Given:
Ty’s house is located ( 7,8) and the library is located ( 7,-6).
Each unit on the coordinate plane represents 1 block.
To find:
The number of blocks from Ty’s house to the library.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We need to find the distance between the two points ( 7,8) and ( 7,-6).
Using the distance formula, we get
[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]
[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]
[tex]D=\sqrt{196}[/tex]
[tex]D=14[/tex]
The distance between the two points ( 7,8) and ( 7,-6) is 14 units.
We know that, each unit on the coordinate plane represents 1 block.
Therefore, there are 14 blocks from Ty’s house to the library.
what is the mean of the following data values? 53,71,89,10,87
Answer:
63
Step-by-step explanation:
Mean=Sum of all values/number of observation
=53+71+89+10+87/5
=310/5
=62
It's 62
Just took test
Express 6 : 12 in the form n : 1 . Give n as a decimal.
Answer:
6:1
Step-by-step explanation:
If f(x) = 2(3^x) + 1, what is the value of f(2)?
(1) 13
(3) 37
(2) 19
(4) 54
Answer:
Given
F ( x ) = 3 x 2 + 1 , to find F ( − 2 ) , we have to just put
x = − 2 in the formula for F ( x ) .
therefore , F ( − 2 ) = 3 ( − 2 ) 2 + 1 = 3 ( 4 ) + 1 = 13 .
PLEASE PLEASE HELP, AND SHOW WORK. IM LATE ON THIS
Answer:
D is the answer
Step-by-step explanation:
Waylon bought 8 pizzas and spent a total of $96. How much did each pizza
cost?
Answer:
12 (Waylon's a big eater)
Step-by-step explanation:
To find how much one pizza cost, we simply divide the cost and the total amount, so:
96 ÷ 8 = 12
-------
Have a good day :)
.....................
Answer:
3 3.14 [tex]\pi[/tex] 3.142 22/7
PLEASE HELP
WILL GIVE BRAINLIEST
Answer:
Decimal form: 7.25
Mixed Number: 7 1/4
Step-by-step explanation:
9 3/4 = 39/4 (times 9*4 then add 3, keep the denominator).
2 1/2 = 5/2 (times 2*2 then add 1, keep the denominator).
39/4 - 5/2
29/4 (simplify)
ANSWER- 7 1/4
Answer:
7 1/4
Step-by-step explanation:
I learned this in like 5th grade lol.
One button is chosen at random from a bag of buttons.
The probability that it is yellow is 0.2.
What is the probability that the button chosen is not yellow?
Below. What is m∠1?
m∠1 =
Answer:
70 degrees
Step-by-step explanation:
what is the answer to X-10=12
Answer:
x=22
Step-by-step explanation:
x-10=12
add 10 to each side..
x-10=12
+10 +10
12+10=22
x=22
im bad at explaining but hope it helps <3
Ill give for 32, plz solve them. :)
Answer:
t>=7
Step-by-step explanation:
Q12.
Which relation is a function?
A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}
B
{(-2, -2), (0, 0), (1, 1), (2, -2)}
C
{(7, 4), (8, 8), (10, 8), (10, 10)}
D
{(4, 0), (4, 1), (4, 2), (4, 3)}
The equation of a line is y=mx+ 4. What is the value of m if the line passes through point (−3, 7)?
Answer:
m= -1
Step-by-step explanation:
plug in the coordinate (-3, 7) into y=mx+4 where (x, y)
7=-3m+4
solve for m and you get -1
:)
Answer:
[tex]\huge\boxed{m=-1}[/tex]
Step-by-step explanation:
We have
[tex]y=mx+4\\\\(-3,\ 7)[/tex]
Put the coordinates of the given point to the equation of the line:
[tex](-3,\ 7)\to x=-3,\ y=7\\\\7=-3m+4\qquad|\text{subtract 4 from both sides}\\\\7-4=-3m+4-4\\\\3=-3m\qquad|\text{divide both sides by (-3)}\\\\\dfrac{3}{-3}=\dfrac{-3m}{-3}\\\\-1=m\to m=-1[/tex]
Which shows all the factors pairs of 45?
O A. 4,5
OB. 5,9
O C. 1,45
5,9
O D. 1,45
3, 15
5,9
O E. 1,45
3, 15
4,5
5,9
Which shows all the factors pairs of 45 ?
A racing car travels around a 2k circuit at 120km/h.
How many laps will it complete in
a) 30 mins b) 1 hour 12mins?
1k 2k 15k
Step-by-step explanation:
cgziaaoaoiaaiwjwjahBZHZISKANA S S
Which expression is equivalent to
Answer:
[tex]-12(3x - \frac{3}{4} ) = -36x + (\frac{3*12}{4}) = -36x + (3*3) = -36x + 9[/tex]
option 4
what is 80° out of 2/5
Answer:
32
Step-by-step explanation:
We put the fraction 2/5 then our new fraction side by side is...
80/1
2*80/5*1 = 160/5
Now we can divided by new numerator and denominator by simplify this fraction down to the lowest term.
160/5 = 32
5/5 = 1
Put that together to complete the answer:
32/1
The completed and simplified answer to this question what 2/5 of 80 is:
32
A tree is 15 feet tall and casts a shadow of 9 feet. How long is the shadow of a tree 25 feet tall?
Answer:
The shadow is 15 feet long.
Step-by-step explanation:
This is a proportion question. Build a proportion using two fractions.
[tex]\frac{\text{tree height}}{\text{shadow length}}[/tex]
[tex]\frac{15}{9}=\frac{25}{x}[/tex]
"Cross-multiply" -- you might know this as the Means-Extremes Property of Proportions.
[tex]15x=(25)(9)\\15x=225\\x=15[/tex]
The graph below is the solution for which sets of inequalities?
Answer:
the first one
Step-by-step explanation:
i did the test and got it right
Answer
1
Step-by-step explanation:
i need answer please answer
Step-by-step explanation:
x+30°=180°{ straight angle}
x=180-30
x=150°
stay safe healthy and happy.Answer:
150°
Step-by-step explanation:
BC is 180°
AOC is 30°
180°- 30° = 150°
What number is one hundred more than 770?
Answer:
870 I hope this helps
Step-by-step explanation:
770+100
Answer:
870.
Step-by-step explanation:
We are looking for a new number which is 100 more than 770.
We will get the new number by adding 100 to 770.
We write it down as:
[tex]770 + 100 = 80[/tex]
And finally the solution for: What number is 100 more than 770?
is 870.
The diagram shows a triangle. What is the value of w?
Answer:
A triangle has 180 degrees, so 44+13w+4w=180 Solve for w.
17w=136 w=8
Step-by-step explanation:
Below is the entire graph of function f graph f^-1, the inverse of f
The graph of the inverse of a function is its reflection across the line y = x
Please find attached the required graph created with MS Excel
The graph of the inverse of a function is reflected over the line y = x
In order to graph the function f⁻¹, either the line y = x is drawn and the points of f⁻¹ are traced by taking equal distance from the line y = x, or the x, and y-coordinates of the f are reversed to get the coordinates of f⁻¹ as follows;
The reflection of the point (x, y) across the line y = x is (y, x)
The vertices of the graph of the function f, staring from the top are;
(5, 6), (3, -3), (-3, -5)
Therefore, we have;
The reflection of the point (5, 6) across the line y = x is (6, 5)
The reflection of the point (3, -3) across the line y = x is (-3, 3)
The reflection of the point (-3, -5) across the line y = x is (-5, -3)
The graph of the function f⁻¹ can be plotted using MS Excel, and the above values, as shown in the attached diagram
Learn more about graphing the inverse of a function here:
https://brainly.com/question/11677378
HELP ME PLEASE I HAVE NO IDEA WHAT IM DOING
how do you find the area of overlap???
Answer:
subtracting the triangle on each side gives you the area of the overlapping section.
Step-by-step explanation:
Subtract the triangle on each side gives you the area of the overlapping section.
Example in photo:
One question PLZZZZZZZZZZZZ help
Step-by-step explanation:
30 ==> 8 + (30×3) = 8+90= $98
for $112 =
(122-8)÷3
= 114 ÷ 3 = 38 people
Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance, in miles, Jason must ride to reach the end of the path. Show your work.
Answer:
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Step-by-step explanation:
Total distance of the path = 12 1/4 miles
Distance reached by Jason's bike on the path = 11 1/2 miles
Enter the distance, in miles, Jason must ride to reach the end of the path.
Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path
= 12 1/4 miles - 11 1/2 miles
= 49/4 - 23/2
= (49-46) / 4
= 3/4 miles
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Work out the length of x.
Give your answer rounded to 3 significant figures.
х
10.5 mm
1.6 mm
The diagram is not drawn accurately.
mm
NEED HELP ASAP
If you roll a 6-sided die 12 times, what is the best prediction possible for the number of times you will roll a six?
Answer:
2 times
Step-by-step explanation:
the probability to get a 6 is 1/6. multiply it by 12/1, to get 12/6 which is 2
Find the surface area of the prism.
Answer:
508
Step-by-step explanation:
Answer:
Surface area = 508
Step-by-step explanation:
Width = 11
Length = 4
Height = 14
Equation: 2(lw+lh+wh)
2(4•11+4•14+11•14) = 508
,,
......nnnnnnnnnnnn
Answer:
jb/job/Lin/l’kn;job;like
Step-by-step explanation:
no;job’;lojhn’kihn’;pain’-;