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2 years ago

The base of triangle is 6cm and its height is 8cm. Use the formula to find its area.

Mathematics

2 answers:

slavikrds [6]2 years ago

8 0

Answer:

24cm²

Step-by-step explanation:

Area of triangle= 1/2*b*h

=1/2*6*8=24cm²

pogonyaev2 years ago

7 0

Answer:

24cm^2

Step-by-step explanation:

Area of a triangle = 1/2*b*h

Given

base b = 6cm and

Height h = 8cm

Area = 1/2 x 6 x 8

= 6 x 8 /2

= 48/2

= 24cm^2

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Is the system of equations consistent and independent, consistent and dependent, or inconsistent?

ollegr [7]

Answer: Consistent and independent.

Step-by-step explanation:

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Now, first let's define the terms used in the question.

consistent and independent: we have only one solution.

consistent and dependent: we have infinite solutions.

inconsistent: we do not have solutions.

Now, let's look at the system:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations:

(y/y) = (4x - 4)/(-4x + 4)

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

let's see if we can solve this for x.

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

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

and to find the value of y, we can input this value of x in one of the equations:

y = 4*1 - 4 = 0.

Then we have only one solution, (1, 0).

(and will be the same if you input x in the other equation, as the right side is minus the right side of the first equation)

Then the system is consistent and independent.

5 0

2 years ago

Identify an equation in point-slope form for the line parallel to y = 3x-7 that

Zigmanuir [339]

Answer:The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

8 0

2 years ago

Read 2 more answers

(1.)What is the value of 35−3m , when m = 4?

Len [333]

(1.) 35-3m
m= 4

35-3m
= 35-3(4)
= 35-12 (do the multiple/division first before doing the addition/subtraction)
= 23

C. 23

(2.) 1 + x ÷ 5
x = 80

1 + x ÷ 5
= 1+80÷5
= 1+16
= 17

(3.) mx-y
m=5, x=3, and y=8

mx-y
= 5(3)-8
= 15-8
= 7

(4.) 3a+15+bc−6
a=7, b=3, and c=15

3a+15+bc-6
= 3(7)+15+3(15)-6
= 21+15+45-6
= 75

4 0

3 years ago

Vance wants to determine if an old photo frame is still rectangular. The height of the frame is

sveticcg [70]

Answer:

<em>The old photo frame is still rectangular</em>

Step-by-step explanation:

<u>Rectangles</u>

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

$d^2=a^2+b^2$

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

$10^2=6^2+8^2$