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3 years ago

Anyone know the area??

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

3 0

Area= 1/2(base)(height)
A= 1/2(7)(2)
A= (1*2*7)/2
A= 14/2
A= 7 units squared

Hope this helps! :)

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Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation

Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; $y-y_1=m(x-x_1)$ ......[1] ; where m is the slope and a point $(x_1, y_1)$ on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement: After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

$m = \frac{y_2-y_1}{x_2-x_1}$

Substitute the given values we get;

$m = \frac{40-25}{8-3}=\frac{15}{5}$ = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

$y-25=3(x-3)$

Using distributive property; $a \cdot(b+c) = a\cdot b + a\cdot c$

$y-25 = 3x - 9$

Add 25 on both sides, we get;

$y-25+25 = 3x - 9+25$

Simplify:

y =3x + 16

if x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

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3 years ago

What is the product of (3a + 2)(4a? - 2a + 9)?

yan [13]

Answer:

The answer is 12a^3+2a²+23a+18 ....

Step-by-step explanation:

The given terms are:

(3a + 2)(4a² - 2a + 9)

Now multiply each value of second bracket with the first bracket:

=4a²(3a+2) -2a(3a+2)+9(3a+2)

=12a^3+8a²-6a²-4a+27a+18

Solve the like terms:

=12a^3+2a²+23a+18

Therefore the answer is 12a^3+2a²+23a+18 ....

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2 years ago

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3 years ago

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3 years ago

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What is the value of h when the function is converted to vertex form?

Dmitrij [34]

Answer: The value of 'h' is 3.

Step-by-step explanation: Given that the vertex form of a function is given by

$g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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$g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (ii), we have

$g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.$

Comparing it with the vertex form (i), we get

$h=3.$

Thus, the value of 'h' is 3.

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3 years ago