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3 years ago

What is 9/4 (5/6 - 11/15)

Mathematics

1 answer:

Gnoma [55]3 years ago

8 0

Answer:

9/40

Step-by-step explanation:

9/4 (5/6 - 11/15)

9/4 (1/10)

= 9/40

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Point X outside a circle is 34 cm from the center of the circle.

scoundrel [369]

Answer:

Right option is c 16 cm

Step-by-step explanation:

From the question,

The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.

Using pythagoras theorem,

a² = b²+c²...................... Equation 1

Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.

Given: a = 34 cm, b = 30 cm.

Substitute into equation 1

34² = 30²+c²

c² = 34²-30²

c² = 1156-900

c² = √256

c² = 16 cm.

Hence the right option is c 16 cm

7 0

2 years ago

Which property is used in the first step to solve this equation?

melomori [17]

Answer:

distributive property

Step-by-step explanation:

we know the distributive property states that the multiplication of a number (in this case, the number 4) by a sum (in this case is a subtraction: x-6) is equal to the sum of the multiplications of that number for each of the terms that belong to the sum:

we have: 4(x-6)

we apply the distributive property, so we have

4(x-6)=4*x-4*6

4(x-6)=4x-24

7 0

3 years ago

Lia finds a second dress that was originally $72.00 and now was marked 15% off. How much did she pay for the second dress?

dybincka [34]

Answer:

The answer is $61.20

Step-by-step explanation:

First you multiply 72 by .15 (which is 15% converted to a decimal), which gives you 10.8. You then subtract 10.8 from 72.

4 0

3 years ago

I need help for the equation 24 tenths - 1 one 3 tenth, Please and thank you!! :-)

Angelina_Jolie [31]

Answer: 1.1

Step-by-step explanation:

2.4 - 1.3 = 1.1

3 0

3 years ago

What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S

Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is $y=\frac{1}{3} x+2$

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3

And as the line passing through (-3,1) and is perpendicular to 3x + y = -8, product of slopes of two line will be -1 as lies are perpendicular.

Let required slope = x

$\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}$

So we need to find the equation of a line whose slope is $\frac{1}{3}$ and passing through (-3,1)

Equation of line passing through $(x_1 , y_1)$ and having lope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}$

Substituting the values we get,

$\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}$

Hence the required equation of line is found using slope intercept form

4 0

3 years ago