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3 years ago

If f(x) = x² + 7, what is the value of f(4)? Enter the answer in the box. PLEASE HELP .

Mathematics

1 answer:

bazaltina [42]3 years ago

7 0

Answer:

Step-by-step explanation:

With f(4), we plug 4 into the function.

f(4) = 4² + 7

f(4) = 16 + 7

f(4) = 23

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In △ABC,∠B is a right angle. The coordinates for each point are A(10, 7), B(5, 9), and C(3, 4). Rounded to the nearest tenth,

shepuryov [24]

Answer:

$A=14.5\ units^2$

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

$A=\frac{1}{2}(AB)(BC)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(10, 7), B(5, 9), and C(3, 4)

step 1

Find the distance AB

A(10, 7), B(5, 9)

substitute in the formula

$d=\sqrt{(9-7)^{2}+(5-10)^{2}}$

$d=\sqrt{(2)^{2}+(-5)^{2}}$

$d_A_B=\sqrt{29}\ unjts$

step 2

Find the distance BC

B(5, 9),C(3, 4)

substitute in the formula

$d=\sqrt{(4-9)^{2}+(3-5)^{2}}$

$d=\sqrt{(-5)^{2}+(-2)^{2}}$

$d_B_C=\sqrt{29}\ unjts$

step 3

Find the area

substitute the values

$A=\frac{1}{2}(\sqrt{29})(\sqrt{29})$

$A=14.5\ units^2$

5 0

3 years ago

how many servings are in a bag of trail mix that weighs 11 1/2 ounces and each serving of trail miix weighs 3/4 ounces

Mariulka [41]

let's firstly convert the mixed fraction to improper fraction, and then divide.

$\bf \stackrel{mixed}{11\frac{1}{2}}\implies \cfrac{11\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{23}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{23}{2}\div \cfrac{3}{4}\implies \cfrac{23}{2}\cdot \cfrac{4}{3}\implies \cfrac{23}{3}\cdot \cfrac{4}{2}\implies \cfrac{23}{3}\cdot 2\implies \cfrac{46}{3}\implies 15\frac{1}{3}$