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3 years ago

Ls x=5 a linear function?

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

X = 5 is not a linear function
Function cannot be a vertical line; do vertical line test

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Find each letter angle measurement. * Explain your reasoning for ex 54° a b c

kotegsom [21]

Step-by-step explanation:

a=54 v.o.a

a=b =54 alternative

c=b =54 v.o.a

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3 years ago

The length and breadth of a rectangle are in the ratio 3:2 respectively. If the sides of the rectangle are increased by 1 meter

Aleks04 [339]

ANSWER:

The length and breadth of the rectangle are 18 m and 12 m.

SOLUTION:

Let the length and breadth of a rectangle be "l" and "b"

Given,length and breadth of the rectangle are in ratio 3 : 2

Then, length : breadth :: 3 : 2

$\begin{array}{l}{\frac{l}{b}=\frac{3}{2}} \\\\ {l=\frac{3 b}{2}}\end{array}$ -- eqn 1

After changing the length and breadth by 1 meter on both sides, length and breadth becomes L+2 and b+2

Now, the ratio of length to breadth is 10 : 7

Length : breadth :: 10 : 7

$\frac{l+2}{b+2}=\frac{10}{7}$

$(l +2 ) \times 7 = 10 \times ( b + 2)$

7l + 14 = 10b + 20

10b – 7l + 20 -14 = 0

10b – 7l + 6 =0 -- eqn (2)

Now, substitute “l” value in (2)

$10 b-7\left(\frac{3 b}{2}\right)+6=0$

$10 b-\frac{21 b}{2}+6=0$

20b – 21b + 12 = 0

-b + 12 = 0

b = 12.

Substitute b value in (2)

10(12) – 7l + 6 = 0

120 + 6 = 7l

7l = 126

l = 18

hence, the length and breadth of the rectangle are 18 m and 12 m.

6 0

3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Lerok [7]

Answer:

$H_{\0}:\mu =120$ $H_{\0}:\mu \neq 120$

Step-by-step explanation:

it is given in question that

sample space n=34

μ the population mean =120

the sample mean $\bar{x}=115$

the population standard deviation σ=20

we have to find the null hypothesis and alternative hypothesis

null hypothesis

the average braking distance for a small car travelling at 65 miles per hour equals to 120 feet

so $H_{\0}:\mu =120$

Alternative hypothesis

the average braking distance for a small car travelling at 65 miles per hour not equals to 120 feet

so $H_{\0}:\mu \neq 120$

4 0

3 years ago

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A triangle has squares on its three sides as shown below. What is the value of x? (1 point) x cm 3 cm 4 cm 1) 3 centimeters O2)

Karolina [17]

Answer:

5cm

Step-by-step explanation:

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3 years ago

Mr. Sanchez has a bag of marbles. The bag contains 4 red marbles, 3 green marbles, and 3 blue marbles. Mr. Sanchez will be rando

Deffense [45]

Answer:

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Step-by-step explanation:

the total is 10 and there are 4 red marbles.

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3 years ago

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