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raketka [301]
3 years ago
12

Help me ASAP bigger reward if you help

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

x=−15+√10 or x=−15−√10

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+15)2−10=0

Step 1: Simplify both sides of the equation.

x2+30x+215=0

For this equation: a=1, b=30, c=215

1x2+30x+215=0

Step 2: Use quadratic formula with a=1, b=30, c=215.

x=−b±√b2−4ac/2a

x=−(30)±√(30)2−4(1)(215)/2(1)

x=−30±√40/2

x=−15+√10 or x=−15−√10

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What is the median of the distribution?
a_sh-v [17]

Answer:

In order to calculate the median, the data must first be ranked (sorted in ascending order). The median is the number in the middle. Median = the middle value of a set of ordered data.

Step-by-step explanation:

7 0
2 years ago
Part ion even know of the hardest test
ladessa [460]

Given:

The equation of a line is:

y=-\dfrac{5}{7}x+2

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

y=mx+b                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

y=-\dfrac{5}{7}x+2          ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{5}{7}

We know that the product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

-\dfrac{5}{7}\times m_2=-1

m_2=\dfrac{7}{5}

Slope of the required line is \dfrac{7}{5} and it passes through the point (-5,-3). So, the equation of the line is:

y-y_1=m_2(x-x_1)

y-(-3)=\dfrac{7}{5}(x-(-5))

y+3=\dfrac{7}{5}(x+5)

Using distributive property, we get

y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)

y+3=\dfrac{7}{5}x+7

y=\dfrac{7}{5}x+7-3

y=\dfrac{7}{5}x+4

Therefore, the equation of the line is y=\dfrac{7}{5}x+4. Hence, option A is correct.

4 0
3 years ago
Monica paid sales tax of $2.80 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge fo
larisa [96]

7 % of cost price is 2.80 , What about 1%?

7 = 2.80

1 = x   (where x is the price value of 1% in dollars)

We simplify the above equation, so:

7 × x = 2.8 × 1  →  7x = 2.8 →  x = 2.8 / 7  →   x = 0.4 dollars

We know that 100%  represents the whole price,

so if 1% is 0.4 dollars, then 100% will be 0.4 × 100 = 40 dollars

Therefore the store charged $40  dollars for the helmet before tax




5 0
3 years ago
Find the area of the composite shape
jekas [21]

12 ft * 10 ft = 120 sq ft

½ * 6 ft * 7 ft = 21 sq ft

120 sq ft - 21 sq ft = 99 sq ft (it is area of the composite shape)

4 0
3 years ago
The value of Rita’s house increased by 5%.
Svetach [21]

Answer:

200,000

Step-by-step explanation:

6 0
2 years ago
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