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3 years ago

The area of triangle ABC is ____ square units.

Mathematics

2 answers:

denis-greek [22]3 years ago

8 0

Answer:

A = (1/2)(7 units)(5 units) = (35/2) units^2.

Step-by-step explanation:

Call AB "the base" and recognize that its length is 7 units. Call BC "the height" and recognize that its length is 5 units.

Then apply the area-of-a-triangle formula A = (1/2)(base)(height):

A = (1/2)(7 units)(5 units) = (35/2) units^2.

ozzi3 years ago

6 0

Answer: it should be 10!

Step-by-step explanation:

the area of a triange is a=bh/2, so if you plug in your base and height, you get ten!

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Hey, I need help with questions 1 and 2, if anyone can help, please? thanks!

Eva8 [605]

The correct works are:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$ .
$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

<h3>Function Notation</h3>

The function is given as:

$Blue(s) = 2s^2 + 3$

The interpretation when Steven is asked to calculate Blue(s + h) is that:

Steven is asked to find the output of the function Blue, when the input is s + h

So, we have:

$Blue(s + h) = 2(s + h)^2 + 3$

Evaluate the exponent

$Blue(s + h) = 2(s^2 + 2sh + h^2) + 3$

Expand the bracket

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

So, the correct work is:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

$Blue(s) = 2s^2 + 3$

The difference quotient is represented as:

$\frac{f(x + h) - f(x)}{h}$

So, we have:

$\frac{Blue(s + h) - Blue(s)}{h} = \frac{2s^2 + 4sh + 2h^2 + 3 - 2s^2 - 3}{h}$

Evaluate the like terms

$\frac{Blue(s + h) - Blue(s)}{h} = \frac{4sh + 2h^2}{h}$

Evaluate the quotient

$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

Hence, the correct work is:

$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

Read more about function notations at:

brainly.com/question/13136492

4 0

2 years ago

Solve the equation for x.<br>

devlian [24]

Answer:

x=1

Step-by-step explanation:

multiply both sides by 28 (it is the Least Common Multiple) which would bring your equation to be

7x-2= 4x+1

3x=3

x=1

7 0

3 years ago

Read 2 more answers

Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents.

SCORPION-xisa [38]

Answer:

Option 1

Step-by-step explanation:

Given : Function f of x equals 4 times one third to the 2 times x power.

To find : Rewrite the function using properties of exponents ?

Solution :

Writing the function in numeric terms,

f of x equals 4 times one third to the 2 times x power

i.e.

Solve the expression,

i.e. f of x equals 4 times one ninth to the x power.

7 0

3 years ago

The confidence interval is to .

navik [9.2K]

Answer:

See below

Step-by-step explanation:

The purpose of the confidence interval is to give a range of where the true value of a parameter lies given a confidence level.

8 0

2 years ago

The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?

evablogger [386]

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

When x - 0; y = 0 and When x = 80; y = 60.

This gives

$m = \frac{0 - 60}{0 - 80}$

$m = \frac{- 60}{- 80}$

$m = \frac{3}{4}$

The formula is determine as follows;

$y - y_1 = m(x - x_1)$

When x - 0; y = 0; m = 3/4; This gives

$y - 0 = \frac{3}{4}(x - 0)$

$y = \frac{3}{4}(x - 0)$

Open Bracket

$y = \frac{3}{4}x - 0$

$y = \frac{3}{4}x$

The above is an example of a linear equation.

<em>Hence; option B answers the question</em>

8 0

3 years ago