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3 years ago

Solve the equation 4/15=2/y+8

Mathematics

2 answers:

suter [353]3 years ago

6 0

Answer:

-0.258620689

Step-by-step explanation:

miv72 [106K]3 years ago

4 0

Answer:

y = - $\frac{1}{2}$

Step-by-step explanation:

Given

$\frac{4}{15}$ = $\frac{2}{y+8}$ ( cross- multiply )

4(y + 8) = 30 ← distribute left side

4y + 32 = 30 ( subtract 32 from both sides )

4y = - 2 ( divide both sides by 4 )

y = $\frac{-2}{4}$ = - $\frac{1}{2}$

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Why is the measure angle of y

Nataly [62]

Step-by-step explanation:

x + x + x = 90°

3x = 90°

x = 90/3 = 30

x = 30°

now,

apply angle sum property to find the value of y

as, x = 30

so,

30 + 90 + y = 180

120 + y = 180

y = 180 - 120 = 60

y = 60° ans.

therefore, option B is correct

hope this answer helps you!

8 0

3 years ago

Please answer question three and four if you can :)<br> Show full working out ty;)

nikklg [1K]

Step-by-step explanation:

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

$D = ( \frac{2 + 5}{2}, \: \: \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \: \: \frac{ 1}{2} ) \\ \therefore D= (3.5, \: \: 0.5) \\ \& \: A=(-1,\:\:4)...(given) \\\\ now \: by \: distance \: formula \\ \\ Length \: of \: segment \: AD \\ = \sqrt{( - 1 - 3.5)^{2} + {(4 - 0.5)}^{2} } \\ = \sqrt{(4.5)^{2} + {(3.5)}^{2} } \\ = \sqrt{20.25 + 12.25 } \\ = \sqrt{32.5} \\ \red{ \boxed{\therefore Length \: of \: segment \: AD = 5.7 \: units}}$

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

$\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\$

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

$LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS$

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0

4 years ago

Evaluate: 500 – 203.94

noname [10]

The answer is B) 296.06

4 0

3 years ago

Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?

aliya0001 [1]

Answer: It is 18

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

(-3/4)x + 25 = (1/8)x - 3<br> Find x and show your work<br><br> No links please!

Ann [662]

Step one =

-3/4x + 25 -1/8x = 1/8x = 1/8x -3 - 1/8x

-7/8x + 25 = -3

Step two =

-7/8x + 25 - 25 = -3 - 25

-7/8x = -28

Step three =

(8/-7) * (-7/8x) = (8/-7) * (-28)

Answer

X = 32

7 0

3 years ago

Read 2 more answers