If the red square has an area of 200 square centimeters and the green square has an area of 60 square centimeters, then was is the area of the yellow square?

Answer:

y = 8x - 55

Step-by-step explanation:

Given

Point (x1,y1) = (7,1)

Slope, m = 8

Required

Determine the equation of the line

The question asks that the equation to be in form: y = mx + b

This above form is a representation of point-slope and is calculated using the following formula:

y - y1 = m(x - x1)

Substitute values for y1, x1 and m

y - 1 = 8(x - 7)

Open bracket

y - 1 = 8x - 56

Collect Like Terms

y = 8x - 56 + 1

y = 8x - 55

Hence, the calculated line equation in form of y = mx + b is y = 8x - 55

Answer:

the answer should be 76.8 ounces

Step-by-step explanation:

The number of ounces of cereal will the extra-large box contains should be 76.8 ounces.

Since

The company makes a single serving cereal box that contains 1.2 ounces of cereal.

The extra-large box will be a dilation of the single-serving box using a scale factor of 4.

So, here the no of ounces should be

[tex]= 4\times 4\times \times 4 \times 1.2[/tex]

= 76.8 ounces

Learn more about ounces here: https://brainly.com/question/2656723

Answer:

x=3.75

Step-by-step explanation:

15x - 45= 3x

Subtract 15x from both sides:

-45 = -12x

Divide both sides by -12, the -12's cancel and you get:

-45/-12 = 3.75

x= 3.75

I hope this helps!! blessings, xx,nm! :)

[tex]15x-45=3x[/tex]

[tex]15x-3x =45[/tex]

[tex]12x=45[/tex]

[tex]x = \frac{15}{4} [/tex]

or

[tex]x = 3.75[/tex]

Answer:

where a line crosses the y-axis.

(0,18) and/or (0, 54)

Step-by-step explanation:

The ordered pair (0, 0) and (1, 5) has slope 5 as the equation y = 5x thus option (d) is correct.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The linear equation is given as, y = mx + c here m is the slope.

By comparing y = 5x. slope m = 5.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of (0, 0) and (1, 5) = (5 - 0)/(1 - 0) = 5

So they have the same slope.

Hence "The slope of the pair (0, 0) and (1, 5) is 5 since y = 5x".

To learn more about slopes,

https://brainly.com/question/3605446

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Answer:

(A) and (B)

Step-by-step explanation:

The inverse property of Logarithms is

㏒a[tex](a^x)[/tex] = x or a^loga(x) = x

Using this property we check each option

(A) Log2(2^4) = 4          correct

(B) 2^log2(4) = 4           correct

(C) 2^log 4(2)[tex]\neq[/tex] 4           incorrect ( it equal to [tex]\sqrt{2}[/tex])

(D) log2(4^2)  [tex]\neq[/tex] 2          incorrect  ( it is equal to 4)

(E)  2^log4(4) [tex]\neq[/tex] 4           incorrect ( it is equal to 2)

F) 4^log2(4)[tex]\neq[/tex]4               incorrect ( it is equal to 16)

Answer:

18.0277563773 yards

Step-by-step explanation:

Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]10^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]

100 + 225 = [tex]c^{2}[/tex]

325 = [tex]c^{2}[/tex]

[tex]\sqrt{325}[/tex] = [tex]\sqrt{c^{2} }[/tex]

8.0277563773 = c

Answer:

30

Step-by-step explanation:

We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:

180=102+48+m

180=150+m

30=m

Answer:

A. 30 degrees

Step-by-step explanation:

They are similar aka the same or congruent and since you know all three angles you just match them up.

Answer:

SSS

Step-by-step explanation:

Because 3 sides are identical, its the side-side-side theorem or SSS

Answer:

.

Step-by-step explanation:

Problem 1

Answer: B)  -15

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

Explanation:

Draw out a number line with -7 on it. Stuff to the left of this value are smaller than -7. Stuff to the left would be -8, -9, ... and -15 is part of that list.

So -15 is smaller than -7.

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

Problem 2

Answer:  Choice A) closed circle at 2 and shading to the right

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

Explanation:

Let's solve for h

[tex]-5h+3 \le -7\\\\-5h \le -7-3\\\\-5h \le -10\\\\h \ge \frac{-10}{-5}\\\\h \ge 2\\\\[/tex]

The inequality sign flips because we divided both sides by a negative value.

The solution set is the set of h values such that h = 2 or h > 2. In short, h can be 2 or larger.

Visually this will be a graph with a closed circle at 2 and shading to the right. The closed circle tells the reader "include the endpoint". This describes graph A.

Answer:

no a parallelogram doesn't have all equal sides but a square does

Step-by-step explanation:

Initial amount, [tex]A_o=150\ g[/tex] .

Final amount, [tex]A =10\ g[/tex] .

Time taken, t = 6:00 - 2:00 = 4 hour.

We know,

[tex]A=A_o(\dfrac{1}{2})^{\dfrac{t}{h}}\\\\10 = 150 \times \dfrac{1}{2}^{\dfrac{4}{h}}\\\\2^{\dfrac{4}{h}}=15\\\\\dfrac{4}{h}= log_215\\\\h = \dfrac{4}{log_215}\\\\h = 1.024 \ hours[/tex]

Therefore, the half-life of the isotope is 1.024 hours.

Hence, this is the required solution.

Answer:

B

Step-by-step explanation:

To solve this equation you use the y=mx+b format

Considering that the graph starts at 40 (b) and increase 10 every time that means that the m is 10

Sorry that probably made no sense

Answer:

The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Step-by-step explanation:

We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​.

There are 9 letters in the word WONDERFUL

There is a condition that letter R is always next to E.

So, We have two letters fixed WONDFUL (ER)

We will apply Permutations to find ways of arrangements.

The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways

The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways

The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways

So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Answer:

4/3 is that correct if not msg me and I’ll help you with the next problem

Step-by-step explanation:

Answer:

slope is 3/4

Step-by-step explanation:

rise over run

Answer:

f(d) = 2900 - 20d

Step-by-step explanation:

We start with 2,900 and each week 20 is deducted from the account.

f(d) = 2900 - 20d

Answer:

domain: (3, 4, 5, 6)

range: (2.1, 2.7, 3.1, 4.1, 5.1)

Step-by-step explanation:

domain is the x value

range is the y value

you do not write the same number twice

write the domain and range in alphabetical order

Answer:

The 2nd box lot shows the class data. Also, the illustrated box plot with these marks is also shown in the attached figure.

Step-by-step explanation:

Given the box plot which shows the class data, we can indicate that,

So, the 2nd box lot shows the class data.

Because,

So, the illustrated box plot with these marks is also shown in the attached figure.

Answer:

The 2nd box plot is correct

Step-by-step explanation:

Got it right on IM

Answer:

-20

Step-by-step explanation:

It is like the opposite number. Because 20 is positive its inverse is negative 20.

HOPE THIS HELPED

Answer: C

Step-by-step explanation:

Just did it

Answer:

c

Step-by-step explanation:

(x+25)(3+2x)-(x+4)(x+1)

=(3x+2x²+75+50x)-(x²+4x+x+4)

=(2x²+53x+75)-(x²+5x+4)

=2x²+53x+75-x²-5x-4

=x²+48x+71

Answer:

(4, -2) should be the correct answer.

Answer:

umm.. I think its bot#7 the pink one?

E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.

When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.

Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.

From the reflective property, we can say EB = EB

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

Using these three facts

to prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to

angle BEA = angle EBC

we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.

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

In summary, we have proven:

By the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.

Answer:

When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.

Step-by-step explanation: