The product of a number and 3 is equal to the sum of the number and 12.

Answer: the graph is shifted 6 units down

Step-by-step explanation:

Answer:

[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]

Step-by-step explanation:

48 = 3 × 16

75 = 3 × 25

_________

Then, a Complete factorization of 48x² - 75 is :

[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]

_____________________

Now let’s solve our equation 48x² - 75 = 0

48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0

[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]

In the given polygon-

>>Two of the angles are of 90⁰

The sum of all angle in n-sided polygon is given by -

[tex]\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}[/tex]

Here number of sides,n = 8

So ,the sum of all angle = [tex]\sf (8-2)\times 180[/tex]

[tex]\sf \implies 6 \times 180[/tex]

[tex]\sf \implies 1080 \degree[/tex]

>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of [tex]\theta[/tex] only.

[tex]\implies \sf 1080- 2\times 90[/tex]

[tex]\implies \sf 1080- 180[/tex]

[tex]\implies \sf 900 \degree [/tex]

Now, Sum of remaining 6 angles = 6[tex]\theta[/tex]

Also, 6[tex]\theta[/tex] = 900⁰

[tex]\theta = \dfrac{900}{6}[/tex]

[tex]\theta = 150 \degree[/tex]

Answer:

heya ^^

let's first see what the question says -

so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.

while , rest of the angles have been named [tex] \bold{\theta }[/tex] and this thing clears that all the other angles are of equal measure.

now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.

therefore ,

[tex]\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}[/tex]

therefore ,

option ( D ) θ=150 is correct.

hope helpful :D

Answer:

Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

All trianges have a angle total of 180°.

Assuming the triangles are equals:

72+61+x=180

x=47

Answer:

4m -2m + 3

2m + 3

is the answer

Answer:

Step-by-step explanation:

Solve the problem by combining like terms.

Distribute the terms accordingly.

Distributive property:

⇒ A(B+C)=AB+AC

First, combine like terms.

→ 4m-2m+3

Solve.

Add the numbers from left to right.

→ 4m-2m=2m

Rewrite the problem down.

→ 2m+3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

I hope this helps you! Let me know if my answer is wrong or not.

The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.

Answer: B

Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.

Step-by-step explanation:

a + 156° = 180° ( supplementary angle )

a = 180° - 156°

a = 24°

Answer:

Step-by-step explanation:

(a²-2ab+b²)=(a-b)²

a²+2ab+b²=(a+b)²

i solve b and d

(b)

9x²-36x+36=0

(3x)²+2×3x×-6+(-6)²=(3x-6)²

(d)

a²-b²=(a+b)(a-b)

4x²-81=0

4x²-81=(2x)²-9²=(2x+9)(2x-9)

Answer:

Step-by-step explanation:

if both increases the volume also increase as the same i.e.

twice length and twice radius = twice the volume of wax

The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)

Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.

The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.

Learn more about inequalities at:

https://brainly.com/question/24372553

Answer:

1/9

Step-by-step explanation:

With replacement, we use the principle of multiplication with counting.

[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]

The probability of selecting two red marbles with replacement is 1/9.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).

To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.

Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:

P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)

P(selecting two red marbles with replacement) = (3/9) x (3/9)

P(selecting two red marbles with replacement) = 1/9

Therefore, the probability of selecting two red marbles with replacement is 1/9.

To know more about probability follow

https://brainly.com/question/23947318

#SPJ2

Answer: a= 24 , B is 13

Step-by-step explanation:

A + B = 37

A = B +21

Answer:

56.52 cm

Step-by-step explanation:

Since the circular base has radius of 9 cm. Therefore the base’s circumference is:

[tex]\displaystyle \large{C=2\pi r}[/tex] where r is radius and C is circumference.

Input r = 9 in:

[tex]\displaystyle \large{C=2\pi \cdot 9}\\\displaystyle \large{C=18\pi}[/tex]

Since π is given to be 3.14:

[tex]\displaystyle \large{C=18\cdot 3.14}\\\displaystyle \large{C=56.52}[/tex]

Therefore, the base’s circumference is 56.52 cm

Answer:

Step-by-step explanation:

In this question we have given that radius of circular base of table lamp is 9 cm . And we are asked to find the circumference of base that means we have to find the circumference of circle .

We know that :

[tex]\qquad\underline{\boxed{\frak{{Circumference_{(Circle)} = 2\pi r }}}}[/tex]

Where ,

Solution : -

Now we are finding the circumference of circle by putting value of radius as 9 and value of π as 3.14 in the formula .

[tex] \longrightarrow \qquad \: 2 \times 3.14 \times 9[/tex]

[tex] \longrightarrow \qquad \:6.28 \times 9[/tex]

[tex] \longrightarrow \qquad \: \orange{\underline{\boxed{\frak{56.52 \: cm}}}}[/tex]

Answer:

t=1

Step-by-step explanation:

16-2t=5t+9

step 1 :group like term to the same side

16-9=5t+2t

step 2 : combine

7=7t

step 3: solve for t

t=7/7

t=1

Answer:

4.5 minutes or 36/8 minutes or 9/2 minutes

Step-by-step explanation:

So we simply find 3/8 of 12 by multiplying:

[tex]\frac{3}8} \times 12[/tex]

This gives us 36/ 8

Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.

Hope this helpss!!!

Answer:

The function is even

good luck

Answer:

254.34 in²

Step-by-step explanation:

Assuming that the shape is a circle,

area of circle= πr², where r= radius.

Given that the diameter is 18 in,

radius= diameter ÷2

radius= 18 ÷2

radius= 9 in

Let's substitute r= 9 and use 3.14 as the value of π:

Area of circle

= 3.14(9²)

= 3.14(81)

= 254.34 in²

The volume of the three-dimensional figure formed if the  two-dimensional figure is rotated 360 degrees is 37.70 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the three dimensional shape is:

Volume = volume of cylinder + volume of cone =  (π(2²) * 2) + [(1/3) * π * (2²) * 3] = 37.70 in³

The volume of the three-dimensional figure formed if the  two-dimensional figure is rotated 360 degrees is 37.70 in³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

4

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Step one:

By convention, the dimension of a shape is described as

Lenght first, followed by width

Hence

lenght = 4 in

Width = 6 in

Step two:

Therefore, to achieve a new width of 3 in, the initial width must be divided by 2, which is a 50% reduction.

3/6*100

0.5*100

=50%

Answer:its 75 percent

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

( 3/4+1/3) = 3 × 3/ 4 × 3 + 1 × 4/ 3 × 4 = 9/12 + 4/12 = 9+4/ 12 = 13/ 12 = 1 1/12

13/ 12 - 1/ 4 = 13/ 12 - 1 × 3/ 4 × 3 = 13/ 12 - 3 / 12 = 13 - 3 / 12 = 10 / 12 = 10 ÷ 2 / 12 ÷ 2 = 5/6

13/ 12 - 5/ 6 = 13/ 12 - 5 × 2/ 6 × 2 = 13/ 12 - 10/ 12 = 13 - 10/ 12 = 3/ 12 = 3 ÷ 3/ 12 ÷ 3 = 1/4

Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.

Answer:

2(8-d)

Step-by-step explanation:

Because it says 2 times the difference this means the difference will be multiplied by 2. It also says difference which means that 8 and d must be subtracting

Answer: 15 months

Step-by-step explanation:

Answer:

x=11.5

Step-by-step explanation:

Answer:

Parallel lines 1

perpendicular lines -1

Step-by-step explanation:

2x-2y = -6

Solve for y to get it in slope intercept form

-2y = -2x-6

Divide by -2

y = x+3

This is slope intercept form y = mx+b  where m is the slope

Parallel lines have the same slope

A parallel line would have a slope of 1

Perpendicular lines would have a slope that is a negative reciprocal

-1/1

Perpendicular lines would have a slope of -1

Let us first put it into slope-intercept form ⇒ [tex]y = mx + b[/tex]

To put it into that format, we need to simply put y on one side of the equation and the rest on the other side

    [tex]2x - 2y =-6\\-2y = -2x -6\\y = x +3[/tex]

What do we want to find first ⇒ a line parallel to the original line

          [tex]y = x +5[/tex]

What do we also want to find ⇒ a line perpendicular to the original line

         ⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1

            ⇒ so an example is

                     [tex]y = -x + 3[/tex]

Answer:

Hope that helps!