what is the base of a triangle if the height is 8 in. and the area is 28 in. squared

Answer:

8

Step-by-step explanation:

1. Use the Pythagorean theorem: a^2+b^2=c^2.

You are already given c (which is always the longest side of the triangle) and one of the legs, which can be either a or b.

2. Put the numbers into the equation and square them.

6^2+b^2=10^2

When you square the numbers, it becomes 36 + b^2 = 100.

3. Subtract 36 from both sides and take the square root of the difference.

b^2 = 64

[tex]\sqrt{64}[/tex] = 8

Answer: 8cm

Step-by-step explanation: Let’s use the Pythagorean Theorem! 6^2+x^2=10^2

36+x^2=100

x^2=64

X=8

Answer:

second

Step-by-step explanation:

their angles are equal and their sides are proportional if the figures are similar

Answer:

B, Their angles are equal and their sides are proportional.  

Step-by-step explanation:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

Answer:

X = 14

Step-by-step explanation:

Answer:

x-14

Step-by-step explanation:

Answer:

20 cars

Step-by-step explanation:

10,000 ÷ 500 = 20

Answer:

2 cars

Step-by-step explanation:

4,000 + 500 = 4,500 x 2 =10,000

thus its 2 cars

Answer:

A.

Step-by-step explanation:

it is in y=mx+b format

Answer:

Step-by-step explanation:

Given

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

Answer:

-6/6 = -1

Step-by-step explanation:

y2 - y1                       0 - 6          -6

x2 - x1                       2 - 4           6   simplify and you get -1

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ5

The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

Answer:

2/8

Step-by-step explanation:

2/8 or 1/4

Answer: 2/8

Step-by-step explanation:

yuh

Answer:

4

Step-by-step explanation:

4 x .25 = 1

Answer:

its 4

Step-by-step explanation:

1÷4×100

=25%

(1×100)÷25

=4

Answer:

10.95 for a, b is definitely from a different problem

Step-by-step explanation:

3*3.65=10.95

Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The domain is the list of x-values in the table. Choice A correctly lists the domain values.

The range is the list of y-values in the table. Choice B incorrectly describes the domain.

For x = -1, the table tells you f(x) = 6, so f(-1) = 6.

For x = 5, the table tells you f(x) = 12, so f(5) = 12, not -2.

Choices A and C are correct.

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

Answer:

A. F(x)=x

Step-by-step explanation:

Answer:

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The terms of the sequence are 1, -3, 9, -27

∵ -3 ÷ 1 = -3

∵ 9 ÷ -3 = -3

∵ -27 ÷ 9 = -3

∴ There is a common ratio between each two consecutive terms

∴ The sequence is geometric

∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where

∵ The first term is 1

∴ a = 1

∵ The common ratio is -3

∴ r = -3

→ Substitute them in the formula above

∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]

∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

∴ The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Answer:

63

Step-by-step explanation:

21*3

Answer:

The slope would be -2 with a y-intercept of (0, -3).

I hope this helped to answer your question.

Answer:7

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

no two points have the same y value

Answer:

-80

Step-by-step explanation:

Answer:

I think it B

Step-by-step explanation:

I think it is B

Hii

(x-2)(x+2)/x(x+5)

=(-4-2)(-4+2)/-4(-4+5)

=(-6)(-2)/-4(1)

=12/-4

=-3

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