Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1

Answer:

hdwhdbehqj

Step-by-step explanation:

223499

3344rbjee

Answer:

Step-by-step explanation:

by intersecting chord theorem, 27*y = 13*17

y=13*17/27=8.185=8.19

Answer:

(x - 3)² + (y + 2)² = 16

Step-by-step explanation:

The center is determined by what number is subtracted from the variables.

The radius is squared and set equal to the variable side.

Answer:

Step-by-step explanation:

-2÷1 = -2

4÷(-2) = -2

-8:4 = -2

So this is a geometric sequence with a common ratio of -2

Therefore:

the 5th term:   -8×(-2) = 16

the 6th term:   16×(-2) = -32

Answer: AS THE SAMPLE SIZE IS TO SMALL, the margin of error cannot be trusted

Step-by-step explanation:

Plato and Epmentum

Answer:

Option D :- (180 - 2x)°

Answer:

-32x-48y

Step-by-step explanation:

multiply: -4 (8x) - 4 (12y) = -32x-48y

Answer:

32x - 48y

Step-by-step explanation:

when you distribute, -4 has to go to both -8x and 12y  

so -4 times -8x = 32x

-4 times 12 = -48y

Final answer: 32x - 48y

Answer:

Aired

Step-by-step explanation:

Answer:

look at the picture i have sent

Answer:

area = 82 cm²

Step-by-step explanation:

The figure comprises a trapezoid, a triangle and a square.

Calculating areas of the three shapes separately and then adding them will give us the required area of the composite figure.

Area of square : (side)²

= (2)²

= 4 cm²

Area of triangle : ½ × b × h

= ½ × 3 × 12

= 3 × 6

= 18 cm²

Area of trapezoid : ½ × (a + b) × h

= ½ × (5+5) × 12

= ½ × 10 × 12

= 5 × 12

= 60 cm²

Now, area of the composite figure :

= 4 + 18 + 60

= 22 + 60

= 82 cm²

Answer:

Step-by-step explanation:

If you exclude the square on the bottom, you have a trapezoid with bases of 5 cm and 8 cm and the height of 12 cm.

Its area is:

Add the area of the square with sides of 2 cm:

Total area is:

Answer:

x=16

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

The definition of a transversal says that the two expressions are equal to each other so you can solve the equation:

4x-7=3x+9

x=15

Answer:

See Explanation

Step-by-step explanation:

Given

The question is incomplete, as the required stem-and-leaf plot is not available. I will answer this question with the attached plot

Required

Drivers that travel below 80 mph

A stem and leaf plot has the following syntax: Stem | Leaves

Take for instance:

7 | 2 3 4 7

The above represents 72, 73, 74 and 77

Using the above illustration, the attached leaf plot can be interpreted as:

60, 61, 61, 65, 66, 66, 67

71, 73, 76, 77, 78

80 81... and so on

The drivers that drive below 80 mph are:

60, 61, 61, 65, 66, 66, 67

71, 73, 76, 77, 78

And the frequency is: 12

Hence, 12 drivers travel below 80 mph (using the attached stem and leaf plot)

Answer:

1. [tex]\frac{4}{10}[/tex]

2. He used baking soda more than vanilla flavoring. [tex]\frac{7}{8} > \frac{1}{4}[/tex]

3. Giraffes are the herbivores. [tex]\frac{1}{6} < \frac{3}{4}[/tex]

4. Sarai helps more in the school than Josh does. [tex]\frac{3}{8} < \frac{8}{12}[/tex]

5. [tex]\frac{5}{12} < \frac{6}{8}[/tex]

6. [tex]\frac{4}{6} > \frac{2}{5}[/tex]

7. [tex]\frac{7}{10} < \frac{4}{3}[/tex]

Answer:

28x

Step-by-step explanation:

Use foil to get

8x^2 +28x+12

middle term is 28x

Answer:

2,600.00

Step-by-step explanation:

Answer:

a. Firat term of the sequence= 77

b. 29th term of the sequence= -35

c. Sum of the first 40 terms of the sequence= -40

Step-by-step explanation:

The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

Given that, [tex]a_{15} =21[/tex] and d=-4.

The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].

To find the first term of the sequence:

[tex]a_{15}[/tex]=a+(15-1)(-4)

⇒21=a+(15-1)(-4)

⇒a=77

To find the 29th term of the sequence:

[tex]a_{29}[/tex]=77+(29-1)(-4)=-35

To find the sum of the first 40 terms of the sequence:

The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]

[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]

=20(154-156)=-40

Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

To learn more about the arithmetic sequence visit:

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Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

Answer:

Hypotenuse = 10.

Step-by-step explanation:

h^2 = 6^2 + 8^2

= 36 + 64

= 100

So h= 10.

Answer:

It really all depends on how much percent of your grade the test is worth. If your current average is 77%, and the test is worth 30-100% of your grade, then the 77% will likely become 75% or even 73%.

Step-by-step explanation:

It all just depends.

10; decreases

8: decreases, increases

7: increases, stays the same, increases, stays the same, increases.

9: increases, increases

I hope that this is correct and was able to help

Answer:

11.28 units squared

Step-by-step explanation:

Area of a circle is

[tex]\pi {r}^{2} [/tex]

each square has an area of 1

There are four semi-circles, which make two complete circles.

the area of the 5 squares plus the area of the two circles equals the total area.

5 + 2(3.14) = 11.28

Answer:

6.65 kilometers

Step-by-step explanation:

950 * 7 days a week = 6650 meters

6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers

Answer:

6.65  km

Step-by-step explanation:

Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable

[tex]\frac{950}{1}=\frac{x}{7}[/tex]

Step 1: Switch sides

[tex]\frac{x}{7}=\frac{950}{1}[/tex]

Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{7}=950[/tex]

Step 3: Multiply both sides by 7

[tex]\frac{7x}{7}=950\cdot \:7[/tex]

Step 4: Simplify

[tex]x=6650[/tex]

Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers

Therefore, Janet would walk 6.65 km in an entire week

Answer:

35

Step-by-step explanation:

Answer:

-81+9p

Step-by-step explanation:

-9(9-p)

-9×9-9×-p

-81-9×-p

-81-(-9p)

-81+9p

9p-81

Answer: b

Step-by-step explanation: b

Answer:

James ate 25% of the cookies

Answer:

1.2, 1.6, 2.0

Step-by-step explanation:

Pythagorean theorem

A^2 +b^2=c2

1.2^2+1.6^2=2^2

1.44 + 2.56=4

4=4

Since equation works (4=4), it is a right triangle.

The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Equivalent expressions are expressions that work the same even though they look different.

According to the given question.

we have an expression [tex]w^{4} -36[/tex]

The equivalent expression of the above expression can be given by

[tex]w^{4} -36[/tex]

⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]

⇒[tex](w^{2}-6)(w^{2} +6)[/tex]      (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )

Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Thus, option D is correct.

Find out more information about equivalent expression here:

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