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2 years ago

Which of the following expressions is equivalent to –6?

Mathematics

1 answer:

Inessa [10]2 years ago

8 0

Answer:

the correct answer po is letter A

Step-by-step explanation:

Tinatamad akong mag explain pero tama po 'yan

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Evealute the expression when m= -2 m^2+9m+3

Volgvan

Step-by-step explanation:

m=-2

m^2+9m+3

substitute-2 in m

-2^2+9(-2)+3

= -19

8 0

2 years ago

Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A

alekssr [168]

Answer:

$\theta_{CAB}=128.316$

$\theta_{ABC}=25.842$

$\theta_{BCA}=25.842$

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

$r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

$BC= \sqrt{(1-1)^2+(3-(-3))^2}=9$

$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

$BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}$

$\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}$

$\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}$

$\theta_{CAB}=\arccos{-\dfrac{0.62}}$

$\theta_{CAB}=128.316$

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

$\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}$

$\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)$

$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

$\theta_{ABC}=\arcsin{0.4359}\right)$

$\theta_{ABC}=25.842$

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

$\theta_{BCA}=25.842$

this can also be checked using the fact the sum of all angles inside a triangle is 180

$\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180$

$25.842+128.316+25.842$

$180$

6 0

3 years ago

Read 2 more answers

Help pleaseee need it fast anyone??

natima [27]

Answer:

I think its: f(3)= g(3)

Step-by-step explanation:

7 0

2 years ago

Arada [10]

Answer:

Gerrard

Step-by-step explanation:

Let the size of each poster be $x$

Eve's poster portion painted will be

$=\frac{1}{6}\times x\\=\frac{x}6}$

Gerrard's painted portion will be:

$=\frac{1}{5}\times x\\=\frac{x}{5}$

From the two inequalities, we find that $\frac{x}{5}$ is greater than $\frac{x}{6}$ by x/30

$\frac{x}{5}-\frac{x}{6}\\=\frac{x}{30}\\$

hence Gerrard has the larger blue section. His portion is 16.67% greater than Eve's

6 0

3 years ago

Help please!! Picture below.

saul85 [17]

X+ y <span>≥ </span>12
2.75x +3.50y < 35

Hope this helps

7 0

2 years ago