Question 6(Multiple Choice Worth 1 points)
(01.02 MC)
Solve the equation 4(2x + 1) = 6x - 12.
o
13
X=-
2
Ox= -8
O x = 8
ex="
11
2

Answer:

15

Step-by-step explanation:

to find angle C, you subtract 50 from 180 which is 130. that means then you add 35 and 130 together which is 165. then subtract 180-165 which is 15.

The measure of the angle ∠BAC of the triangle ABC will be 15°.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In triangle ABC, the angle B is 35° and the exterior angle C is 50°.

The measure of the angle ∠BAC of the triangle ABC will be,

We know that the sum of any two interior angle of the triangle is equal to the third exterior angle of the triangle.

The sum of the angles ∠BAC and ∠ABC is equal to angle ∠BCF. Then the equation will be

∠BAC + ∠ABC = ∠BCF

    ∠BAC + 35° = 50°

             ∠BAC = 50° – 35°

             ∠BAC = 15°

Thus, the measure of the angle ∠BAC will be 15°.

More about the triangle link is given below.

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Answer:

In a product like:

a*b = 0

says that one of the two terms (or both) must be zero.

Here we have our equation:

x^2 + 12 = 7x

x^2 + 12 - 7x = 0

Let's try to find an equation like:

(x - a)*(x - b) such that:

(x - a)*(x - b)  = x^2 + 12 - 7x

we get:

x^2 - a*x - b*x  -a*-b = x^2 - 7x + 12

subtracting x^2 in both sides we get:

-(a + b)*x + a*b = -7x + 12

from this, we must have:

-(a + b) = -7

a*b = 12

from the first one, we can see that both a and b must be positive.

Then we only care for the option with positive values, which is x =3 or x = 4

replacing these in both equations, we get:

-(3 + 4) = -7

3*4 = 12

Both of these equations are true, then we can write our quadratic equation as:

(x - 3)*(x - 4) = x^2 + 12 - 7x

The correct option is the last one.

Answer:

d

Step-by-step explanation:

Answer:

The terminal velocity is 8.00ft/s

Step-by-step explanation:

Given

[tex]v(t) = 1000t^2 - 5t + 8[/tex]

Required

The terminal velocity

This implies that we calculate the maximum velocity.

First, we calculate the maximum value of t using:

[tex]t_{max} = -\frac{b}{2a}[/tex]

Where:

[tex]v(t) = at^2 + bt + c[/tex]

So, we have:

[tex]t_{max} = -\frac{-5}{2*1000}[/tex]

[tex]t_{max} = \frac{5}{2000}[/tex]

[tex]t_{max} = 0.0025[/tex]

Substitute this value of t in [tex]v(t) = 1000t^2 - 5t + 8[/tex] to get the maximum velocity

[tex]v(t) = 1000t^2 - 5t + 8[/tex]

[tex]v(t) = 1000 * 0.0025^2 - 5 * 0.0025 + 8[/tex]

Using a calculator, we have:

[tex]v(t) = 7.99375[/tex]

Approximate

[tex]v_{max} = 8.00ft/s[/tex]

Velocity is the rate of change of its position with respect to time. The terminal velocity of the skydiver is 200 ft/sec.

Velocity is the rate of change of its position with respect to time.

[tex]V = \dfrac{dy}{dt}[/tex]

Given the velocity of the skydiver by the function v(t)=1000t/(5t+8), after some time, the velocity will become terminal velocity and then it can not be increased further, therefore, the terminal velocity can be written as,

[tex]\lim_{t \to \infty} V(t) = \lim_{t \to \infty} \dfrac{1000t}{5t+8}\\\\[/tex]

                    [tex]= \lim_{t \to \infty} \dfrac{\frac{1000t}{t}}{\frac{5t}{t}+\frac{8}{t}}\\\\[/tex]

                    [tex]= \dfrac{1000}{5+\frac{8}{t}}\\\\= \dfrac{1000}{5}\\\\=200[/tex]

Hence, the terminal velocity of the skydiver is 200 ft/sec. It can be confirmed by plotting the function on the graph.

Learn more about the Terminal Velocity:

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Answer:

x = 25°

Step-by-step explanation:

3x + 2x + x + 30° = 180°

6x + 30° = 180°

6x = 150°

x =25°

=> 3x = 25 * 3 = 75°

=> 2x = 25 * 2 = 50°

=> x + 30° = 25° + 30° = 55°

Answer: Choice D

Explanation:

The increase of 9.8% rounds to 10% when rounding to the nearest ten

An increase of 10% would use the multiplier 1.1

Think of it like saying 1 + 0.10 = 100% + 10%

Similarly, the 5.1% rounds to 5% and an increase of this amount will use the multiplier 1.05

So if we started with 20 items, then 20(1.1)(1.05) is the expression that estimates an increase of 10% followed by an increase of 5%. The order doesn't matter (so you could increase by 5% first, then 10% later).

Answer:

a. 360°

b. 540°

Step-by-step explanation:

a The sum of the exterior angles of any n-sided polygon is always 360°. Therefore:

a + b + c + d + e = 360°

b. Sum of interior angles of an n-sided polygon is given as (n - 2) × 180

The polygon, QRTXW is a 5 sided polygon, therefore n = 5.

Plug in the value of 5 into the equation:

Sum of interior angles of QRTXW = (5 - 2) × 180

= 3 × 180

= 540°

Answer:

i) The value of x is 3.

ii) TE = 20cm

RN = 20cm

Step-by-step explanation:

According to the properties of rectangles,

The diagonals of rectangles are equal and bisect each other at 90°.

As per this,

OR = OT

[tex]2x + 4 = 3x + 1[/tex]

[tex]4 - 1 = 3x - 2x[/tex]

[tex]3 = x[/tex]

TE = 2OT

TE = 2(3x + 1)

= 6x + 2

= 6(3) + 2

= 18 + 2

= 20

RN = 2OR

RN = 2(2x + 4)

= 4x + 8

= 4(3) + 8

= 12 + 8

= 20

Answer:

use system of equations

Step-by-step explanation:

Set one up for the Smith family and one for the Jones family

Answer:

Step-by-step explanation:

u799

Answer:

34

Step-by-step explanation:

First we need to do 2/3*21, which equals 14 as 3 and 21 can be simplified to 1 and 7. 7 * 2/1= 14. Then we add the 20 to 14, 20+14= 34

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{y = \dfrac{2}{3}x + 20}[/tex]

[tex]\mathsf{y =\dfrac{2}{3}(21) + 20}[/tex]

[tex]\mathsf{\dfrac{2}{3}(21) + 20 = y }[/tex]

[tex]\mathsf{\dfrac{2}{3}(21)=\bf14}[/tex]

[tex]\mathsf{14 + 20 = y}[/tex]

[tex]\mathsf{14 + 20 = \bf 34}[/tex]

[tex]\huge\checkmark\boxed{\huge\textsf{y = 34}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf y = 34}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\huge\text{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

9.7 = [tex]\frac{97}{10}[/tex]

Count the number of places in the decimal number after the decimal point.

Here , there is only one place.

So, multiply and divide by 10. 9.7 *10/1*10 = 97/10

Answer:

The explicit formula of that sequence is T - 5

Step-by-step explanation:

Let T represent each term in the sequence. So now try replacing T with each term in the sequence. Like this ;

7 - 5 = 2

2 - 5 = -3

-3 - 5 = -8

hope this helps

thank you, you too! :D

Answer:

[tex]\frac{y^8}{x^{10}}[/tex]

Step-by-step explanation:

Given

[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]

Required

The equivalent

Apply law of indices to the inner bracket

[tex](x^{-4--9}y^{1 -5})^{-2}[/tex]

[tex](x^{5}y^{-4})^{-2}[/tex]

Rewrite as:

[tex]\frac{1}{(x^{5}y^{-4})^2}[/tex]

Expand

[tex]\frac{1}{(x^{5*2}y^{-4*2})}[/tex]

[tex]\frac{1}{(x^{10}y^{-8})}[/tex]

Apply law of indices

[tex]\frac{y^8}{x^{10}}[/tex]

Answer:

Step-by-step explanation:

This is a 30°-60°-90° right triangle.

AC is hypotenuse, AB is opposite side to 30° angle.

We know that in such a triangle the side opposite to 30° angle is half the hypotenuse.

So we have:

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

SI = PxTxR/100

SI= (13000)(6)(4.7)/100

SI = 366600/100

SI= 3666

Answer:

y = −14x + 3

Step-by-step explanation:

Parallel lines have the same slope

The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )

Where m = slope

-14 takes "m's" place meaning that the slope = -14

If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14

The only equation that has a slope of -14 is D

Answer:

30 inches

Step-by-step explanation:

16^2 + x^2 = 34^2

256 + x^2 = 1156

X^2 = root 900

X = 30

Answer:

4) 30.

Step-by-step explanation:

We can find the other leg of the right triangle by using the Pythagorean Theorem formula.

[tex]formula-a^2+b^2=c^2[/tex]

[tex]legs-a,b[/tex]

[tex]hypotenuse-c[/tex]

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

Remember, the legs of the triangle are the sides that form the right angle. The hypotenuse is the longest side of the triangle.

Here, I am solving for one of the legs.

[tex]16^2+b^2=34^2[/tex]

[tex]256+b^2=1156[/tex]

[tex]1156-256=900[/tex]

[tex]b^2=900[/tex]

[tex]b=30.[/tex]

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

Therefore, the length of the second leg is 30 inches.

Answer:

[tex]\approx 26.14[/tex]

Step-by-step explanation:

In this problem, one is given a right triangle, with the length of the hypotenuse given and one of the angles in the triangle. One is asked to find the length of one of the legs. In this situation, one can use right-angle trigonometry. Right angle trigonometry has the following ratios,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the sides named (opposite) and (adjacent) are subjective depending on the angle of reference. The side named (hypotenuse) is the side opposite the right angle, its name does not change. In this case, one is given an angle measure and the measurement of the hypotenuse. One is asked to find the length of the side opoosite this angle. One should use the ratio of sine (sin) to achieve this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(69)=\frac{opposite}{28}[/tex]

Inverse operations,

[tex]28(sin(69))=opposite[/tex]

[tex]26.14\approx opposite[/tex]

Answer:

26.14

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] and filling in:

[tex]-15=(0)t+\frac{1}{2}(-32)t^2[/tex] which simplifies down to

[tex]-15=-16t^2[/tex] so

[tex]t=\sqrt{\frac{-15}{-16} }[/tex] so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = [tex](80)(.968) +(0)(.968)^2[/tex] and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

For the 1st picture,

[tex]2(3x - 1) \geqslant 4x - 6[/tex]

[tex]6x - 2 \geqslant 4x - 6[/tex]

[tex] - 2 \geqslant - 2x - 6[/tex]

[tex]4 \geqslant - 2x[/tex]

[tex]x \geqslant - 2[/tex]

This means x has to be greater than -2 so -1 is the answer.

For the 2nd picture the answer is -10.

For the 3rd picture, the answer is the first three options.

For the 4th picture, the answer is the 3rd option.

again again again again again again again hello or merhaba dude

merhaba = hello

answers are at the photos

GOOD LUCK:D

greetings from Turkey (≧▽≦)

Answer:

x = -4

Step-by-step explanation:

Plug in -4 into the function and solve for x:

f(x) = 6x + 20

-4 = 6x + 20

-24 = 6x

-4 = x

So, the answer is x = -4

Answer:

slope = -2

equation y= -2x -1

y - intercept (0,-1)

Answer:

y-int: -1

Slope: -2/1

Equation: Y=-2/1x-1

Step-by-step explanation:

Answer:

y = -5

o = 35 degrees

Step-by-step explanation:

If you replace y with -5, the statement  7y = 4y - 15 is correct. You get -35 =  -35. Hope this helped!

Answer:

Sale price = $45.75

Step-by-step explanation:

Original price = $48.41

Percentage Discount = 5.5%

Amount of discount = Percentage Discount × Original price

= 5.5% × $48.41

= 5.5/100 × $48.41

= 0.055 × $48.41

= $2.66255

Sale price = Original price - Amount of discount

= $48.41 - $2.66255

= $45.74745

Approximately,

Sale price = $45.75

Answer:

D

Step-by-step explanation:

The amount of miles increase and the amount of gasoline used increases

Answer:

D

Step-by-step explanation:

The inscribed angle XYZ is half the measure of its intercepted arc XZ , then

arc XZ = 2 × 72° = 144° → D

Answer:

41/30

Step-by-step explanation:

2/3 + 1/5 + 2/4

= 41/30

Answer:

solve for what exactly, there is no equation here

Step-by-step explanation:

please there's no equation here