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aksik [14]
2 years ago
13

Write an equation of a line (-4,-1) and is perpendicular to the line y=4/3x+6 y =

Mathematics
1 answer:
NikAS [45]2 years ago
5 0

Answer:

y= -3/4x-2

Step-by-step explanation:

- perpendicular: opposite signs and reciprocal

m= -3/4

point-slope form: y-y1=m(x-x1)

y-(-1)= -3/4(x-(-4))

y+1= -3/4(x+4)

y+1= -3/4x -3

y= -3/4x-2

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If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

5^x+3^y=\dfrac{18}3=\boxed{6}

7 0
3 years ago
There is enough grass to feed 5 cows for 8 days.
tigry1 [53]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
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In the figure below, the two triangular faces of the prism are fight triangles with sides of length 3, 4, and 5. The other three
olasank [31]
The figure of the prism is attached below.

The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.

Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.

Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units

There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.

So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units

The Surface Area of the prism will be:

Surface Area = 2 (4) + 72 = 84 square units

Thus the correct answer is option A

6 0
3 years ago
Which algebraic expression is equivalent to the expression below?
JulijaS [17]

Step-by-step explanation:

7(4x + 9) - 4

= (7 × 4x) + (7 × 9) - 4

= 28x + 63 - 4

= <u>28x + 59</u>

So, 7(4x + 9) - 4 is equivalent to 28x + 59 (D)

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

6 0
3 years ago
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Find the distance between the two points in simplest radical form.<br> (7,-1) and (9,-9)
storchak [24]

Answer:

\sqrt{68}

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

=\sqrt{(9 - 7)^2 + (-9 - (-1))^2}

=\sqrt{2^2 + (-9 + 1)^2}

=\sqrt{4 + (-8)^2}

=\sqrt{4 + 64}

=\sqrt{68}

7 0
3 years ago
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