

b) x = 6

Step-by-step explanation:

a) p = a + b + c

p = 3x - 5 + 2x - 1 + x + 1

p = 6x - 5

b) p = 6x - 5 =31

6x - 5 = 31

6x = 36

x = 6

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

$y = - 3 {x}^{2} + 48x - 195$

We factor -3 from the first two terms to get:

$y = - 3( {x}^{2} - 16x) - 195$

Add and subtract the square of half the coefficient of x

$y = - 3( {x}^{2} - 16x + 64) + 3 \times 64- 195$

$y = - 3 {(x - 8)}^{2} + 192 - 195$

We simplify to get:

$y = - 3 {(x - 8)}^{2} - 3$

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0

3 years ago

When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel

xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0

3 years ago

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Please explain...<br> y=3x^2-5x+1 solve by completing the square

xeze [42]

Answer:

x=5+√136or x=5−√136

Step-by-step explanation:

To solve this equation we have to factorize 3x2−5x+1. Since we can not use any

3 0

2 years ago

Hat is the value of x in the equation −x = 3 − 4x + 15? −18 −6 6 18

nadya68 [22]

I believe that x is equal to 6. x=6

7 0

2 years ago

HELP ME PLEASE I NEED HELP

Olin [163]

Step-by-step explanation:

You should prolly subtract 2 from both sides first.

So you get, -|2/5x + 3| > -1 2/5

Add three to both sides
-|2/5x| = -1 2/5
Do -1 and 2/5 divided by 2/5 to get -3.5, x > -3.5

One of the answers is x > -3.5 but you need to switch the sign to less than and make the other side the opposite.

$-( \frac{2}{5}x + 3 ) < 1 \frac{2}{5}$

You see that, switched the sign and made whats on the right side opposite. So now solve for x again but with this new equation. Also, the parentheses are absolute value signs

Subtract 3 from both sides

-|2/5x| < -1 and 3/5

Divide 2/5 from each side to get x < -4

I hope I'm correct, my bad if I'm wrong

6 0

3 years ago

Read 2 more answers