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3 years ago

Given w(2,-3), x(-4,9), y(5,y), and z(-1,1) find the value of y so that wx is perpendicular to yz

Mathematics

1 answer:

tangare [24]3 years ago

3 0

Answer:

y=4

Step-by-step explanation:

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Set up a linear system and solve.

liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f — g = 34

+ f + g = 35

3f = 69

Divide both side by the coefficient of f i.e 3

f = 69/3

f = 23

Substituting the value of f into equation(1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 — 23

g = 12

The two integers are 23 and 12

4 0

3 years ago

If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?

77julia77 [94]

Answer:

f= 5

Step-by-step explanation:

3 0

3 years ago

Pls help i give u brainliest

GREYUIT [131]

Answer:

The answer is 324π m².

Step-by-step explanation:

Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius :

$radius = diameter \div 2$

$radius = 18 \div 2$

$radius = 9m$

Then substitute into the formula :

$s.a = 4 \times \pi \times {r}^{2}$

$let \: r = 9$

$s.a = 4 \times \pi \times {9}^{2}$

$s.a = 4 \times \pi \times 81$

$s.a = 324\pi {m}^{2}$

4 0

3 years ago

Read 2 more answers

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co

Hitman42 [59]

Answer:

Hourly wage at the library = x = $7.5

Hourly wage at the coffee cart = y = $7

Step-by-step explanation:

Let

Hourly wage at the library = x

Hourly wage at the coffee cart = y

On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50.

Hence:

3x + 2y = 36.5.... Equation 1

On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50.

2x + 5y = 50...... Equation 2

Combining both Equations

3x + 2y = 36.5.... Equation 1

2x + 5y = 50...... Equation 2

We solve using Elimination method, Multiply Equation 1 by 2 and Equation 2 by 3 which are coefficients of x to eliminate x

6x + 4y = 73 .. Equation 3

6x + 15y = 150...... Equation 4

Subtract Equation 3 from Equation 4

11y = 77

y = 77/11

y = 7

Solving for x using Equation 2

2x + 5y = 50...... Equation 2

2x + 5 × 7 = 50

2x + 35 = 50

2x = 50-35

2x = 15

x = 15/2

x = 7.5

Therefore,

Hourly wage at the library = x = $7.5

Hourly wage at the coffee cart = y = $7

8 0

3 years ago

HELP PLEASEEEE!!! First correct answer gets brainliest!

sukhopar [10]

The answer to the question

8 0

3 years ago