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2 years ago

Help asappp!!! correct answer pleas :)

Mathematics

1 answer:

Grace [21]2 years ago

7 0

Answer: y = 3x + 4

Explanation: The slope is positive 3x and the y-intercept is +4 therefore the equation is y = 3x + 4 in y = mx + b form.

(mx is for slope, b is for y-intercept)

Hope this helps :)

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Solve the system of equations. −5x−3y−9=0 4x−18y−54=0 y=? x=?

Darina [25.2K]

Answer:

Step-by-step explanation:

Eq. 1 ) −5x−3y−9=0

Eq. 2) 4x−18y−54=0

there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)

6 *( −5x−3y−9=0 )

Eq. 3) -30x -18y =54

subtract Eq. 2 from Eq. 3 :)

-30x -18y =54

-( 4x−18y=54)

-34x = 0

so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,

then:

-5x = 9 +3y

x = - 9/5 + (-3/5)y

now plug that into Eq. 2

4( - 9/5 + (-3/5)y ) - 18y = 54

-36/5 + (-12/5)y -18y = 54

(-12/5)y - (90/5)y = 54+36/5

-(102/5)*y =270/5+36/5

-(102/5)y = 306/5

y = (-5/102)*(306/5)

y = -306/102

y = -3

then plug in for either equation

-5x-3( -3) = 9

-5x + 9 = 9

-5x = 0

x = 0

now we have the full answer

check it by plugging in both x and y into the 2nd equation

4(0) - 18(-3) = 54

54= 54

this seems good

3 0

3 years ago

A piece of wood is designed in the same of a cone.

77julia77 [94]

Answer:

See explanation

Step-by-step explanation:

Volume of cone - volume of cylinder

[1/3π(6)²(14)] - [π(4)²(3)]

168π - 48π = 120π

6 0

3 years ago

The midpoint of \overline{\text{AB}}

Schach [20]

Answer:

The coordinates of b are: B=(-7,-8)

Step-by-step explanation:

We are given the coordinates of the midpoint of $\overline{\text{AB}}$ as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

$\displaystyle x_m=\frac{x_a+x_b}{2}$

$\displaystyle y_m=\frac{y_a+y_b}{2}$

We know xa=-3 and xm=-5. Solve the first equation for xb:

$2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a$

Substituting:

$x_b=2\cdot (-5)-(-3)=-10+3$

$x_b=-7$

We can solve the second equation for xb and get:

$y_b=2y_m-y_a$

Since ya=4 and ym=-2, then:

$y_b=2\cdot (-2)-(4)=-4-4$

$y_b=-8$

Thus, the coordinates of b are: B=(-7,-8)

4 0

3 years ago

Triangle A’ B’ C’ is a dilation of triangle abc what is the scale factor

Ksivusya [100]

Answer:

1/2

Step-by-step explanation:

AC=18 and A'C'=9

AB(x)=A'B'

18(x)=9

x=9/18

x=1/2

7 0

3 years ago

Read 2 more answers

How many eight-digit serial numbers contain three of one digit, two of another digit, two of yet another digit, and one of still

Harlamova29_29 [7]

It is easier to understand the problem if you create a number based on the criteria and then perform the computations. I am going to choose: 111 22 33 4

There are 10 options for the first "1" and only 1 option for the other two 1's

There are 9 remaining options for the first "2" and only 1 option for the other 2

There are 8 remaining options for the first "3" and only 1 option for the other 3

There are 7 remaining options for the "4"

10 x 1 x 1 x 9 x 1 x 8 x 1 x 7

10 x 9 x 8 x 7 = 5,040

Answer: 5,040

6 0

3 years ago

Help asappp!!! correct answer pleas :)​

Help asappp!!! correct answer pleas :)