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3 years ago

Whats an approximate equation of a line that passes through the points (-4.3,2.3) and (1.3,-7.4)

1 answer:

4 0

Use the 2 points to find the gradient of the line
Gradient = (y - y1)/(x - x1), y and y1 are the two different y values.
(2.3 - - 7.4)/(-4.3 - 1.3) = -97/56 = -1.732
Note: y and x both come from the same coordinate, and y1 and x1 also come from the same coordinates - (x , y), (x1 , y1)

Use the following to find the equation (x, x1, y, and y1 are not the same as the first part)
y - y1 = m(x - x1)

Where x2 and y2 is an intersection (one of the coordinates you used) and m is the gradient you found.
So...
y - 2.3 = -1.732(x - - 4.3)
You can simplify this if you are required to.

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Find the value of Y.

Deffense [45]

Answer:

5√3

Step-by-step explanation:

The ratio of side lengths in a 30-60-90 triangle is ...

1 : √3 : 2

Multiplying by 5, we have ...

1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10

The value of y is 5√3.

_____

Additional comment

y is the side adjacent to the 30° angle, so can be found from ...

Cos = Adjacent/Hypotenuse

Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse

y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values

y = 5√3

The value of x is 5.

7 0

1 year ago

Read 2 more answers

100 points and brainiest if correct:

Sophie [7]

Answer: Add 5 to both sides

What is the first step needed to solve 4 over 7 the whole multiplied by x minus 5 equal negative 13?

Answer- Add 5 to both sides

(4/7)x - 5 = -13

• As mentioned above, first step would be,

adding 5 to both sides

=> (4/7)x - 5 + 5 = -13 + 5

=> (4/7)x = -8

• Now, transporting 7 from L.H.S. to R.H.S

=> 4x = -8 × 7

=> 4x = -56

• Now in the same way, transporting 4 from L.H.S. to R.H.S

=> x = (-56/4)

=> x = -14

• And in this way, or taking (Add 5 to both sides) as our first step, we find that the value of x is -14.

∴ x = -14

Hope it helps.

7 0

3 years ago

Please help!!!!! I’ll give brainlyist

Eddi Din [679]

Answer:

l×h×w

16×16×16=4096

7 0

2 years ago

Read 2 more answers

Algebra: Find x ....

luda_lava [24]

Answer:

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{2x+1}{x+4}$ = $\frac{40}{25}$ = $\frac{8}{5}$ ( cross- multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

3 0

3 years ago

Solve for X and Y: Y=2+7x and -2x+6y=-28

Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

y=2+7x....... equation (1)
-2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

$- 2x + 6(2 + 7x) = - 28 \\$

simplify it

$- 2x + 12 + 42x = - 28 \\ 40x + 12 = - 28$

subtract 12 from both sides

$40x + 12 - 12 = - 28 - 12 \\ 40x = - 40$

divide both sides by 40

$\frac{40x}{40} = \frac{ - 40}{40} \\ x = - 1$

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

$y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y = - 5$

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0

1 year ago