Select the correct answer.
Which equation is equivalent to the formula below?
y = a (x -h )2 + k

Answer

[tex]surface \ area = 2( lb + bh+hl) = 2(6 + 12 + 8) =2*26 = 52cm^2[/tex]

Answer:

52 cm^2.

Step-by-step explanation:

SA = 2 (2*3 + 3*4 * 2*4)

= 2 * 26

= 52 cm^2.

Answer:

⏩12°

Step-by-step explanation:

4x + 7° + 35° = 90° {being complementary angles }

4x + 42° = 90°

4x = 90° - 42°

4x = 48°

x = 48° / 4

x = 12°

Hope it will help :)❤

Step-by-step explanation:

35°+4x+7°=90°

or,42°+4x=90°

or,4x=90°/42°

or,x=2.14/4

or,x=0.53

hope this helps

Answer:

Approximate: C ≈ 50.27

Exact: C = 16π

Step-by-step explanation:

C = 2πr

We know that r is 8

C = 2π8

C = 16π

C ≈ 50.27

The circumference of a circle is 16π unit²

The circumference of a circle is defined as the linear distance around of circle.

Formula of circumference of a circle (C) = 2πr

Where r is radius of circle

Given radius of circle (r) = 8,

Substitute the value of r,

C = 2π(8)

C = 16π unit²

Substitute π = 3.14,

C ≈ 50.27 (approximate)

Thus, the circumference of a circle is 16π unit²

Learn more about Circles

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Answer:

B,E

Step-by-step explanation:

(5,0) (5=x, 0=y)

A is false because y = 0

B is true because x=5

c is false because y = 0

D is false because again y = 0

E is true because 5,0 is on the x axis

- Gage Millar, Algebra 2 tutor

Answer:

1,850

Step-by-step explanation:

600+.05(25000)=1,850

Answer:

110

Step-by-step explanation:

Answer:

60w+90

Step-by-step explanation:

That would be the simplified expression

Answer:

2x - 5 < 23

2x < 28

x < 14

Step-by-step explanation:

Petra gives Ian the clue below to help him guess a number.When the number (x) is doubled and the product is reduced by five, the final result is less than 23.Which inequality correctly represents this clue?

Answer:

2x - 5 < 23

Step-by-step explanation:

2x - 5 < 23

2x < 28

x < 14

Answer:

im sry but i have no idea

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

0.6832

Step-by-step explanation:

Given :

Mean, m = 52

Standard deviation, s = 7

-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6

2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71

Zscore = (48.6 - 52) / 7 = - 0.486

Zscore = (71 - 52) / 7 = 2.714

P < -0.486) = 0.31348

P < 2.714 = 0.99668

P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832

Answer:

When we have a function:

f(x)

The average rate of change in the interval a < x < b

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Now for each of the given intervals, let's find the average rate of changes.

q(x) = (x + 3)^2

1)  -6 ≤ x ≤ -4

[tex]r = \frac{(-4 + 3)^2 - (-6 + 3)^2}{-4 - (-6)} = \frac{1 - 9}{2} = -4[/tex]

here the correct option is F.

2) -3 ≤ x ≤ 0

[tex]r = \frac{(0 + 3)^2 - (-3 + 3)^2}{0 - (-3)} = \frac{9}{-3} = -3[/tex]

Here the correct option is D.

3) -6 ≤ x ≤ -3

[tex]r = \frac{(-3 + 3)^2 - (-6 + 3)^2}{-3 - (-6)} = \frac{9}{3} = 3[/tex]

Here the correct option is C

4)  -3 ≤ x ≤ -2

[tex]r = \frac{(-2 + 3)^2 - (-3 + 3)^2}{-2 - (-3)} = \frac{1}{1} = 1[/tex]

Here the correct option is B.

5) -4 ≤ x ≤ -3

[tex]r = \frac{(-3 + 3)^2 - (-4 + 3)^2}{-3 - (-4)} = -1/1 = -1[/tex]

Here the correct option is A

6)  -6 ≤ x ≤ 0

[tex]r = \frac{(0 + 3)^2 - (-6 + 3)^2}{0 - (-6)} = \frac{9 - 9}{6} = 0[/tex]

Here the correct option is E.

Answer:

Hello! answer: 6

Step-by-step explanation:

2 × 3 = 6 12 - 6 = 6 therefore the answer is 6 hope that helps!

Answer:

6

Step-by-step explanation:

Answer:

a. ΔABC is an isosceles triangle

b. ΔABC is a right triangle

c. The perimeter of ΔABC is approximately 10.8

Step-by-step explanation:

The given vertices of the polygon, are;

A(1, 4), B(4, 5), C(5, 2)

By observation of the differences of the coordinates of the given points, the points are non-linear, as the rate of increase in the y-values, for a given increase in the x-value, is not constant

The length of segments of the triangle ΔABC are found using the formula for finding the distance, 'd', between points given their coordinates, (x₁, y₁), (x₂, y₂), as follows;

[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of segment, [tex]\overline {AB}[/tex] = √((5 - 4)² + (4 - 1)²) = √10

The length of segment, [tex]\overline {AC}[/tex] = √((2 - 4)² + (5 - 1)²) = √20

The length of segment, [tex]\overline {BC}[/tex] = √((2 - 5)² + (5 - 4)² = √10

The length of segment, [tex]\overline {AB}[/tex] = The length of segment, [tex]\overline {BC}[/tex], therefore, ΔABC is an isosceles triangle by definition of an isosceles triangle which is a triangle that have two sides of equal length

ΔABC is an isosceles triangle

b. According to Pythagoras' theorem, the sum of the squares of the two shorter sides (the legs) of a right triangle = The square of the length of the longest side

In if triangle ΔABC is a right triangle, we should have;

[tex]\overline {AB}[/tex]² + [tex]\overline {BC}[/tex]² = [tex]\overline {AC}[/tex]²

Checking gives;

(√10)² + (√10)² = 10 + 10 = 20 = (√20)²

Whereby [tex]\overline {AB}[/tex]² (= (√10)²) + [tex]\overline {BC}[/tex]² (= (√10)²) = (√20)² = [tex]\overline {AC}[/tex]², ΔABC is a right triangle

ΔABC is a right triangle

c. The perimeter of ΔABC = The length of segment, [tex]\overline {AB}[/tex] + The length of segment, [tex]\overline {AC}[/tex] + The length of segment, [tex]\overline {BC}[/tex]

∴ The perimeter of ΔABC = √10 + √10 + √20 ≈ 10.7966912753

By rounding off to the nearest tenth, the perimeter of ΔABC ≈ 10.8.

Answer:

maybe c sorry if wrong

Step-by-step explanation:

Answer:

it depends on how its being answered so i'm going to answer its by what i think it is (20)

Step-by-step explanation:

technically is every piece of clothing in one outfit like one different sock to the same parts of an outfit is the same thing right?

i answered this the best i could im sorry if it wrong

Answer:

the bin, 60-69 has the most data values

Step-by-step explanation:

since it has the highest frequency it has the most data values

Answer:

Step-by-step explanation:

The bin 60-69, contains the most data 100% positive that this is correct

Answer: a=0 hope that helps sorry i don't have time to explain bye !

Step-by-step explanation:

Answer:

In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the si…

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Pythagoras Theorem Statement Pythagoras theorem states that “ In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides “. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse.

Answer:

25.13

Step-by-step explanation:

C = 2πr

C = 2π(4)

C = 25.13

Hope this helps!

Answer:

Radius = 21

Step-by-step explanation:

Volume of a sphere = 4/3 * pie * radius^3

12,348 pie = 4/3 * pie * radius ^3

12,348 = 4/3 * radius^3

(12,348 * 3)/ 4 = radius^3

9261 = radius^3

radius = [tex]\sqrt[3]{9261}[/tex]

radius = 21

Answer:

Yes

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\[/tex]

13cm is hypotenuse = c

a is an edge = 5cm

b is an edge = 12cm

This is a right angle triangle

Answer:

37.1

Step-by-step explanation:

12²=144

39²= 1521

1521-144 =1377

Then find the square root of 1377

=37.1

Answer:

0.35

Step-by-step explanation:

j.g susghe yo s9ss9sssisjwus

Answer: D) 385.2

What you give me in the comments 1,540.7......789.4.....1,155.5.....385. I think that was the choice for me to put what kind of answer you want!

Step-by-step explanation: Hope this help :D

Answer:

m = 35

n = 110

Step-by-step explanation:

70/2 = 35

70 + 70 = 140

360 - 140 = 220

220/2 = 110

Answer:

C. 110

Step-by-step explanation:

It decrease each time by 30

230-30=200

200-30=170

170-30=140

So

140-30=110

110 is the correct answer.

Hope this helps!!

Answer:

answer is D I think

Step-by-step explanation:

.............

Answer:

z = 77

y = 103

Step-by-step explanation:

The angle where 103 and z meet is supplementary, which means it is 180. Since we know one side is 103, we just have to subtract this value from 180 to find the other side, 77.

The total angle measure of a trapezoid is 360. Since we have all the values now except for one, we can simply add them all together: 95 + 77 + 85 = 257. Then, subtract this number, 257, from 360, to get the final angle measure as 103.

Hope this helped.

Answer:

2

Step-by-step explanation:

because she hast to pick her favorite and second favorite

Step-by-step explanation:

Consider LHS

[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]

Apply quotient identies

[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]

Multiply the fraction and sine.

[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Make cos x a fraction with cos x as it denominator.

[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]

so

[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Pythagorean Identity tells us sin squared and cos squared equals 1 so

[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]

Apply reciprocal identity.

[tex] \sec(x) = \sec(x) [/tex]