I need help with this please.

Answer:

[tex] (x+4)^2=4[/tex]

Step-by-step explanation:

[tex]x^2+8x+12=0\\

\implies (x^2+8x+16)+12=16\\

\implies (x+4)^2=16-12\\

\implies \boxed{(x+4)^2=4}[/tex]

Answer:

(x +4)^2 = 4

Step-by-step explanation:

if we add 4 to the expression x^2 + 8x + 12 we will have a perfect square which is shown as (x +4)^2

so (x +4)^2 = 4 is equivalent to the expression x^2 + 8x + 12

Answer:

Your answer is correct

Step-by-step explanation:

SAS triangle is proven through b option.

Hope this helps....

Have a nice day!!!!

Answer:

[tex] \boxed{\sf (3x - 2)(2x + 1)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies 6 {x}^{2} - x - 2 \\ \\ \sf The \: coefficient \: of \: {x}^{2} \: is \: 6 \: and \: the \: constant \\ \sf term \: is \: - 2. \: The \: product \: of \: 6 \: and \: - 2 \\ \sf is \: - 12. \\ \sf The \: factors \: of \: - 12 \: which \: sum \: to \\ \sf - 1 \: are \: 3 \: and \: - 4. \\ \\ \sf So, \\ \sf \implies 6 {x}^{2} - 4x + 3x - 2 \\ \\ \sf \implies 2x(3x - 2) + 1(3x - 2) \\ \\ \sf \implies (3x - 2)(2x + 1)[/tex]

Answer:

Step-by-step explanation:

[tex] \mathsf{ {6x}^{2} - x - 2}[/tex]

Write -x as a difference

[tex] \mathsf{6 {x}^{2} + 3x - 4x - 2}[/tex]

Factor out 3x from the expression

[tex] \mathsf{3x(2x + 1) - 4x - 2}[/tex]

Factor out -2 from the expression

[tex] \mathsf{3x(2x + 1) - 2(2x + 1)}[/tex]

Factor out 2x + 1 from the expression

[tex] \mathsf{(2x + 1)(3x - 2)}[/tex]

[tex] \mathcal{Hope \: I \: helped!}[/tex]

[tex] \mathcal{Best \: regards!}[/tex]

Answer:

a=-3

Step-by-step explanation:

Answer:

The correct Option is Option A

Step-by-step explanation:

Answer:

-3 and infinity

Step-by-step explanation:

Answer:

32 ft tall

Step-by-step explanation:

Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.

SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.

We know the tree's shadow is 48 ft.

--> 48/3 = 16

16 x 2 = 32

32 ft tall

Hope this helps!

Answer: 32ft tall

Step-by-step explanation:

Answer:

Range : { -5,1,7}

Step-by-step explanation:

Take the values in the domain and substitute into the equation

x = -3

y = -2(-3) +1 = 6+1 =7

x = 0

y = -2(0) +1 = 0+1 =1

x = 3

y = -2(3) +1 = -6+1 =-5

The range is the y values

We put then in order from smallest to largest

Range : { -5,1,7}

Answer:

im not entirely sure what you're asking so here are some example answers

half of (1/3 + 1/4)

= half of (7/12) = 7/24

half of 1/3 = 1/6

half of 1/4 = 1/8

Answer:4.2 cups

Step-by-step explanation:

Just do 63 cups, divided by the 15 puppies which equals 4.2 cups! pls mark brainliest

Answer:

4.2 cups

Step-by-step explanation:

I am in the assiment and i just got it right on the assiment

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  [tex]0.2392 < p < 0.3108[/tex]

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  [tex]n = 432 + 164 =596[/tex]

   The  number of  offspring that is yellow peas is [tex]y = 432[/tex]

   The  number of  offspring that is green peas   is [tex]g = 164[/tex]

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        [tex]\r p = \frac{ 164 }{596}[/tex]

        [tex]\r p = 0.275[/tex]

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       [tex]\alpha = (100 - 95)\%[/tex]

      [tex]\alpha = 5\% = 0.0 5[/tex]

The  critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is  

      [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically evaluated as

        [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }[/tex]

=>      [tex]E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }[/tex]

=>      [tex]E = 0.0358[/tex]

The  95%  confidence interval is mathematically represented as

      [tex]\r p - E < p < \r p + E[/tex]

=>   [tex]0.275 - 0.0358 < p < 0.275 + 0.0358[/tex]

=>   [tex]0.2392 < p < 0.3108[/tex]

Answer:

a) a= 60

c) a= 135

d) a= 40

f) a= 115

g) a= 37

i) a= 130

Step-by-step explanation:

If you see a little square at the angle, this means that the angle is a right angle, which means that it is 90°.

Let's look at Q5a.

a) a° +30°= 90°

a°= 90° -30°

a°= 60°

a=60

Questions 5b has the same concept.

The sum of the angles on a straight line is 180°. The abbreviation used for this is (adj. ∠s on a str. line).

Let's look at Q5c.

c) a° +45°= 180° (adj. ∠s on a str. line)

a°= 180° -45°

a°= 135°

a= 135

Question 5d uses the same concept too.

Let's look at Q5d.

d) 90° +50° +a°= 180° (adj. ∠s on a str. line)

a°= 180° -90° -50°

a°= 40°

a= 40

Vertically opposite angles are equal. The abbreviation written for this is (vert. opp. ∠s).

Use this for questions 5f and 5g.

f) a°= 115° (vert. opp. ∠s)

a= 115

g) a°= 37°

a= 37

The sum of angles on a point is 360°. This will help you solve questions 5h and 5i.

i) 140° +90° +a° = 360° (∠s at a point)

a° +230°= 360°

a°= 360° -230°

a°= 130°

a= 130

Answer:

Step-by-step explanation:

Sum = 4

Product = -60

Factors = 10 , -6

a² + 4a - 60 = a² + 10a - 6a + (-6) * 10

                    =a(a + 10) - 6(a +10)

                    = (a +10) (a -6 )

Answer:

3846.5 in.

Step-by-step explanation:

πr² = (3.14)(35)² = 3846.5 in.

Answer:

Outside temperature at 2 A.M = -33.2°C

Step-by-step explanation:

Given:

Temperature at 12:00 midnight (outside) = -30.9°C

Rate of decreases = - 2.3°C per two hour

Find:

Outside temperature at 2 A.M

Computation:

Outside temperature at 2 A.M = Temperature at 12:00 midnight (outside) + Rate of decreases

Outside temperature at 2 A.M = -30.9°C + (- 2.3°C)

Outside temperature at 2 A.M = -33.2°C

Answer:

8.

Step-by-step explanation:

[tex]\sqrt{57} =\sqrt{3 * 19}[/tex]

Since this cannot be further simplified, we will calculate the square root of 57 with our calculators.

We find that the square root of 57 is 7.549834435, and since the tenths place is a 5, we will round up to the next whole number. So, the point on the number line that best represents the square root of 57 is 8.

Hope this helps!

Answer:

x^ ( 6/35)

Step-by-step explanation:

x ^ 2/5  ^ 3/7

We know that a^ b^ c = a^ ( b*c)

x ^ ( 2/5 * 3/7)

x^ ( 6/35)

Answer:

the slope is -3

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

Answer:

140°

Step-by-step explanation:

[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\

\therefore m\widehat{BG} = 360\degree - 300\degree \\

\therefore m\widehat{BG} = 60\degree \\

\because m\widehat{BGD} = m\widehat{BG}

+m\widehat{GD}\\

\therefore m\widehat{BGD} = 80\degree+60\degree\\

\therefore m\widehat{BGD} = 140\degree\\

\because m\angle BAD = m\widehat{BGD} \\

\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]

Answer:

x intercepts at -4 and 1,

with a minimum at (-1.5, -6.25)

Step-by-step explanation:

(x + 4)(x - 1) = 0

x = -4, 1

min = -b/2a = -3/2(1) = x = -1.5

y = (-1.5)² + 3(-1.5) - 4 = -6.25

Answer:

  graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Step-by-step explanation:

The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.

__

The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...

  x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c

This is the x-coordinate of the minimum.

Answer:

never crosses the x-axis.

Step-by-step explanation:

     A quadratic equation with a negative discriminant has a graph that - never crosses the x-axis.

Answer:

The graph of a quadratic equation that has a negative discriminant is the one that never intersect x-axis. The graph of a quadratic equation that has a zero discriminant is the one that intersect x-axis at only one point. To be clearer, it can be seen in the attached image.

Step-by-step explanation:

Answer D

Answer:

  40 cm

Step-by-step explanation:

Each point of the final 6-pointed star has 2/3 of the perimeter of the equilateral triangle. So, the 6 points have a total perimeter of ...

  6(2/3)(10 cm) = 40 cm

The perimeter of the final star is 40 cm.

Answer:

40

Step-by-step explanation:

The star has $12$ sides. Each side is one-third of the perimeter of a triangular tile, or $\frac{10}3$ cm. So the perimeter of the star is

$$12\cdot\frac {10}3 = 4\cdot 10 = \boxed{40\text{ cm}}.$$

Alternatively, consider that the original tiles are composed of $12$ triangles with $3$ sides each, which have $12\cdot 3 = 36$ sides in all. Only $12$ of those $36$ sides make up the perimeter of the star. $12$ is one-third of $36,$ so the perimeter of the star is one-third of the total perimeter of the tiles. The tiles have a total perimeter of $10 \cdot 12=120\text{ cm},$ so the perimeter of the star is $\frac{120}3 = 40$ cm.

Answer:

U = x + 4 and V = 2y^5.

Step-by-step explanation:

Square root of (x + 4)^2 = x + 4

Square root of 4y^10 = 2y^5

U = x + 4 and V = 2y^5.

(U - V)^2 = U^2 - 2UV + V^2

= (x + 1)^2 - 2 (2y^5 (x + 1) + 4y^10

= (x + 1)^2 - 4y^5 (x + 4) + 4y^10

Answer:

U = x + 4 and V = 2y^5.

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

(a x b) x c

Let a=2  b=8  c=12

(2 * 8) * 12

16 * 12

192

Answer:

Step-by-step explanation:

[tex]a = 2\\b = 8\\c = 12\\\\(a \times b) \times c\\\\(2 \times 8) \times 12\\\\(16) \times12\\\\= 192[/tex]

Answer:

1. Write both ratios as fractions and reduce them completely. If they are the same fraction, the ratios form a proportion.

2. Write both ratios as fractions. Do the cross products by multiplying the denominator of each fraction by the numerator of the other fraction. If the cross products are equal, the ratios form a proportion.

Answer:

Question 1.

Option A: 2m

Question 2

Option D: (1, 1) minimum point

Step-by-step explanation:

Question 1.

Let the original length of the garden (before expansion) be = x

The new length of the garden will be x + 10m

Recall that the garden has a square geometry. That means that its area is obtained by squaring any of its sides.

This means that [tex](x +10)^2 = 144[/tex]

We can now solve for x

[tex](x +10)^2 = 144\\x^2 +20x +100 = 144\\x^2 + 20x =44\\x^2 + 20x - 44=0\\x = 2 or -22[/tex]

x cannot be a negative number, so the original length of a side of the garden is 2m. Option A

Question 2:

The coordinates of the vertex of the graph (turning point) are (x, y) [1,1]

To know whether it is a minimum or maximum point, we will have to check the coefficient of [tex]x^2[/tex] in the equation [tex]y = x^2-2x+2[/tex]

The coefficient of  [tex]x^2[/tex] in the equation is 1. (If no number is present, just know that the coefficient is a one).

If the coefficient is positive, then the point is a minimum point. However, if it is negative, then the point is a maximum point.

Our coefficient is positive hence, the graph has a minimum point.

Answer:

Step-by-step explanation:

this app is useless don't use it for math probs it doesn't help at all just stay on your work hoped this helped

Answer:

52

Step-by-step explanation:

Square root of 169 is 13.

SInce it is a square all sides are same length. So you could do 13x4 or 13+13+13+13. Both will equal to 52.

The perimeter of the base of the pyramid is 52 square feet.

Given that,

The pyramid contains a square base having an area of 169 square feet.

We know that,

Area of the square = side^2

169 = side^2

So, the side is 13 feet.

So, the perimeter should be

= 4 × sides

= 4 × 13

= 52 feet

Therefore, we can conclude that The perimeter of the base of the pyramid is 52 square feet.

Learn more about the square here: brainly.com/question/14198272

Answer:

Hey there!

You would write that as 2(9-n), where n is the number.

Hope this helps :)