The length of a photo is 14 inches, which is 3 inches longer than its width. Write an equation that gives the photo's width (w) in inches. i need this asap!

Answer: domain is all real numbers and range is all real numbers greater than or equal to -2

Step-by-step explanation:

Answer:HL

Step-by-step explanation:

By B. HL (hypotenuse and one of the leg) theorem we can conclude that DHF = EHG

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know the longest side of a right-angled triangle, known as the hypotenuse is always in opposition to the right angle.

According to the hypotenuse leg(HL) theorem, two right triangles are congruent if the hypotenuse and one leg of one right triangle coincide with the hypotenuse and leg side of the second right triangle.

In the given diagram DF ≅ EG and DH ≅ EH then according to HL congruency theorem DHF = EHG

learn more about congruency here :

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Answer: #1  A=9    #2  Naomi started with 6 bushels

Step-by-step explanation:

4A-1 = 3A + 8   Subtract 3A from both sides  4A -3A -1 = 3A-3A + 8 to get

A -1 = 8    Add 1 to both sides   A -1 + 1  = 8 + 1 to get

A = 9 .   Check by substituting 9 in place of A

4(9) - 1 = 3(9) + 8   multiply: 4×9 = 36 . 3×9=27

36 -1  =  27 + 8     do the subtraction and addition

35 = 35 .True.  

Part 2:   The original number plus 5 equals 11

B + 5 =  11 .  . Subtract  5 from both sides

B +5 -5 = 11 -5

B = 6

Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.

Answer:

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)

Q + S - T = 7m + 3n + n + 5 + m + 3n - 8

Q + S - T = 8m + 7n - 3

Answer:

Step-by-step explanation:

Let the number be x

5/9 of the number is 90

Which is

5/9 of x = 90

5/9 × x = 90

5/9x = 90

Multiply through by 9

That's

5x = 810

Divide both sides by 5

5x/5 = 810/5

x = 162

Therefore the number is 162

Hope this helps you

Answer:

B

the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd

Answer:

its B

Step-by-step explanation:

Answer:

x = 31

Step-by-step explanation:

[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

Answer:

p = 3

Step-by-step explanation:

We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.

We know both legs are equal because we have identical opposite angles in this right rectangle.

If we apply the Pythagorean theorem, we obtain:

[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-7)

Answer:

x = 27

Step-by-step explanation:

Step 1: Write out equation

54 + 6x = 216

Step 2: Solve for x

6x = 162

x = 27

Answer:

x=27

Step-by-step explanation:

54+6x=216

Collect like terms:

6x=216-54

6x=162

Divide both sides by the coefficient of x

6x\6=162\6

x=27

Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

Answer:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find y

y = 8

Answer:

36°.

Step-by-step explanation:

According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.

m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.

(8x + 16) + (6x - 60) = 180

8x + 6x + 16 - 60 = 180

14x - 44 = 180

14x = 224

x = 16

m∠ABC = 6x - 60

6 * 16 - 60 = 96 - 60 = 36

So, m∠ABC = 36°

Hope this helps!

Answer:

36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180

14x = 224

x = 16

m<ABC = 6x-60

m<ABC = 96-60

m<ABC = 36

Answer:

4028.5

Step-by-step explanation:

V=4000+4.75 (6)

V= 4000+28.5

V=4028.5

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Answer: Hope this helps <3

Step-by-step explanation:

[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

The equation 2(x + 4) - 1 = 2x + 7 has infinite solutions

The equation is given as:

2(x + 4) - 1 = 2x + 7

Open the bracket

2x + 8 - 1 = 2x + 7

Evaluate the difference

2x + 7 = 2x + 7

Both sides of the equation are the same.

Hence, the equation has infinite solutions

Read more about equation solutions at:

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Answer:

The journal entry to record bad debt expense should be:

December 31, 2019, bad debt expense

Dr Bad debt expense 9,000

    Cr Allowance for doubtful accounts 9,000

Net account receivables = $350,000 - $9,000 = $341,000

The allowance for doubtful accounts is a contra asset account that decreases the balance of accounts receivable (balance sheet). Bad debt expense is included in the income expenses and decreases total sales.

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Assign the largest value to 'c'

If a² + b² = c² , then it is right triangle

If a² + b² > c², then it si acute triangle

If a² + b² < c² , then it is obtuse triangle

Here, a = 9 , b = 12 & c = 18

a² + b² = 9² + 12²

           = 81 + 144

a² + b² = 225

c² = 18²

c² = 324

a² + b² < c²

225 < 324

So, 9, 12 , 18 form a obtuse triangle

Answer:

The discriminant equals to 0

Step-by-step explanation:

We have to remember our discriminant rules;

d > 0, we have 2 real roots

d = 0, we have 1 real root

d < 0, we have 2 complex roots

Answer:

The events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 -----  25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of  being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

[tex]P(S) = 100/125 = 0.8[/tex]

P(Logo A) = Total that prefers Logo A / Total Population

[tex]P(Logo\ A) = 78/125 =0.624[/tex]

P(S n Logo A) = Number of students that prefer logo A /  Total Population

[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]

If the events are independent, then the following condition must be satisfied

[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

[tex]0.536 = 0.8 * 0.536[/tex]

[tex]0.536 \neq 0.4288[/tex]

Since they are not equal, then the events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Answer: b

Step-by-step explanation: just took the quiz

Answer:

The correct answer is

D) 66.35

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

So in shorthand notation:

sin = o/h   cos = a/h   tan = o/a

Often remembered by: soh cah toa

Answer:

C

Step-by-step explanation:

BC is the opposite of angle 54, adi is AC=39

tan54=opp/adj.

BC=AC(tan54)

BC=39(1.376)=53.6789 close to 53.68

Answer: 1/11

Step-by-step explanation:

Let x be no. of yellow cubes.

Blue = 2x

Green = 4 x 2x = 8x

Total cubes = x + 2x + 8x = 11x

P(yellow) = x / 11x = 1/11

Answer:

It is a reflection over the y-axis (D)

Step-by-step explanation:

Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.

Answer:

reflection over y axis

Step-by-step explanation:

did it on usatestprep and made a 100

Answer:

2.1

Step-by-step explanation:

Length of the segment BC can be obtained by using cosine law.

cos A =(b^2 + c^2 - a^2) /2bc

cos 20° = (5^2 +6^2 - a^2) /(2*5*6)

0.9396926208 = (25 + 36 - a^2) /60

0.9396926208 * 60 = 61 - a^2

56.3815572 = 61 - a^2

a^2 = 61 - 56.3815572

a^2 = 4.6184428

a = 2.14905626

a = 2.1 units

Hence, lenght of BC = 2.1 units.

Answer:

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

Answer:

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Step-by-step explanation:

Carlos graphed the set of points that are equidistant from both point A and point B.

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Answer:

Please find attached the graph of the following function;

[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]

Let the question mark be represented by x.

We then have:

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]

We conclude that there are 72 fluid ounces in 9 cups.

Answer:

B

Step-by-step explanation:

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

Answer:

$36.25+$3.89x≤$58.50

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so  the answer would be $58.50.