Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?


A){2 +√11 , 2 - √11}

B){-2 +√11 , -2 - √11}

C){2 + √11, 2 +√11 }

Step-by-step explanation:

x²+3x-10 =

(x+5)(x-2)

______

Answer:

The answer is 360 ways

Step-by-step explanation:

Answer:

720 arrangements

So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.

Step-by-step explanation:

Answer:

[tex]\huge{\boxed{\boxed{\tt { ⎆ ✍ Answer :- }}}} \ [/tex]

[tex]18 + 5x = 8x \\ 18 = 8x - 5x \\ 18 = 3x \\ \frac{18}{3} = x \\ 6 = x[/tex]

Answer:

18 + 5x = 8x

5 -8 = 3x

18 = 3x

18 divded by 3 = 6

x = 6

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

Supplementary angles add up to equal 180 degrees

Thus, ∠ABC + ∠DEF = 180°

If ∠ABC = 35

Then 35 + ∠DEF = 180

180 - 35 = 145

Hence, ∠DEF = 145

Answer:

3

Step-by-step explanation:

Answer:

78.5 cm^2

Step-by-step explanation:

the circle's diameter is 10cm --> its radius is 5cm

the area of the circle is 5^2 x 3.14 = 78.5cm^2

The area of circle is [tex]25\pi[/tex] square units.

What is the formula for area of circle?

The area of a circle is given by [tex]\pi r^{2}[/tex] where r is the radius of the circle.

The given circle is inscribed in a square. so, the side length of the square will be the diameter d of the circle.

So, d=10.

Divide diameter d by 2 to get the radius of the circle.

[tex]r=\frac{10}{2}[/tex]

So, r=5.

Substitute 5 for r into the formula of area of circle.

[tex]\pi \cdot5^{2}=25 \pi[/tex]

Therefore, the area of circle is [tex]25\pi[/tex] square units.

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Answer:

3. $3 + (5 * $3) = a, that is the answer

Answer:

Second option: 5E 10 = 5*10^(10) galaxies.

Step-by-step explanation:

The exponential notation is used as:

AE N

This is equal to:

A*10^(N)

And we need to add N zeros to the right of A.

While if we had:

AE - N

A*10^(-N)

We need to add N - 1 zeros at the left of A.

Now we have the number:

50,000,000,000

Let's count the number of zeros at the right of the 5, we have 10 zeros.

Then we would write this as:

5*10^(10)

OR

5E 10

Then the correct option is the second one.

Answer:

2. 5E10

Step-by-step explanation:

Answer:

A, B, and D

Step-by-step explanation:

A, B, and D

Answer:

m²+m²+m²+m²

m⁸

4m²

Step-by-step explanation:

The equation is basically asking what is the same as m² times 4

Answer:

Coefficient

Step-by-step explanation:

9514 1404 393

Answer:

  7 square inches

Step-by-step explanation:

We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.

The triangle area is ...

  A = 1/2bh

  A = 1/2(3 in)(4 in) = 6 in²

The square area is ...

  A = s²

  A = (1 in)² = 1 in²

Then the total area of the figure is ...

  1 in² + 6 in² = 7 in²

Answer:

B. K = 5

Step-by-step explanation:

Answer:

The first answer is correct I believe

Step-by-step explanation:

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -5 to -4, it increases = [-5, -4]

For x = 1 to 3, it increases = [1, 3]

Answer: [-5, -4] , [1, 3]

Step-by-step explanation:

1:4=.25 or 25%

so 12/47=.25 or 25%

24/120=.2 or 20%

that ratio does not match the height ratio

Sarah's scale is reasonable.

A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.

The first step is to determine the how larger the paper is in terms of the painting.

48 / 12 = 4

120 / 24 = 5

This makes her scale of 1 in to 4 in reasonable.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Answer:

7.5

Step-by-step explanation:

To find the median, first order the numbers from least to greatest:

2, 4, 5, 7, 8, 8, 10, 12

Then, find the middle number (number in the middle):

There are 2 middle numbers. 7 and 8.

Because there are 2 numbers, we need to find the average. If there was only one number, that would be the median.

To find the average, add 7 and 8. Then, divide the sum by 2 because there are 2 numbers;

7 + 8 = 15

15 / 2 = 7.5

Have a nice day!

Answer:

y = (x - 2)² - 9

Step-by-step explanation:

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 - 5

y = (x - 2)² - 9

Answer:

rfgcc ft v crytrcvrcvhtfvyrfftv ffg

Step-by-step explanation:

tgfgghcg gn v v

Answer:

c bc it describsj7jndifkrk shdhitm

Answer:

1738

Step-by-step explanation:

ya I honestly think that the binomial of the quadriceps and triceratops are

Answer: C 6 units

Step-by-step explanation: Edg

Answer:

It actually doesn't matter! The key thing is that the dilation value affects the distance between two points. As in the first example (dilation by a factor of 3), A is originally 1 unit down from P and 2 units to the left of P.

1*3 = 3, so A' (the dilated point) should be 3 units down from P.

2*3 = 6, so A' should be 6 units to the left of P.

It doesn't matter if you go left first or down first, because you always determine the location of A' with respect to P based on the location of A (which doesn't move) with respect to P.

Step-by-step explanation:

Answer:

[tex]324~ m^2[/tex]

Step-by-step explanation:

[tex]Given: L=9m, ~B=9m,~H=4.5[/tex]

[tex]Surface ~area= 2(LB+BH+HL)[/tex]

[tex]2(9*9+9**4.5+4.5*9)[/tex]

[tex]2(81+40.5+40.5)[/tex]

[tex]2*162[/tex]

[tex]324m^2[/tex]

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hope it helps...

have a great day!!

Answer:

73.4

Step-by-step explanation:

the answer is 73.3966

Answer: MARK AS BRAINLIST PLZ:)

A) First, find the volume of each cube:

V = s³

  = (1/2)³

  = 1/8 ft³

We have a total of 64 cubes, therefore the maximum volume will be:

Vmax = 64 · (1/8) = 8 ft³

B) The volume of a rectangular prism is given by:

V = w × l × h

Therefore any combination of w × l × h = Vmax = 8 will be fine.

Examples:

2 × 2 × 2

4 × 2 × 1

Step-by-step explanation:

HOPE IT HELPS BRAINLIST

Answer:

x = - 2

Step-by-step explanation:

Answer:

the answer is [tex]\frac{20}{29}[/tex]

Step-by-step explanation:

its was 101.5 try it that's the answer