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2 years ago

Please I need help in finding the diameter

Mathematics

1 answer:

Goshia [24]2 years ago

5 0

Answer:

im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo

Step-by-step explanation:

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Work out the equation of a line which has a gradient of 2 and passes through the line (1, 4).

KATRIN_1 [288]

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

We have given that,

A line that has a gradient of 2 and passes through the line (1, 4).

We have to determine the equation of the line,

<h3>What is the gradient?</h3>

The gradient also known as the slope is the defined as

Gradient (m) = change in y coordinate / change in x coordinate

The equation of a line passing through a given point is given by the following equation

y – y₁ = m(x – x₁)

How to determine the equation of the line passing through point (1,4)

x coordinate (x₁) = 1

y coordinate (y₁) = 4

Gradient (m) = 2

Equation =

y – y₁ = m(x – x₁)

y – 4 = 2(x – 1)

Clear bracket

y – 4 = 2x – 2

Make y the subject by adding 4 to both sides

y – 4 + 4 = 2x – 2 + 4

y = 2x + 2

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

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3 0

1 year ago

If x2 mx m is a perfect-square trinomial, which equation must be true? x2 mx m = (x – 1)2 x2 mx m = (x 1)2 x2 mx m = (x 2)2 x2 m

Leno4ka [110]

An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation $m^2+2m$ . Since there is only one value that can satisfy this equation that is 2.

Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

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6 0

2 years ago

The product of 8 and b is less than or equal to 13

Ugo [173]

Answer:

1 or 0

Step-by-step explanation:

8 x b = 13

You can't divide 8 by two because that equals 16 so 8 x 1 is less than 8.

And 8 x 0 is 0

7 0

2 years ago

(10 POINTS IF YOU ANSWER) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same am

WINSTONCH [101]

I think they both increased by 3 and the new dimensions is 8 ft by 7 ft

4 0

2 years ago

Read 2 more answers

Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb

jonny [76]

Answer: The answer is 400 blue marbles.

Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

$n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,$

and number of blue marbles is

$n_b=560-364=196.$

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

$n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.$

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

$65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.$

Thus, 400 blue marbles need to be added to the bag.

5 0

3 years ago

Read 2 more answers