-3(2x - 9) = 3(16-x)

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle k is 98 degree because angle k and 98 degree are alternate exterior angles and alternate exterior angles are equal.

Answer:

D

Step-by-step explanation:

x/4≥-6

 *4  *4

x≥-24

So it's D.

---

hope it helps

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

[tex]\mathsf{\dfrac{x}{4}\geq-6}[/tex]

[tex]\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{1}{4}x \geq-6}[/tex]

[tex]\large\text{MULTIPLY by 6 to BOTH SIDES}[/tex]

[tex]\mathsf{4\times\dfrac{}{}x \geq 4\times-6}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{4\times\dfrac{1}{4}}\large\text{ because that gives you the value of 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{4\times-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}[/tex]

[tex]\mathsf{4\times-6=\boxed{\bf -24}}[/tex]

[tex]\large\text{So, the number \underline{-24} is being compared to your x-value}[/tex]

[tex]\bullet\large\text{ Your circle is CLOSED and it is shaded to the right side of the}\\\large\text{number}\huge\checkmark\\\\\\\large\textsf{Random fact about the inequality}\uparrow[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf x}\bf \geq\large\textsf{\bf -24 \huge\text{Option D.}}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Part (e)

See the diagram below that mentions this part.

================================================

Part (f)

See the diagram that mentions this part. It's in a separate image.

The item can be anything really. I'm going to add a trampoline which is a square shown in purple. The square is rotated 45 degrees so it looks like a diamond shape. The rotation isn't necessary but I figured to spice things up compared to the other figures which were mostly squares or rectangles. If we split the purple square into 4 triangles, and apply the pythagorean theorem, then we can find the length of each side of the purple square to be roughly 2.828 cm.

Scaling things up, the trampoline in real life is 2*2.828 = 5.656 meters along each dimension.

With any square the angles are always 90 degrees.

Answer:

You asked to solve questions 3 and 5

Since CD = EF,

MN = NP as their perpendicular bisectors are of same length.

Answer:

The radius is 25 cm

A

Step-by-step explanation:

Area =[tex]\pi[/tex]* r^2

Area = 625 * [tex]\pi[/tex]

625 [tex]\pi[/tex] = [tex]\pi[/tex] * r^2                     The [tex]\pi[/tex]s cancel out

r^2 = 625                              Take the square roots of both sides              

sqrt(r^2) = sqrt(625)

r = 25

Answer:

(x +1) (x-1) (x +4) (x-4)

Step-by-step explanation:

The factorization of x^4-17x^2+16 is

(x+1) (x-1) (x+4) (x-4)

Answer:

(x+4)(x-4)(x+1)(x-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4m-10=-2+12

4m=-2+12+10

m=20/4

m=5

Answer: M=7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable.

Answer:

sqrt( 17^2+ 25^2)

Step-by-step explanation:

Since this is a right triangle, we can use Pythagorean theorem

a^2+b^2 = c^2  where a and b are the sides and c is the hypotenuse

Taking the square root of each side

sqrt(a^2+b^2) = QR

sqrt( 17^2+ 25^2) = QR

Answer:

[tex] \small \sf A. \sqrt{25 {}^{2} + 17 {}^{2} } [/tex]

Step-by-step explanation:

Using pythagoras theorem

( Base) ² + ( Perpendicular) ² = (Hypotenuse) ²

( QS)² + ( RS)² = (OR )²

( 25 )² + ( 5 )² = OR²

Taking square root of each side.

[tex] \sqrt{25 {}^{2} + 17 {}^{2} } = \sqrt{OR}[/tex]

[tex] \sqrt{25 {}^{2} + 17 {}^{2} } = {OR}[/tex]

Answer: 9√2

Step-by-step explanation:

The length of each side of the square is 109/25 units.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The length of the diagonal of the square in given figure is 9 units.

Suppose each side of square be x unit.

Apply Pythagoras theorem to obtain length of the side as follows,

x² + x² = 9²

=> 2x² = 81

=> x² = 81/2

=> x = 6.36

       = 636/100

       = 159/25

Hence, the value of x in the simplest radical form is 6.36 units.

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Answer:

J

Step-by-step explanation:

The vertex is where the endpoint of the two rays meet

The vertex is J

Answer:

9g2 - 42g + 49 AC = 9 × 49 = 441 factors = -21, -21

9g2 - 21g - 21g + 49

3g (3g - 7) - 7(3g - 7)

(3g - 7) (3g - 7)

g2 + 2g - 24 AC = 1 × 24 = 24 factors = 6, -4

g2 + 6g - 4g - 24

g (g + 6) - 4(g + 6)

(g + 6) (g - 4)

Answer:

The answer is 28 ft

Step-by-step explanation:

Since two sevenths of the height of a sailboats tallest mast is 8 feet, we keep adding two sevenths until we get its tallest mast.

2/7 = 8 ft

4/7 = 16 ft

6/7 = 24 ft

(Adding 1/7 which is 4 feet)

we get 7/7 = 28 ft

Answer:

[tex]1.8[/tex]

Step-by-step explanation:

Since the time for the pot of water to boil is inversely proportional to the cooker setting, H, as one goes up, the other must go down:

[tex]T\propto \frac{1}{H}[/tex]

Convert 5 minutes to seconds:

[tex]5\cdot 60=300\:\mathrm{s}[/tex]

Therefore, from the initial data given (When H=6, T=90), the new time is [tex]\frac{300}{90}=3\frac{1}{3}[/tex] larger. Therefore, H must be [tex]3\frac{1}{3}[/tex] times smaller for them to be inversely proportional.

[tex]H=\frac{6}{3\frac{1}{3}}=\boxed{1.8}[/tex]

Answer:

A. (3, 4), (-3, 2), (6, 1), (-8, 2)

Step-by-step explanation:

OA. (3, 4), (-3, 2), (6, 1), (-8, 2) - function

OB. (6, 1), (-3, 4), (3, 1), (6,2) - this repeats the x value of 6 to two different y values so it is not a function

OC. (3, 4), (-3, 6), (3, 3), (-8, 2)- this repeats the x value of 3 to two different y values so it is not a function

OD. (3,0), (-3, 3), (6, 1), (-3,5)- this repeats the x value of -3 to two different y values so it is not a function

Step-by-step explanation:

Write what you knkw

all triangles' angles add to 180

180 =x + (106 + 48) solve for x

9514 1404 393

Answer:

  2a(a^3 +a^3 b^2 +a b^2 +b^3)/(a^2 +b^2)

Step-by-step explanation:

Division is the same as multiplication by the inverse. Multiplication and division proceed left-to-right. So, we can rewrite the expression as ...

  [tex]\dfrac{a^3+a^3b^2+ab^2+b^3}{2a(a-b)^2}\times\dfrac{a^2-b^2}{a+2b}\times\dfrac{a^2+ab-2b^2}{a+b}\times\dfrac{4a^2}{a^2+b^2}\\\\=\dfrac{(a^3+a^3b^2+ab^2+b^3)(a-b)(a+b)(a+2b)(a-b)(4a^2)}{2a(a-b)^2(a+2b)(a+b)(a^2+b^2)}\\\\=\dfrac{4a^2}{2a}\cdot\dfrac{(a-b)^2}{(a-b)^2}\cdot\dfrac{a+2b}{a+2b}\cdot\dfrac{a^3+a^3b^2+ab^2+b^3}{a^2+b^2}\\\\=\boxed{\dfrac{2a(a^3+a^3b^2+ab^2+b^3)}{a^2+b^2}}[/tex]

Step-by-step explanation:

since theyre mutliplied you can separate

(125 / 25) x (x^3 / x^4) x (y^5 / y^2)

when you divide exponents, they subtract

Dont be afraid of negative exponents

(125 / 25) x (x^-1 / 1) x ( y^3)

x^-1 = 1/x

solve for 125/25 and put together the fractions

Answer:

[tex]\frac{5y^3}{x^1}[/tex] or [tex]\frac{5y^3}{x}[/tex]

Step-by-step explanation:

125/25 = 5

x³ - x⁴ = x⁻¹

y⁵ - y² = y³

All together; 5x⁻¹y³

Since the answer has to be positive exponents, it would be;

[tex]\frac{5y^3}{x^1}[/tex]

Hope this helps!

Answer:

Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1

Step-by-step explanation:

The answer is A because the axis of symmetry is in between 0 and 1, the vertex lies on 0.5 and -0.75, and the parabola opens down so the coefficient of a is -1, and the y-int or the value of c is -1

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

Further Explanation:

Given:

Calculation:

The standard form of the parabola is shown below.

Here, the parabola has vertex at  and has the symmetry parallel to x-axis and it opens left.

The general form of the parabola can be expressed as follows,

The graph is a downward parabola.

From the graph it has been observed that the vertex of the parabola is

Symmetry of the graph is  

The -intercepts of the graph is  Therefore, the value of is  

The value of  is -1 as the graph is a downward parabola.

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

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2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Conic sections

Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.

Answer:

11,2$

Step-by-step explanation:

28$ — 100%

x$  — 40%

x = 28 · 40/100

11,2$

Answer:

20%

Step-by-step explanation:

[tex]\frac{5}{25} =\frac{1}{5}=0.2=20[/tex]%

Answer:

80% decrease

Step-by-step explanation:

take the difference between the two prices and divide it by the original price, then multiply by 100 (to make it a %)

(25-5) / 25

= 20/25

= .8 x 100

= 80% decrease

Answer:

C. Point

Step-by-step explanation:

a point would just be a dot on a graph and it won't have an exact height or size or shape

Reject the null hypothesis and come to the conclusion that there is enough evidence to imply that the percentage of adults who are familiar with the company's name is much more than 40%.

In order to evaluate whether the percentage of individuals who recognize the company's brand name differs considerably from the company's target of 40%, we must conduct a hypothesis test.

Let p represent the percentage of adults who can name the company's brand. The corporation hopes that more than 40% of adults will recognize its brand name, hence the alternative hypothesis is that p > 0.4.

A one-sample z-test can be used to examine this claim. The test statistic is determined as follows:

[tex]z = \dfrac{(p' - p)} { \sqrt{\dfrac{(p (1 - p)} { n}}}[/tex]

Where p is the null hypothesis value, n is the sample size, and p is the sample proportion.

In this instance, n = 420, p = 0.4, and p' = 181/420 = 0.431. With these values entered into the formula, we obtain:

[tex]z = \dfrac{(0.431 - 0.4)} { \sqrt{(0.4 \times \dfrac{0.6} { 420} }}= 1.65[/tex]

The likelihood of obtaining a z-value of 1.65 or higher is 0.0495 using a basic normal distribution table or calculator (assuming the null hypothesis is true). This is the test's p-value.

When the p-value is less than 0.05, which is considered to be significant (and corresponds to a 95% confidence level), we

Hence, based on this sample of 420 adults, we would advise the company to keep running Super Bowl advertisements as it seems to be succeeding in raising brand recognition among the general public.

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Answer:

Congruent

Step-by-step explanation:

By definition, congruent shapes have equal corresponding side lengths and equal corresponding angle measures, thus are identical. The question clearly states that Joan cut the fabric into two identical pieces with a straight cut through one of the vertices, hence the two triangles are congruent.

Answer:

Congruent word describes each of the two new triangles created by Joan's cut.

Answer:

The smaller number is -9.

Step-by-step explanation:

Let x and y be the two unknown numbers.

Their sum is -5. Hence:

[tex]x+y=-5[/tex]

Their difference is 13. Hence:

[tex]x-y=13[/tex]

This yields a system of equations. We can solve this using elimination. Adding the two equations together:

[tex](x+y)+(x-y)=(-5)+(13)[/tex]

Simplify:

[tex]2x=8[/tex]

Divide both sides by two. Thus:

[tex]x=4[/tex]

Using either equation (I'll use the first):

[tex](4)+y=-5\Rightarrow y=-9[/tex]

So, our two numbers are 4 and -9.

The smaller number is -9.

Answer:

5 1/3 > 5.3

Step-by-step explanation:

1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...

The fraction 5 1/3 is greater than 5.3.

A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.

For the given situation,

The decimal number is 5.3.

The mixed fraction is 5 1/3.

First, convert this fraction to a decimal number to check which is greater.

[tex]5\frac{1}{3}=\frac{16}{3}[/tex]

⇒ [tex]5.33[/tex]

On comparing these two decimals 5.33 and 5.3, we can conclude that    5 1/3 is greater than 5.3.

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Answer:

137

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total number of ways,

⇒ [tex]^{m} C_{k} =[/tex] m! / (m - k)! k!

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

⇒ [tex]^{m} P_{k} =[/tex] m! / (m - k)!

This is called permutation of k items chosen out of m items (all distinct).

Given that:

The considered lock as a 3 number code

There are 15 numbers available.

None of the number can repeat.

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order is,

⇒  [tex]^{m} P_{k} =[/tex] m! / (m - k)!

⇒  [tex]^{15} P_{3} =[/tex] 15! / (15 - 3)!

            = 15! / 12!

            = 2730

Thus, The number of ways we can choose three different numbers in order for a unique code for this case is 2730

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Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

The capacity of tin is 0.17 liter.

Step-by-step explanation:

radius, r = 3 cm

height, h = 6 cm

The capacity of the tin is given by

[tex]V =\pi r^2 h\\\\V =3.14 \times 3\times 3\times 6\\\\V = 169.56 cm^3[/tex]

Now

1000 cubic cm = 1 liter

So, the capacity in liter is

V = 0.169 liter = 0.17 liter

Answer:

The answer is B.

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