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2 years ago

Write y=-5/8x+3 in standard form using integers?

Mathematics

1 answer:

Ivenika [448]2 years ago

6 0

Answer:

standard form of given equation is 5x - 8y = -3

Step-by-step explanation:

$y= \frac{5}{8}x + 3$

Standard form of linear equation is Ax + By = C

First we remove the denominator 8

We multiply the whole equation by 8

So equation becomes

8y = 5x + 3

Now we move 5x to the left hand side, we subtract 5x on both sides

-5x + 8y = 3

Now we remove the negative side from -5x by dividing the whole equation by -1

5x - 8y = -3

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Find the area of the shape shown below.

Kruka [31]

24 x 8 = 192

192 / 2 = 96

I am not sure if my answer is true.

7 0

3 years ago

If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.

Lelechka [254]

Answer:

$\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }$

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

$f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)$

So we can say that

$a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}$

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

$(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab$

and we can notice that

$a^2+b^2=(a+b)^2-2ab$ so

$(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab$

it comes

$x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}$

multiply by 3

$3x^2-20x+2*16+5=3x^2-20x+37$

4 0

2 years ago

Explain how the commutative property of addition,the Associative property of addition and mental math can help you find 75.2+(57

4vir4ik [10]

Answer: The sum of 75.2+(57.376+24.8) is 157.376.

Explanation:

The commutative property of addition states that,

$a+b=b+a$

The associative property of addition states that,

$a+(b+c)=(a+b)+a$

The given expression is 75.2+(57.376+24.8).

First use commutative property of addition in the parenthesis.

$75.2+(57.376+24.8)=75.2+(24.8+57.376)$

Now use associative property of addition.

$75.2+(24.8+57.376)=(75.2+24.8)+57.376$

Now simplify the expression,

$(75.2+24.8)+57.376=100+57.376$

$(75.2+24.8)+57.376=157.376$

Therefore, the sum of 75.2+(57.376+24.8) is 157.376.

7 0

2 years ago

Read 2 more answers

I need help with exercises 3,4, and 6 please show all work and don’t answer number 5 just tell me if it is correct

joja [24]

*If you need me to do #5, DM me!

3. The area of a triangle can be given by (just plug and chug as always):
$A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2$
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
$A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2$
$A_r = bh = 12(8) = 96m^2$
Now we just add them:
$96+12 = 108m^2$

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
$A_t = \frac{1}{2}bh$
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
$A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2$
Multiply by 4 to get total area:
$6.25*4 = 25cm^2$

So, the area of the given rhombus is 25cm².

8 0

3 years ago

An institute reported that 62?% of its members indicate that lack of ethical culture within financial firms has contributed most

AlladinOne [14]

Step-by-step explanation:

using normal distribution aproximation

Check attachment

5 0

2 years ago