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3 years ago

If a statement is true, then it’s converse must be true as well. True or false

Mathematics

1 answer:

TEA [102]3 years ago

5 0

Answer: true

Explanation: because if a statement is true then it’s convert

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Find the exact length of the third slide 4 and 3

Mariulka [41]

Answer:

Step-by-step explanation:

4^2+3^2=c^2

16+9=25

square root of 25 is 5

8 0

3 years ago

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Let line L1 be the graph of 5x + 8y = -9. Line L2 is perpendicular to line L1 and passes through the point (10,10). If line L2 i

AleksandrR [38]

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So firstly, remember that perpendicular lines have slopes that are negative reciprocals to each other. To find the slope of L1, the easiest method is to convert it into slope-intercept form.

Firstly, subtract 5x on both sides of the equation: $8y=-5x-9$

Next, divide both sides of the equation by 8 and your slope-intercept form will be $y=-\frac{5}{8}x-\frac{9}{8}$

Now looking at this equation, the slope appears to be -5/8 for L1. Since L2 is perpendicular, this means that the slope of L2 is 8/5.

Next, to find the y-intercept, put the slope into the m variable and put (10,10) into the x and y placeholders to solve for b as such:

$10=\frac{8}{5}*10+b\\10=16+b\\-6=b$

Putting it together, your equation is $y=\frac{8}{5}x-6$ , with m = 8/5 and b = -6.

Next, to find the sum you first need to convert -6 so that it has a denominator of 5. To do this, multiply -6 by 5/5 as such:

$-\frac{6}{1}\times\frac{5}{5}=-\frac{30}{5}$

Next, add the numerators together:

$-\frac{30}{5}+\frac{8}{5}=-\frac{22}{5}$

Your final answer is -22/5.

5 0

3 years ago

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Financial planning does or does not require preparation

slega [8]

financial planning does require preparation.

4 0

3 years ago

Evaluate —2y – 3x for x = 1 and y= -2. The value of the expression is

bulgar [2K]

Answer:

Step-by-step explanation:

Given

- 2y - 3x ← substitute x = 1 and y = - 2 into the expression

= - 2(- 2) - 3(1)

= 4 - 3

= 1

7 0

3 years ago

Running from the top of a flagpole to a hook in the ground there is a rope that is 13 meters long. If the hook is 5 meters from

bagirrra123 [75]

Answer:

12 meters

Step-by-step explanation:

Looking at the problem we can see that it typifies a right angled triangle. The rope running from the top of the flagpole to the hook on the ground is the hypotenuse of the triangle. Let us call this hypotenuse c. Let the distance between the hook and the foot of the flagpole be b. Let the height of the flagpole be a.

From Pythagoras theorem;

c^2 = a^2 + b^2

a^2= c^2 - b^2

a= √c^2-b^2

From the question

c= 13 metres

b= 5 metres

a= the unknown

a= √c^2-b^2

a= √(13)^2 - (5)^2

a= √169 - 25

a= √144

a= 12 meters

6 0

3 years ago

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