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3 years ago

Finding the inverse of y=(x+3)^2

Mathematics

1 answer:

Julli [10]3 years ago

8 0

Answer:

(sqrt)x -3=y

Step-by-step explanation:

x=(y+3)^2

$\sqrt{x}$ = $\sqrt{(y+3)^{2}$

$\sqrt{x}$ =y+3

$\sqrt{x}$ -3=y

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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

7 0

3 years ago

7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.

PtichkaEL [24]

Answer:

We get value of y: y = 2

Step-by-step explanation:

The points (3,5) and (2, y) are on a line with a slope of 3. Find y.

We can find y using formula of finding slope of a line.

The formula is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=3, y_1=5, x_2=2, y_2=y$ and Slope = 3

Putting values and finding y

$Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2$

So, we get value of y: y = 2

5 0

2 years ago

Which simplified expression is the difference of (0.5n+0.3) - (0.75n-0.45)

never [62]

The answer is B . your welcome

4 0

3 years ago

The ratio of boys to girls is 5:3 there are 80 more boys than girls how many girls are there

shtirl [24]

Answer: 120

<u>Step-by-step explanation:</u>

Ratio Quantity

Boys: 5 80 + x

Girls: 3 x

$\dfrac{5}{3}=\dfrac{80+x}{x}\\\\\\5x=3(80+x)\\\\5x=240+3x\\\\2x=240\\\\x=120$

5 0

2 years ago

If anyone knows how to do this pls help I could really use it

nekit [7.7K]

The perimeter of the triangle, namely the sum of all its 3 sides, is 110.

now, the three sides are in a 6:7:9 ratio, namely, if we divide 110 by (6+7+9), it will give us hmmm 110/22, a quotient of 22 equal pieces, namely how many times 22 would go into 110.

now, the small side, takes 6 of those pieces, the medium side takes 7 of them and the largest takes 9 of those pieces.

110/22 = 5

the small side is then 6(5).

the medium side is 7(5).

and the largest side is 9(5).

add them up, and you'd get the perimeter, 110 inches.

7 0

3 years ago