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anastassius [24]
3 years ago
14

Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15

Mathematics
1 answer:
xenn [34]3 years ago
7 0

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

<u>First question</u>

<h3>a.)</h3>

y = 3x - 4

Comparing with the general equation above

Slope / m = 3

The y intercept / b = - 4

<u>Second question</u>

<h3>b).</h3>

4x - 5y = 15

First we must write the equation in the general equation above by making y the subject

That's

5y = 4x - 15

Divide both sides by 5

That's

\frac{5y}{5}  =  \frac{4}{5} x -  \frac{15}{5}

We have

y =  \frac{4}{5} x - 3

Comparing with the general equation above

Slope = 4/5

Y intercept = - 3

Hope this helps you

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Please help! :)
Volgvan

Answer:

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π  square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

\dfrac{90}{9\pi} =\dfrac{360}{A}

Setting the given statements in proportion:

\dfrac{90}{9\pi} =\dfrac{360}{A}

On solving we get the required

\dfrac{9\pi}{A} =\dfrac{90}{360}

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

\textrm{Area of Circle}=4\times (Shaded\ part)

\textrm{Area of Circle}=4\times 9\pi

\textrm{Area of Circle}=36\pi

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

On solving this we get

A=36\pi\ feet^{2}

8 0
3 years ago
Quickly solve (x+7)2=121, for x. Graph the solution on a number line.
asambeis [7]

Answer:

The value of the x is 53.5 or x=53.5

Step-by-step explanation:

Given data in the question:-      

(x+7)2=121

We have to find the value of x.

Solution:-        

(x+7)2=121\\=>2x+14=121\\=>2x=121-14\\=>2x=107\\=>x=107/2\\=>x=53.5\\

Hence the answer is 53.5

3 0
3 years ago
A resturant sells 10 tacos for 8.49,or 6 of the same kind of taco for 5.40.Which is a better deal
Aliun [14]

Answer:

10 tacos for 8.49 because 6 tacos for 5.40 it's almost a dollar for each.And the deal 10 tacos for 8.49 you pay more but it's better it's not a dollar for each it's like 84 cents for each

3 0
3 years ago
Estimate the circumference of the circle with the given radius or diameter. Use 3.14 for ?. Round to the nearest unit. (Half. 24
Mice21 [21]

Answer:

The perimeter of a circle can be found by using the followinfg expression

P = 2*π*r

where

π = 3.14

r  = radius of the circle = half the diameter of the circle

In this case, if we are given the radius, we use

P = 2*π*r

If we are given the diameter, we use

P = 2*π*(D/2) = π*D

1) 27in

radius = 27in

P = 2*(3.14)*(27 in) = 169.56 in

diameter = 27 in

P = (3.14)*(27 in) = 84.78 in

2) 79 in

radius = 79 in

P = 2*(3.14)*(79 in) = 496.12 in

diameter = 79 in

P = (3.14)*(79 in) = 248.06 in

3) 1809 in

radius = 1809 in

P = 2*(3.14)*(1809 in) = 11360.52 in

diameter = 1809 in

P = (3.14)*(1809 in) = 5680.26 in

4) 152 in

radius = 152 in

P = 2*(3.14)*(152 in) = 954.56 in

diameter = 152 in

P = (3.14)*(152 in) = 477.28 in

5 0
3 years ago
Find the greatest common factor of the following monomial.<br> 37x^3y^6 x^6y^2
nordsb [41]
<span>37x^3y^6 and x^6y^2
</span>greatest common factor: x^3y^2
7 0
3 years ago
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