The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate plane graph is shown. Grants house is located at negative 4 comma 3. Hannahs house is located at 1 comma 3. Isobels house is located at 1 comma negative 4. If Grant walks from his house to Isobel's house, then on to Hannah's house along the path shown, how far will he have walked in blocks? Round your answer to the nearest tenth.
Answers
5^2 + 7^2 = c^2
25 + 49 = c^2
74 = c^2
sqrt 74 = c
8.6 = c
so grant's to Isabelle's is 8.6 blocks, then from there to hannah's house, which is 7 blocks....so he walks a total of 8.6 + 7 = 15.6 blocks
The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given coordinate has been drawn in the graph below,
The locus of the path from Grant's house to Isobel's house and then Hannah's house is making a right-angle triangle.
By Pythagoras' theorem,
Distance from Grant's house to Isobel's house ⇒
√(4² + 7²) = 8.06
The distance from Isobel's house to Hannah's house ⇒ 3 + | -4| = 7
Therefore, 8.06 + 7 = 15.06.
Hence "The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06".
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Related Questions
70 decreased by twice a number
Use The variable n to represent the unknown number
Answers
The required expression of the given statement is 70-2n.
Given that,
To determine the expression for the given statement 70 decreased by twice a number.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the number be n,
According to the question,
Number = n
70 decreased by twice the number,
So
= 70 - 2n
Thus, the required expression of the given statement is 70-2n.
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Use the diagram of the right triangle above and round your answer to the nearest hundredth. If measure B= 60 degrees and a = 10 meters, find b.
Answers
Answer: A. 17.32m
Step-by-step explanation:
Just took edge test
Answer:A
Step-by-step explanation:
Help with math!!!!!!
Answers
Look at the piecewise function to see where x = -1.5 would fit in. For this particular function, it fits in with the first piece where it says [tex]-2.5 \ \textless \ x \le -1.5 [/tex] The rule there is simply a "-2" meaning that whatever teh input is for that piece, the output is -2
Therefore, f(-1.5) = -2
----------------------------------------------------------------
The next answer is f(0.1) = 0
The reason why is because 0.1 fits in with the third piece. The value 0.1 is between -0.5 and 0.5
----------------------------------------------------------------
Finally, x = 0.5 makes the last inequality restriction true. So therefore, f(0.5) = 1
----------------------------------------------------------------
The three answers are
-2, 0, 1
in that exact order
a line perpendicular to a plane, would intersect the plane at one what
Answers
A line perpendicular to a plane, would intersect the plane at one point.
Perpendicular linesWhen a line is perpendicular directly away from the plane, the line will tend to intersect the plane at one points or single points.
The reason why the line intersect the plane is because the line cannot point to other places except directly away from the plane.
Therefore a line perpendicular to a plane, would intersect the plane at one point.
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If the solution to 4 - 2x > x + 16 is x < a, what is the value of a?
A) 6
B) 4
C) 2
D) -4
E) -6
Answers
B)4
I believe 4 is the answer If i was wrong can I at least get a thanks.
Write “$4,915 for 72 shares of stock” as a unit rate. Round to the nearest hundredth if necessary.
Answers
divide
4915/72 = 68.2638
so $68.26 per stock is the unit rate
Find the value of angle M
Answers
opposite angels = 180
so 6m+13 +4m+7 =180
combine like terms
10m+20=180
10m =160
m=160/10 = 16
Angle M = 6m = 6(16) = 96 degrees
An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inches, of the circle? Express your answer as a mixed number.
Answers
To find the radius of the circle inscribed in the isosceles triangle, we can use the formula for the inradius of a triangle. The inradius is given by the formula: inradius = (area of the triangle) / (semiperimeter of the triangle). First, we need to find the area and semiperimeter of the triangle. Then, we can calculate the inradius and find the radius of the circle.
Explanation:To find the radius of the circle inscribed in the isosceles triangle, we can use the formula for the inradius of a triangle. The inradius is given by the formula:
inradius = (area of the triangle) / (semiperimeter of the triangle)
First, we need to find the area of the triangle. Since it is an isosceles triangle with equal sides of 5 inches, we can split it into two congruent right triangles. The height of each right triangle can be found using the Pythagorean theorem:
height = sqrt(5^2 - (6/2)^2) = sqrt(25 - 9) = sqrt(16) = 4 inches
Now, we can find the area of the triangle:
area = (1/2) * base * height = (1/2) * 6 * 4 = 12 square inches
Next, we need to find the semiperimeter of the triangle:
semiperimeter = (5 + 5 + 6) / 2 = 16 inches
Finally, we can calculate the inradius:
inradius = 12 / 16 = 3/4 inches
Therefore, the radius of the circle is 3/4 inches.
Ryan spent $3.25 on lunch every day, Monday through Friday. If he had $20 at the start of the week, how much money will he have left after Friday?
Answers
it's pretty simple you multiply $3.25 times the amount of days he spent the money so 5 which gives you $16.25 then subtract that out of $20 and you'll have $3.75 (:
The amount of money left after Friday is $3.75.
What is unitary method?The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money spent for the lunch every day is $3.25.
Total amount of money Ryan have is $20.
Now, number of total days from Monday to Friday is 5.
So,
The amount spent for lunch for 5 days by Ryan
= 5 × $ 3.25 = $16.25 (by unitary method)
Therefore,
The amount of money left after Friday
[tex]\$20 - \$16.25\\= \$3.75[/tex]
Hence, the amount of money left after Friday is $3.75.
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Solve for 4/x+2 = 2/x x and determine if the solution is extraneous or not.
x = −2, extraneous
x = −2, non-extraneous
x = 2, extraneous
x = 2, non-extraneous
Answers
The given equation is:
4/(x + 2) = 2/x
First we get the value of x by doing cross multiplication so that all variables are in the numerator side:
4 x = 2 (x + 2)
4 x = 2 x + 4
2 x = 4
x = 2
An extraneous solution is one in which if we plug in the value of x back into the equation, the resulting values would be wrong.
Plug x = 2 back into the original equation:
4 / (2 + 2) = 2 / 2
4 / 4 = 2 / 2
1 = 1 (TRUE!)
Since the value of x = 2 satisfies the equation, then the solution is non-extraneous.
Answer:
x = 2, non-extraneous
Factor the expression.
Answers
The values should add to the b value and multiply to the c value.
Check:
2+1=3
2*1=2
What is the equation of the graph below?
A graph shows a parabola that opens up and does not cross the x axis. The axis of symmetry is x equal negative 2. The parabola crosses through the points negative 1, 4 and negative 3, 4.
y = − (x − 2)2 + 3
y = (x + 2)2 + 3
y = − (x + 3)2 + 2
y = (x − 3)2 + 2
Answers
This one never crosses the x axis (The last one neither). This one has the vertex in x=-2 (the last one in x=3). Moreover, x=-1, gives (-1+2)^2+3 = 4, and same for x=-3.
Option # 2
y = (x + 2)^2 + 3
(-1, 4)
(-3, 4)
y = (-1 + 2)^2 + 3
y = (1)^2 + 3
y = 1 + 3
y = 4 checks
y = (-3 + 2)^2 + 3
y = (-1)^2 + 3
y = 1 + 3
y = 4 checks
Options # 2 is the answer
30 POINTS!!!!!!!
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 99m long and 72m wide.
Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
99 * 72 = 7128
3.14 * (72/2)^2
3.14 * 36^2
3.14 * 1296
4069.44
7128 + 4069.44 = 11197.44
Answer:
1273 hola aaaaa oigan busco novia
Use the remainder theorem and the factor theorem to determine whether (b+4) is a factor of (b^3+3b^2-b + 12)
Answers
b=-4
then put it in polynomial and if the answer was 0, then b+4 is its factor
-64+48+4+12=0
Given that WXYZ is a rhombus, find the value of x. A. 15 B. 20 C. 30 D. 45
Answers
In this problem, we are given the equations of the two sides of a rhombus.
Equation 1 is 4 x – 10
Equation 2 is 2 x + 20
Since the given shape is a rhombus, therefore the two sides have equal sides. Hence, we can simply equate equation 1 and equation 2:
4 x – 10 = 2 x + 20
2 x = 30
x = 15
Therefore the answer is:
A. 15
4 x – 10 = 2 x + 20
2 x = 30
x = 15
The area of a book cover is 63.8 in². The width of the book is the difference of the length and 3 inches. Let x represent the book's length. Which quadratic equation represents the area of the book cover?
x(x - 3) = 63.8
x(3 - x) = 63.8
2x - 3 = 63.8
x + x - 3 = 63.8
Answers
The area of the triangle is rectangle is calculated by multiplying the length, x, and the width, which was derived to be x - 3.
Area = Length x width
Area = (x)( x - 3)
Putting in the value of the area, we have the final answer as,
x(x - 3) = 63.8 in²
Hence, the final answer is the first answer.
The correct quadratic equation representing the area of the book cover is [tex]\( x(x - 3) = 63.8 \)[/tex].
To understand why this is the correct equation, let's break down the information given in the question:
1. The area of the book cover is given as 63.8 square inches.
2. The width of the book is the difference between the length and 3 inches. If we let [tex]\( x \)[/tex] represent the length of the book, then the width can be represented as [tex]\( x - 3 \)[/tex].
3. The area of a rectangle (which is the shape of the book cover) is calculated by multiplying its length by its width.
Using the information above, we can set up the equation for the area of the book cover as follows:
[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]
[tex]\[ 63.8 = x \times (x - 3) \][/tex]
Expanding the right side of the equation, we get:
[tex]\[ 63.8 = x^2 - 3x \][/tex]
This is a quadratic equation in standard form. The other options given do not correctly represent the relationship between the length, width, and area of the book cover:
[tex]- \( x(3 - x) = 63.8 \)[/tex] incorrectly represents the width as [tex]\( 3 - x \)[/tex] instead of [tex]\( x - 3 \)[/tex].
[tex]- \( 2x - 3 = 63.8 \)[/tex] is a linear equation, not a quadratic one, and does not represent the area calculation.
[tex]- \( x + x - 3 = 63.8 \)[/tex] simplifies to [tex]\( 2x - 3 = 63.8 \)[/tex], which is also a linear equation and does not represent the area calculation.
The function f(x) = 5x is an exponential function true or false
Answers
The sum of three consecutive odd integers is 18 less than 5 times the middle number. Find the 3 integers. Use an algebraic solution
Answers
X +(x+2) + (x+4) = 5(x+2)-18
3x+6 = 5x+10-18
3x+6 = 5x-8
3x=5x-14
-2x=-14
x=7
(x+2) =9
(x+4) =11
7 + 9+ 11 =27
5(9)-18 =45-18 =27
3 numbers are 7, 9 & 11
A man can run a mile in 4 minutes. calculate his average speed in kilometers per hour. show your work. (1 mile = 1.61 km)
Answers
1 mile =1.61km
60 minutes per hour
60/4 = 15 ( he can run 15 miles in one hour)
15 x 1.61 = 24.15 km per hour
round your answer if needed
The man's average speed in kilometers per hour is calculated by first converting the distance the man runs to kilometers, based on the 1 mile equals 1.61 kilometers conversion factor, and then converting time to hours, based on the 60 minutes in 1 hour conversion factor. The calculated speed is approximately 24.04 kilometers per hour.
Explanation:The man runs a mile in 4 minutes. Given that 1 mile equals 1.61 kilometers, we can first change the distance the man runs into kilometers: 1 mile * 1.61 km/mile = 1.61 km. Thus, the man's speed is 1.61 km per 4 minutes.
To convert this speed into kilometers per hour, we need to convert the time from minutes to hours. We know that 1 hour is equivalent to 60 minutes, so 4 minutes is equivalent to 4/60 = 0.067 hours. Therefore, the man's average speed in kilometers per hour is 1.61 km divided by 0.067 hours, which equals about 24.04 km/hr.
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A store sells two sizes of fresh wreaths. an? 18-inch wreath costs ?$1515?, and a? 22-inch wreath costs ?$3535. in one? day, the number of? 22-inch wreaths sold was fourfour more than twicetwice the number of? 18-inch wreaths, for a total of ?$820820. how many of each were? sold
Answers
15x + 35y = 820
y = 2x + 4
15x + 35(2x + 4) = 820
15x + 70x + 140 = 820
15x + 70x = 820 - 140
85x = 680
x = 680/85
x = 8 <== 8 eighteen inch wreaths were sold
y = 2x + 4
y = 2(8) + 4
y = 16 + 4
y = 20 <== 20 twenty-two inch wreaths were sold
The number of 18 inches of wreaths sold was 9 while 22 inches were 51.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say a number of 18 inches of wreaths is x while 12 inches is y.
Given that,
In one day, the number of 22-inch wreaths sold was six more than five times the number of 18-inch wreaths.
So,
y = 5x + 6
And
Total amount
15x + 35y = 1920
⇒ 3x + 7y = 384
By substitution,
3x + 7(5x + 6) = 384
38x = 342
x = 9
So y = 5(9) + 6 = 51
Hence "The number of 18 inches of wreaths sold was 9 while 22 inches were 51".
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The given question is incorrect, the correct question is ;
A store sells two sizes of fresh wreaths. An 18-inch wreath costs $15, and a 22-inch wreath costs $35. In one day, the number of 22-inch wreaths sold was six more than five times the number of 18-inch wreaths, for a total of $1920. How many of each were sold? .... The number of 18-inch wreaths sold was and the number of 22-inch wreaths sold was
If GH is the angle bisector of FGI, which statement about the angle is true
Answers
The angle bisector of a given angle divides it into two equal parts. If GH is the angle bisector of FGI, angle FGH and angle HGI will be equal.
Explanation:If GH is the angle bisector of FGI, it means that it splits the angle FGI into two equal parts. Hence the angles FGH and HGI are equal.
For example, if angle FGI is 60 degrees, then the angle FGH and HGI (formed as a result of the bisector) would each be 30 degrees because the bisector divides the 60 degrees into two equal parts. This is the fundamental concept of an angle bisector in geometry.
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The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $1.6 trillion?
Answers
The multiplier is given by 100%+3.2% = 103.2% = 1.032
The initial amount of GDP is 577 billion
We are looking to find in how many years since 1985 that the GDP equals to 1.6 trillion, this is 1.6×10³ billion
The formula for a compound growth/decay is given as
[tex] A_{n}= A_{o} (Multiplier)^{n} [/tex], where [tex] A_{n} [/tex] is the final value and [tex] A_{o} [/tex] is the intial value.
We are looking to find 'n'
1.6×10³ = 577(1.032)ⁿ
(1.6×10³) ÷ 577 = 1.032ⁿ
1060/577 = 1.032ⁿ ⇒ take log both sides
log( 1060/577 ) = log (1.032)ⁿ
log (1060/577) ÷ log (1.032) = n
n = 19.31 ≈ 19 years
The year when GDP achieves 1.6 trillion is 19 years from 1985, which will be in 2004, providing the increase rates stays the same.
can someone help with factoring the trinomial below
Answers
56 = 7 * 8
15 = 7 + 8
so
x^2 + 15x + 56 = (x + 7)(x + 8)
answer is D. (x + 7)(x + 8)
In a test of a gender-selection technique, results consisted of 248 baby girls and 13 baby boys. based on this result, what is the probability of a girl born to a couple using this technique? does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?
Answers
Joyce is trying to solve the equation y = x2 − 8x + 7 using the quadratic formula. She has made an error in one of the steps below. Find the step where Joyce went wrong.
Step 1: x equals negative 8 plus or minus the square root of the quantity eight squared minus four times one times seven, end quantity, all over two times one.
Step 2: x equals negative 8 plus or minus the square root of sixty-four minus twenty-eight all over two times one.
Step 3: x equals negative 8 plus or minus the square root of thirty-six all over two times one.
Step 4: x equals negative 8 plus or minus six all over two.
Step 1
Step 2
Step 3
Step 4
Answers
Find the ratio of 12:7
Answers
12:7 can equal 24:14 (multiply both by 2) 36:21 (multiply both by 3) etc etc
hope this helps
12 (2) = 24
7(2) = 14
So, your answer would mostly likely be; 24:14
Good luck on your assignment
And enjoy your day! :)
~MeIsKaitlyn :)
Solve the inequality. Graph the solution set. 26 + 6b 2(3b + 4)
Answers
we have
[tex]26 + 6b\geq2(3b + 4)[/tex]
Applying the distributive property on the right side
[tex]26 + 6b\geq6b+8[/tex]
subtract [tex]6b[/tex] from both sides
[tex]26\geq 8[/tex] -------> is true
for all real numbers the inequality is true
therefore
the graph is a shaded area everywhere.
the answer is
the solution is all real numbers
The solution is all real numbers.
It is required to find the solution.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
Applying the distributive property on the right side
26+6b≥6b+8
Then subtract 6b from both sides we get,
26≥8
For all real numbers the inequality is true.
Therefore, the solution is all real numbers.
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Use the following graph of the function f(x) = 2x^3 + x^2 - 3x + 1
What is the average rate of change from x = -1 to x = 1
A) -1
B) 1
C) 2
D) 4
Answers
change in y= (1-3)=-2
change in x= 1-(-1) = 2
Average change= -1! So, (A)
What is the value of 64? 60 = 1 61 = 6 62 = 36 63 = 216
Answers
So the answer is...
ANSWER = 64 = 1296
61 = 6
62 = 36
63 = 216
You first need to find a pattern.
Each previous number is being multiplied by 6.
216*6 = 1296
64 = 1296
What is the value of b in the equation below?
Answers
when dividing subtract the powers
so you would do 6-2 = 4
so b = 4
Answer:
The value of b is 4.
Step-by-step explanation:
The given equation is
[tex]\frac{5^6}{5^2}=a^b[/tex]
According to the property of exponent,
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
Using this property of exponent, the given equation can be written as
[tex]5^{6-2}=a^b[/tex]
[tex]5^{4}=a^b[/tex]
On comparing both the sides, we get
[tex]a=5,b=4[/tex]
Therefore the value of b is 4.