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2 years ago

Need help with this one

Mathematics

1 answer:

Anna007 [38]2 years ago

4 0

Answer:

(d) 42°

Step-by-step explanation:

An angle bisector divides an angle into two equal parts. The original angle has double the measure of either of the parts.

<h3>setup</h3>

∠VSU = 2×∠VST

9x +3 = 2×(5x -3) . . . . . . . substitute given expressions

<h3>solution</h3>

9x +3 = 10x -6 . . . . . . eliminate parentheses

9 = x . . . . . . . add 6-9x

∠VST = 5(9) -3 = 42 . . . . degrees

m∠VST = 42°

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Answer asap, please needed by 2:00 pm

myrzilka [38]

Answer:

x < -3

Step-by-step explanation:

The domain in which the function is increasing or getting bigger is from x is negative infinity to is -3

x < -3

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3 years ago

Witch expression is equivalent to 6^-3

Arturiano [62]

Do you have any options of the equivalent expressions or is it just a plan question that you just asked?

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3 years ago

Read 2 more answers

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π (a) Find the inte

marta [7]

Answer:

f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π

We plot the function using a graphing calculator (See attached image below)

a) 1. Find the interval on which f is increasing.

f(x) increases for

x ∈ [π/2 , 7π/6] ∪ [3π/2, 11π/6]

2. Find the interval on which f is decreasing

f(x) decreases for

x ∈ [0 , π/2) ∪ (7π/6, 3π/2) ∪ (11π/6, 2π]

(b) Find the local minimum and maximum values of f

Local minimum. f = -9

Local maximum. f = 4.5

Please see second image attached

Points,

(x,y) = (2.50673, -2.66882)

(x,y) = (4.14456, 3.79382)

(x,y) = (5.28022, 3.79382)

2. Find the interval on which f is concave up.

x ∈ [0 , 2.50673] ∪ [4.14456, 5.28022]

3. Find the interval on which f is concave down.

x ∈ (2.50673, 4.14456) ∪ (5.28022, 2π]

7 0

3 years ago

Find u and v only please:

tekilochka [14]

Every two triangles are similar. Therefore the sides of triangles are in proportion.

We have the equations:

$\dfrac{3}{5}=\dfrac{3+x}{20}$ cross multiply

$5(3+x)=(3)(20)$ divide both sides by 5

$3+x=(3)(4)$

$3+x=12$ subtract 3 from both sides

$\boxed{x=9}$

--------------------------------------

$\dfrac{3}{4}=\dfrac{9}{y}$ cross multiply

$3y=(4)(9)$

$3y=36$ divide both sides by 3

$\boxed{y=12}$

------------------------------------------

$\dfrac{3}{5}=\dfrac{3+9+u}{60}$

$\dfrac{3}{5}=\dfrac{12+u}{60}$ cross multiply

$5(12+u)=(3)(60)$ divide both sides by 5

$12+u=(3)(12)$

$12+u=36$ subtract 12 from both sides

$\boxed{u=24}$

----------------------------------------------

$\dfrac{3}{4}=\dfrac{24}{v}$ cross multiply

$3v=(4)(24)$

$3v=96$ divide both sides by 3

$\boxed{v=32}$

3 0

4 years ago

The sum of three consecutive odd integers is 87. Which equation could you use to find the three

Alexandra [31]

Answer:

$k+(k+2)+(k+4)=87$

The largest integer is 31.

Step-by-step explanation:

Hi there!

Let k be equal to the smallest of the integers.

Let (k+2) be the next odd integer.

Let (k+4) be the final odd integer.

We're given that the sum of these three integers is 87. Construct an equation:

$k+(k+2)+(k+4)=87$

Combine like terms:

$k+k+2+k+4=87\\3k+6=87\\3k=81\\k=27$

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.

I hope this helps!

7 0

3 years ago