Solve for x.
5x - 6 = 4x + 8

Answers

Answer 1

Answer: 5x - 6 = 4x + 8
-4x -4x

x - 6 = 8
+6 +6

x = 14

Answer: x = 14

Answer 2

Answer: First let's get X to one side by subtracting 4x from both sides. (5x-4x) -6 = 8. x-6=8. Now we add 6 to both sides to isolate "x". x=8+6=14. Our answer is x=14.

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A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as shown. The radius of the disc is 35 millimeters. Find the area of the pendant. Use 3.14 for π and round to the nearest tenth

Answers

Answer:

2884.8 millimeters squared

Step-by-step explanation:

Given:

The radius of the disc is 35 millimeters, so the area of it is:

π $r^(2)$ = 3.14* $35^(2)$ = 3846.5

Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5

π $r^(2)$ = 3.14* $17.5^(2)$ =961.6

=> the area of the pendant = 3846.5 - 961.6 =2884.8 millimeters squared

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Given:

Given that ΔTUV is a right triangle. The measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet.

We need to determine the length of TU.

Length of TU:

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=(opp)/(hyp)$

where $\theta=55^(\circ)$ , $opp=82$ and $hyp =TU$

Substituting the values, we get;

$sin \ 55^(\circ)=(82)/(TU)$

Simplifying, we get;

$TU=(82)/(sin \ 55^(\circ))$

$TU=(82)/(0.819)$

$TU=100.12$

Rounding off to the nearest tenth, we get;

$TU=100.1$

Thus, the length of TU is 100.1 feet.

Using the U- Substitution u=sqrt(2x), integral form 2-8 dx/ sqrt(2x) + 1 is equivalent to ...I'm not quite sure how to solve using u substitution.

Help please!

Answers

We will use u-substitute: $u= √(2x) , (du)/(dx)= (1)/( √(2x) )= (1)/(u)$ Then for substitution:dx=u du. and integral becomes: $\int { (u)/(u+1) } \, du = \int { (u+1-1)/(u+1) } \, du= \int{1} \, du- \int { (1)/(u-1) } \, dx$ =u-ln(u+1)= $√(2x)-ln( √(2x)+1)$ . Now we will change the values of limits: $√(16)-ln( √(16)+1)-( √(4)-ln( √(4)+1))$ =4-ln(5)-2+ln(3)=2+ln(0,6)=2-0.51=1.49

Work out a volume of a prism 4m x 4m x 7m

Answers

multiply all of that together

7x4= 28

28x4=112

A bag contains 12 slips of paper of the same size. Each slip has one number on it, 1-12. Describe an impossible event.

Answers

There are many impossible events. Here are a few.
I'm sure you can think of at least 15 more:

-- Pull 5 multiples of 3 from the bag.

-- Pull 3 multiples of 5 from the bag.

-- Pull 7 odd numbers from the bag.

-- Pull 7 even numbers from the bag.

-- Pull two slips from the bag whose sum is more than 21 .

-- Pull three slips from the bag whose sum is more than 33 .

-- Pull two slips from the bag whose sum is less than 3 .

-- Pull three slips from the bag whose sum is less than 6 .

-- Pull two slips from the bag whose product is more than 132 .

-- Pull two slips from the bag whose product is less than 2 .

etc.

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?A.right 1 unit
B.left 1 unit
C.right 2 units
D.left 2 units

Answers

The vertex of f(x) = x^2 is (0,0)

The vertex of g(x) = x^2 + 2x + 1 = 0 is (-1,0)

Then, translating the f(x) one unit to the left will map (0,0) onto (-1,0).

Answer B: left 1 unit.

Answer: left 1 unit

Step-by-step explanation:

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