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3 years ago

\sqrt{-x+26}=x-6 −x+26=x−6

Mathematics

1 answer:

schepotkina [342]3 years ago

7 0

Answer:

x = 1 and 10

Step-by-step explanation:

Given the equation \sqrt{-x+26}=x-6, we are to find the value of x

Take the square of both sides

(\sqrt{-x+26})²= (x-6)²

-x+26 = (x-6)²

Expand the parenthesis

-x+26 = x²-12x+36

x²-12x+36+x-26 = 0

x²-11x+10 = 0

x²-10x-x +10 = 0

x(x-10) -1()-10) = 0

(x-1)(x-10) = 0

x - 1 =0 and x - 10 = 0

x = 1 and 10

Hence the value of x is 1 and 10

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The 40th parallel of north latitude runs across the United States through Philadelphia, Indianapolis, and Denver. at this latitu

Crank

Answer: 793 mi/h

Step-by-step explanation:

We have the following data:

$R_{E}=3030 mi$ is Earth radius at the 40th parallel of north latitude

$\omega_{E}=\frac{\pi}{12} rad/h$ is the Earth's angular velocity (toward the east)

$\omega_{J}=\frac{\pi}{12} rad/h$ is the Jet's angular velocity (toward due west)

And we need to find the Jet's speed $V_{J}$ , which is calculated by:

$V_{J}=\omega_{J}R_{E}$

$V_{J}=(\frac{\pi}{12} rad/h)(3030 mi)$

$V_{J}=793.25 mi/h$

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4 years ago

Solve the equation 3y+4x=9 for y.

dalvyx [7]

4x + 3y = 9
4x - 4x + 3y = -4x + 9
   3y = -4x + 9
      3    3
   y = -1¹/₃x + 3

7 0

3 years ago

Which graph represents the fraction

____ [38]

Based on my eyesight, it looks like C intercepts the y-axis at y = 2.
Since the y-intercept is the deciding factor, let's take 2 · 4⁰

Now, 4⁰ = 1, since anything raised to the power of 0 gives 1.
Now, the intercept is at 2 · 1 = 2.

Hence, (C) is the correct graph.

4 0

3 years ago

Aliya deposited half as much money in a savings account earning 1.9% simple interest as she invested in a money market account t

Genrish500 [490]

Answer: she deposited $2000 at 1.9%

She deposited $4000 at 3.3%

Step-by-step explanation:

Let x represent the amount that she deposited in the account earning 1.9% simple interest.

Let y represent the amount that she deposited in the account earning 3.3% simple interest.

Aliya deposited half as much money in a savings account earning 1.9% simple interest as she invested in a money market account that earns 3.3% simple interest. This means that

x = y/2

The formula for simple interest is expressed as

I = PRT/100

For the savings account earning 1.9% simple interest,

I = (x × 1.9 × 1)/100 = 0.019x

For the money market account that earns 3.3% simple interest,

I = (y × 3.3 × 1) = 0.033y

If the total interest after one year is $170.00, it means that

0.019x + 0.033y = 170 - - - - - - - - - -1

Substituting x = y/2 into equation 1, it becomes

0.019×y/2 + 0.033y = 170

Cross multiplying, it becomes

0.019y + 0.066y = 340

0.085y = 340

y = 340/0.085

y = $4000

x = y/2 = 4000/2

x = 2000

3 0

3 years ago

What is the solution to the system please help

IrinaVladis [17]

Answer:

$(-\frac{50}{13},-\frac{12}{13})$

Step-by-step explanation:

To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:

$y=-\frac{4}{5}x-4$