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3 years ago

Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

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After a storm, two street lights with the same length are leaning against each

Ray Of Light [21]

Answer:

c = 4.79 feet

Step-by-step explanation:

Given question is incomplete without a picture; find the question with the attachment.

Two poles AD and DB of same length are leaning against each other.

Distance between the poles (AB) = 45 feet

m(∠ADB) = 180°- (60 + 50)°

= 70°

By sine rule,

$\frac{sin50}{AD}=\frac{sin70}{45}=\frac{sin60}{DB}$

$AD=\frac{45\times (sin50)}{sin70}$

= 36.68 ft

Similarly,

DB = $\frac{45\times sin60}{sin70}$

= 41.47 ft

Now c = DB - AD

= 41.47 - 36.68

= 4.79 feet

4 0

3 years ago

Select the example which illustrates the distributive property. (7 x 39), 39 x 7 7(30 + 9) = 7(30) + 7(9) (7 + 3) (7 + 9) (7 x 3

Andreyy89

Answer is 7(30+9)=7(30)+7(9)

4 0

2 years ago

Which of the following are valid names for the given triangle? Check all that apply.

vfiekz [6]

When naming triangles we name them by the letters on each corner so only answers with T, A, and X in them are correct, so TAX, XTA, and AXT

6 0

3 years ago

Read 2 more answers

Drag expressions to complete each equation.

Maru [420]

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

$a^{b}$ × $a^{c}$ = $a^{b+c}$

$\frac{a^{b} }{a^{c} }$ = $a^{b-c}$

$a^{c}$ × $b^{c}$ = $(ab)^{c}$

7 0

3 years ago

Read 2 more answers

If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).

Cloud [144]

Answer:

f(x) = 3x⁴ - $\frac{2X^{3} }{3}$ - 17x + $\frac{68}{3}$

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x) = 3x⁴ - $\frac{2X^{3} }{3}$ - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1) = 3(1)⁴ - $\frac{2(1)^{3} }{3}$ - 17(1) + C

8 = 3 - $\frac{2}{3}$ - 17 + C

C =8 - 3 + 17 + $\frac{2}{3}$

C = 22 + $\frac{2}{3}$

C = $\frac{66 + 2}{3}$

C = $\frac{68}{3}$

f(x) = 3x⁴ - $\frac{2X^{3} }{3}$ - 17x + $\frac{68}{3}$

7 0

4 years ago