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3 years ago

The isosceles triangle shown has a height of 7 meters and base

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

I just Multiplied 13 x 7 to get 91... I hope it helps but if its wrong I am very sorry

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indictate which of the following are propositions.For the ones which are propositions, determine the truth value.(a) The integer

Semmy [17]

Answer:

Step-by-step explanation:

When we propose an hypothesis, it is either true or false. The same goes for a proposition.

The required objective here is to determine the truth value in the following proposition.

(a) The integer 24 is prime.

(b) Is the integer 315 even?

(d) -4 ∈ Ζ

From the first option:

(a) The integer 24 is prime.

The sentence is a proposition but the truth value is FALSE because a prime number is a number that can only be divide by 1 and itself but in the case of 24, Its factors include 1,2,3,4,6,8,12 and 24 which make 24 to falsify the proposition of being a prime number.

(b) Is the integer 315 even?

This option is not a proposition but rather a question since it has a question mark, however, 315 is an odd number since it is not divisible by 2.

( c) The sum of 3 and 4 is 12.

This is a proposition and the truth value is FALSE

The sum of 3+4 = 7 ; Hence; 7 ≠ 12

(d) -4 ∈ Ζ

This is a proposition and the truth value is TRUE.

-4 ∈ Ζ is read as ( minus four is an integer (∈) of Z )

Yes, this is a proposition and its Truth value is TRUE , since minus four is an integer (∈) of Z

6 0

3 years ago

To graph the line y = 3/2x + 7 *

Firdavs [7]

Answer:

Answer is C

Step-by-step explanation:

Hope it helps!

3 0

3 years ago

Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.

Alexxandr [17]

9514 1404 393

Answer:

5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

A = Δy = y2 -y1 = 2 -(-3) = 5

B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

5x -y = 5(-7) -2 = -37

The equation of the line is ...

5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}$