Two quadrilaterals are similar. The length of the row longest sides of the first quadrilateral are 40in and 60in. The lengths of the three shortest sides of the second quadrilateral are 5in, 12in, and 16in. Find the unknown lengths of the sides of these two figures .

Answer:

[tex]\large\boxed{x=-2-\sqrt2\ or\ x=-2+\sqrt2}[/tex]

Step-by-step explanation:

[tex]3x^2+12x+6=0\qquad\text{divide both sides by 3}\\\\\dfrac{3x^2}{3}+\dfrac{12x}{3}+\dfrac{6}{3}=\dfrac{0}{3}\\\\x^2+4x+2=0\qquad\text{subtract 2 from both sides}\\\\x^2+4x+2-2=0-2\\\\x^2+4x=-2\\\\x^2+2(x)(2)=-2\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-2+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-2+4\\\\(x+2)^2=2\iff x+2=\pm\sqrt2\qquad\text{subtract 2 from both sides}\\\\x=-2\pm\sqrt2[/tex]

Answer: 113°F

Here you go

Answer:

The answer is 122°F

Step-by-step explanation:

[tex]formula \: (celcius° \times 9 \div 5) + 32[/tex]

F°=(c°×9÷5)+32

F°=(50°×9÷5)+32

F°=(50°×1.8)+32

F°=90+32

F°=122°F

Answer:

The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

Step-by-step explanation:

The quadratic function [tex]h(t) = -4.9t^2 + 22t + 5.5[/tex] represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.

To find h(3), substitute t = 3 into the function expression:

[tex]h(3)=-4.9\cdot 3^2+22\cdot 3+5.5\\ \\=-4.9\cdot 9+66+5.5\\ \\=-44.1+71.5\\ \\=27.4[/tex]

Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

Answer: D because the two longer sides are 7 unites longer, meaning you need to add 14 (7x2) to the final product

Answer:

Option D [tex]4x+14[/tex]

Step-by-step explanation:

Given: The longer sides are 7 units longer than the shorter sides. The shorter side is x.

To find: Write an expression below that represents the perimeter.

Solution: It is given that the shorter side is x.

The longer side is 7 units longer than the shorter side. So, the longer side is [tex]x+7[/tex]

We know that the perimeter of the rectangle is [tex]2(\text{length}+\text{breadth})[/tex]

So, the expression for the perimeter

[tex]=2(x+x+7)[/tex]

[tex]=2(2x+7)[/tex]

[tex]=4x+14[/tex]

Hence, the expression for perimeter is [tex]4x+14[/tex].

So, option D is correct.

Answer:

Step-by-step explanation:

Answer: -79.6°F

Formula

(-62°C × 9/5) + 32 = -79.6°F

Answer:

Step-by-step explanation:

The answer is the -558.9

Solving the nested logarithmic equation log2 [log3 (log4 x)] = 0 requires repeatedly using the concept that y = logb(x) is equivalent to x = by, resulting in x = 64.

To answer your question, we'll need to understand that logarithmic expressions such as log2 [log3 (log4 x)]=0 can be solved by step-by-step process called exponentiation.

First, knowing that y = logb(x) is equivalent to x = by, we can re-write the equation log2 [log3 (log4 x)] = 0 as log3 (log4 x) = 20.

Then, using the concept that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number, move forward to solve log4 x = 31.

Finally, applying the same rule once more gives us x = 43 = 64.

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2|b| = 2

2b= 2

divide by 2 to get b, by itself

2b/2= 2/2

b=1

2|b| =- 2

2b= -2

2b/2= -2/2

b= -1

Answer:

b= 1, b= -1

we'll first off put the two points in component form, then we'll multiply that by the fraction 3/10 and those coordinates we'll simply add to the first point, anyhow, let's proceed,

[tex]\bf \textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{4})~\hspace{8em} \frac{3}{10}\textit{ of the way from }A\to B \\\\[-0.35em] ~\dotfill\\\\ \stackrel{~\hfill \textit{component form of segment AB}}{ (\stackrel{x_2}{9}-\stackrel{x_1}{(-3)}, \stackrel{y_2}{4}-\stackrel{y_1}{(-6)})\implies (9+3~,~4+6)\qquad \implies \qquad (12,10)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{~\hfill \textit{values to be added to Point A coordinates}} {\cfrac{3}{10}(12,10)\implies \cfrac{3}{10}(12)~,~\cfrac{3}{10}(10)\qquad \implies \qquad \left(\frac{18}{5}~,~3\right)} \\\\\\ \stackrel{\textit{addition of Point A coordinates and values}} {A(-3,-6)+\left( \frac{18}{5},3\right)\implies \left( -3+\frac{18}{5}~~,~~-6+3 \right)\qquad \implies \left( \frac{3}{5}~,~-3\right)}[/tex]

Hey there you answer is -26°F  Because, if you subtract -45 from -71 you would get -26 because it is still in the negative's place. Hope this helped! Your fellow Brainly user, GalaxyGamingKitty.

$12870 hope this helps bebe :)

Answer:

1 1/14

Step-by-step explanation:

To divide by a fraction, multiply by the reciprocal of that fraction

5/7 x 12/8

Reduce the fraction with 4

5/7 x 3/2

Multiply the fractions

To multiply the fractions, multiply the numerators and denominators separately

15/14

Alternative form is

1  1/14

Answer: 15/14 or 1 1/14

Step-by-step explanation:

Answer:

6(-62)

Total: -141

Answer:

yes they're congruent.

The given information does not provide specific triangles or measurements needed to determine congruency, making it impossible to answer the question.

The question asks about determining whether pairs of triangles are congruent and identifying the congruence criteria (SSS, SAS, ASA).

Unfortunately, the provided information does not include any pairs of triangles or any specific measurements needed to determine congruency.

Therefore, it is not possible to answer the question based on the given information.

let's firstly convert the mixed fractions to improper fractions.

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} \stackrel{size}{actual~miles}&\stackrel{size}{map~inches}\\ \cline{1-2} 210&\frac{7}{2}\\\\ x&\frac{7}{4} \end{array} \implies \cfrac{210}{x}=\cfrac{~~\frac{7}{2}~~}{\frac{7}{4}}[/tex]

[tex]\bf \cfrac{210}{x}=\cfrac{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \implies \cfrac{210}{x}=2\implies 210=2x\implies \cfrac{210}{2}=x\implies 105=x[/tex]

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

Step-by-step explanation:

Answer:

7.

Step-by-step explanation:

y = 2x^2 - x + 4

The derivative y' = 2*2x^(2-1) - 1

= 4x - 1

At x = 2 y' = 4(2) - 1 = 7.

Answer:

7

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]

Given

y = 2x² - x + 4, then

[tex]\frac{dy}{dx}[/tex] = (2 × 2)x - 1 = 4x - 1

At x = 2 ⇒ [tex]\frac{dy}{dx}[/tex] = (4 × 2) - 1 = 8 - 1 = 7

Answer: the false one is the last one (if a number is an integer, then it is irrational)

Step-by-step explanation:

Answer:

D is the correct answer.

Answer:

[tex]a=3,\text{ then } x\in(-\infty,\infty)\\ \\a\in(-\infty,3),\text{ then }x\in \left[\dfrac{-4a-8}{3-a},\infty\right)\\ \\a\in(3,\infty),\text{ then }x\in \left(-\infty, \dfrac{-4a-8}{3-a}\right][/tex]

Step-by-step explanation:

In the inequality

[tex]3x+8+2ax\ge 3ax-4a\ \ \ (1)[/tex]

a is an arbitrary real number.

Separate the terms with x into left side and the terms without x in the right side:

[tex]3x+2ax-3ax\ge -4a-8\\ \\3x-ax\ge -4a-8\\ \\(3-a)x\ge -4a-8\ \ \ (2)[/tex]

First, look at the leading coefficient at x. If this coefficient is equal to 0 (when [tex]a=3[/tex]), then the inequality is

[tex]0\ge -4a-8\\ \\0\ge -12-8\ [\text{Substituted }a=3]\\ \\0\ge -20[/tex]

This is true inequality for all x, so at [tex]a=3,[/tex] the inequality (1) has the solution [tex]x\in (-\infty,\infty)[/tex]

Now, if the leading coefficient

[tex]3-a>0\\ \\a<3,[/tex]

then we can divide the inequality (2) by this positive number [tex]3-a[/tex] and get

[tex]x\ge \dfrac{-4a-8}{3-a}[/tex]

If the leading coefficient

[tex]3-a<0\\ \\a>3,[/tex]

then we can divide the inequality (2) by this negative number [tex]3-a[/tex] and get

[tex]x\le \dfrac{-4a-8}{3-a}[/tex]

So, the answer is

[tex]a=3,\text{ then } x\in(-\infty,\infty)\\ \\a\in(-\infty,3),\text{ then }x\in \left[\dfrac{-4a-8}{3-a},\infty\right)\\ \\a\in(3,\infty),\text{ then }x\in \left(-\infty, \dfrac{-4a-8}{3-a}\right][/tex]

1 cm is approximately 0.394 inches which is the fraction of an inch for 1 cm. This can be discovered by inverting the known relation (1 in = 2.54 cm) or by using dimensional analysis method.

The subject of your question concerns the conversion between the units of length, centimeters and inches. In measurement, it is known that 1 inch is equal to 2.54 centimeters. However, you asked what fraction of an inch is 1 centimeter. To find this, we need to invert the relation we know. Thus, 1 cm = 1/2.54 inches.

For a clearer understanding, 2.54 cm is exactly 1 inch (by definition). To find the fractional value of 1 cm in inches, we simply take the reciprocal (invert) of 2.54, because we are essentially asking the question, 'How many cm are there in 1 inch?'. This yields about 0.394, and thus 1 cm = 0.394 inch approximately.

Another method to understand this conversion is dimensional analysis. It tells us that we're able to convert one unit to another as long as the units are in the same dimension (in this case, length). So based on the relation 1 inch = 2.54 cm, we establish the conversion factor of 1/2.54 = 0.394 inch/cm. So 1 cm * 0.394 inch/cm gives us 0.394 inch.

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Answer:

all work is pictured/shown

Answer:

3 with a remaider of 2

Step-by-step explanation:

10+8=18 5/18=3 with a remainder of 2

5x/8+10=2

-10 each side of the equation

5x/8=-8

multiply each side by 8

5x=-64

divide each side by 5

And then you have your answer x=12 4/5

Answer:

Julie

Step-by-step explanation:

She days she lives farther than Joseph and Joseph lives father than dalton

Answer:

Julie

Step-by-step explanation:

Joseph lives farther from the library than David and Dalton.

We are not sure who is closer to the library, David or Dalton, but Joseph is farther than both.

Joseph                         David          Dalton            Library

or

Joseph                         Dalton          David            Library

Julie lives farther from the library than Joseph, and David lives farther from the library than Dalton. Now we know where David and Dalton go in the figure.

Julie                 Joseph                         David          Dalton            Library

The farthest person from the library is Julie.

Answer: Julie

Answer: -0.85

Step-by-step explanation: a = score-mean/ standard deviation

Mean (add them all up and divide by amount) = 18.8745

Standard deviation =

σ2 = Σ(xi - μ)2/N

= 5.333458985499

SCORE = 14.23

= -0.85

The natural numbers for which x/8 is a proper fraction and x/4 is an improper fraction are 4, 5, 6, and 7.

Firstly, let's understand what proper and improper fractions are. A proper fraction is a fraction whose numerator is less than the denominator, and an improper fraction is a fraction whose numerator is equal to or greater than the denominator.

Given that x/8 is a proper fraction and x/4 is an improper fraction, we are looking for a number that is less than 8 (for the proper fraction) and equal to or greater than 4 (for the improper fraction). These restrictions on x mean that x must be in the range 4 ≤ x < 8.

When we consider that x should be a natural number, the only numbers that meet this criterion are 4, 5, 6, and 7. Hence, these are the natural values of x for which x/8 is a proper fraction and x/4 is an improper fraction.

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Final answer:

The values of x that meet both conditions are 5, 6, and 7.

Explanation:

In order to find natural values for x where x/8 is a proper fraction and x/4 is an improper fraction, we must first understand what proper and improper fractions are. A proper fraction is one where the numerator is less than the denominator, whereas an improper fraction has a numerator larger than or equal to the denominator. Given that x/8 must be a proper fraction, x must be less than 8. For x/4 to be an improper fraction, x must be greater than or equal to 4. Therefore, to satisfy both conditions simultaneously, x must fall within the range of 5, 6, or 7. This is because these are the only natural numbers less than 8 and greater than 4.

Answer:D

Step-by-step explanation:1 divied by 16 =16

4 divied by 64 = 16

Answer:

1188 divided by 12 is 99

Answer:

this is a hard one

Step-by-step explanation:

Answer:

I can help :)

My sc is softgurlshere

Answer:

3 is your answer

Step-by-step explanation:

What you do is PEMDAS

7 + 3 + (-7) You will add 7 and 3 together first.

10 + (-7) You will subtract 10 and -7

3 is your answer.

Answer: 3/4 (8x + 16) simplified expression is 6x + 12

                2x - 5x + 5 - 4 simplified expression is -3x + 1

                 x + x + x +3 + 5 - 2 simplified expression is 3x + 6

               6x - 7 + 3x + 5 simplified expression is 9x  - 2

                3 + 2(2x + 5) simplified expression is 4x + 13

Step-by-step explanation:

3/4 (8x + 16) in the example the 3 is multiplying and the 4 is dividing,

so you can start with multiplication, multiply the 3 for each value into the parenthesis after that you can place 4 as the divisor of this equation

(3 * 8x + 3 * 16) / 4

after we perform this equation the product is the following

(24x + 48) / 4

after this step you can divide the each value into the parenthesis between 4, this process give us separate equations.

(24x/ 4) + (48/4)

if you proceed with the division of each value we will find the last equation.

(24x/ 4) = 6x

(48/4) = 12

then the simplified expression is 6x + 12.

2x - 5x + 5 - 4, with this case you can resolve the equation with the similar values, for example, you can start with the values that has the x, and after that proceed with the simple values.

2x - 5x = -3x

5 - 4 = 1

after we resolve this, you only need placed the values with its sign in one equation then the simplified expression is  -3x + 1.

x + x + x +3 + 5 - 2, in this example you can start with the sum of x, and after that proceed with sum of the simple values.

x + x + x = 3x

3 + 5 - 2 = 6

after that we place the values in one expression , then the simplified expression is 3x + 6.

6x - 7 + 3x + 5, in this equation we can star with the similar values, the values with x and after that the simple values

6x + 3x = 9x

-7 + 5 = -2 ( as the 7 is bigger than 5 the result get value of the biggest number.

after you only need to place the values in one equation, then the simplified expression is 9x - 2.

3 + 2(2x + 5), with this example you can start with the product of 2 with the values into the parenthesis.

2 * (2x + 5) the 2 is passing to multiply each value into the parenthesis.

2 * 2x + 2 * 5

4x + 10

after that we can place the result of this product in the first equation

3 + 4x + 10

after that you only need to sum the similar values and we get that the simplified expression is 13 + 4x

Final answer:

Explanation of matching simplified expressions to problems in a math question that is option D is correct

Explanation:

Match the simplified expression with the correct problem:

3/4(8x + 16) matches with 6x - 7 + 3x + 5

2x - 5x + 5 - 4 matches with x + x + x + 3 + 5 - 2

x + x + x + 3 + 5 - 2 matches with 3 + 2(2x + 5)