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3 years ago

I need help figuring this question out

Mathematics

1 answer:

Marysya12 [62]3 years ago

7 0

ANSWER: (4,26)
Comment below if you have any questions or want an explanation:

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Write the equation of the line that is parallel to the line 7−4x=7y 7 − 4x = 7 y through the point (2,0).

Aleks04 [339]

We are given the line 7-4x=7y.

If we write this line in the form y=mx+k, then m is the slope of the line.

7-4x=7y

7y=-4x+7

y=(-4/7)x+1

the slope of the line is -4/7

Any line parallel to this line must also have a slope equal to -4/7.

We want precisely the one passing through (2, 0) and having slope -4/7.

Using the point-slope form of the equation of a line:

(y-0)=-4/7(x-2)

y=(-4/7)x+8/7

Answer: y=(-4/7)x+8/7

another form is 4x+7y-8=0

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3 years ago

Sam and Lou need total of 1 foot wire for science project. sam's wire measured 8/12 foot long. Lou's measured 7/8 foot long. Do

Oksana_A [137]

Yes because together they have a little more than one and a half feet of wire

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3 years ago

Read 2 more answers

Car price $118,191

Alik [6]

Answer:

3410.64

Step-by-step explanation:

Gonna assume that the 2.49 is the APR

present value of the loan= present value of the payments

effective rate: .0249/12= .002075

x= payment

$118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317$

8 0

3 years ago

If F(x)=x^3-2x^2, which expression is equivalent to f(I) -2+i,-2-i,2+i,2-i

Romashka-Z-Leto [24]

Hello from MrBillDoesMath!

Answer:

2 - i

Discussion:

Evaluate F(x) = x^3 - 2 x^2 when x = i.

i^2 = -1 for i^3 = i ( i^2) = i (-1) = -i

So F(i) = (i)^3 - 2 (i)^2

= -i - 2(-1)

= -i + 2

= 2 - i

which is the last answer shown

Thank you,

MrB

6 0

4 years ago

the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the to

Tcecarenko [31]

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

$\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

$\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters$

The height of the tower is 30.51 meters

6 0

3 years ago