Answer:
4
Step-by-step explanation:
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.
Answer:
13 miles
Step-by-step explanation:
Given that he traveled in a straight line to each destination. Then,
i. distance from his home to soccer field = [tex]\sqrt{x^{2} + y^{2} }[/tex]
= [tex]\sqrt{4^{2} + 3^{2}}[/tex]
= [tex]\sqrt{16 + 9}[/tex]
= [tex]\sqrt{25}[/tex] = 5 miles
ii. The distance from soccer field to the library = 8 miles.
So that we can say that;
Ryan's total distance from home to the library = 5 + 8
= 13 miles
Thus, Ryan would have traveled 13 miles by the time he reached the library.
PLEASE HELP!!
A plane is going to fly 400 miles at a planned speed of 570 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time T, in hours, of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
T(w) = 400/570 - W
a) What does T(150) mean in this situation?
b) At what value of w does the graph have a vertical asymptote? Explain how you know and what this asymptote means in the situation.
Step-by-step explanation:
t(150) = 400/570-150
=400/420
=20/21
=.95238
i need help with 6 and 7! please help asap!! and explain why
Answer: I would say 6 its a function and 7 its not because in number seven the x value repeats so it can't be a function and number 6 the x-value its not the same
Step-by-step explanation: When the x-value repeats its not a function if the y-value repeats it doesn't matter
Determine the distance, in units, from (−4,−7) to (4,8).
Answer:
17
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[4 - (-4)]² + [8 - (-7)]²
√(8)² + (15)²
√64 + 225
√289
=17
What is the inequality for x -3 < 5 (10 points for this question)
answer is x<8
Step-by-step explanation:
Please help me out with my work
Seeing that its a right triangle...
We can use pythagorean theorem.
8^2 + 4^2 = x^2
64 + 16 = x^2
80 = x^2
x = 8.94427191
HELPP MEEE 20 POINTS !!! NO BOTS OR I WILL REPORT !!!Which of the following equations describes the line shown below? Check all
that apply. (-1,8) (-3,-6)
Find the area of the regular polygon.
10
5 divided by 3
Answer:
Start by setting it up with the divisor 3 on the left side and the dividend 105 on the right side like this:
3 ⟌ 1 0 5
Step 2:
The divisor (3) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
3 ⟌ 1 0 5
Step 3:
Multiply the divisor by the result in the previous step (3 x 0 = 0) and write that answer below the dividend.
0
3 ⟌ 1 0 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
3 ⟌ 1 0 5
- 0
1
Step 5:
Move down the 2nd digit of the dividend (0) like this:
0
3 ⟌ 1 0 5
- 0
1 0
Step 6:
The divisor (3) goes into the bottom number (10), 3 time(s). Therefore, put 3 on top:
0 3
3 ⟌ 1 0 5
- 0
1 0
Step 7:
Multiply the divisor by the result in the previous step (3 x 3 = 9) and write that answer at the bottom:
0 3
3 ⟌ 1 0 5
- 0
1 0
9
Step 8:
Subtract the result in the previous step from the number written above it. (10 - 9 = 1) and write the answer at the bottom.
0 3
3 ⟌ 1 0 5
- 0
1 0
- 9
1
Step 9:
Move down the last digit of the dividend (5) like this:
0 3
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
Step 10:
The divisor (3) goes into the bottom number (15), 5 time(s). Therefore put 5 on top:
0 3 5
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
Step 11:
Multiply the divisor by the result in the previous step (3 x 5 = 15) and write the answer at the bottom:
0 3 5
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
1 5
Step 12:
Subtract the result in the previous step from the number written above it. (15 - 15 = 0) and write the answer at the bottom.
0 3 5
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
- 1 5
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 105 divided by 3 calculated using Long Division is:
35
0 Remainder
Step-by-step explanation:
Answer:
5 half of the e
Step-by-step explanation:
there were 64 basketball games during the NCAA tournament 16 of those games were decided by 3 points or less what percentage of games were decided by 3 points or less
Answer:
25%
Step-by-step explanation:
We can use a proportion to answer this question:
64 represent the 100% of the games
so:
x : 100 = 16 : 64
x = (16*100)/64 = 1600/64 = 25%
what is the sum of 3 and n ?select all that apply
a. 3n
b. n+3
c. 3+n
d. n+n+n
c. n to the 3rd power
Answer:
c. 3+n
b. n+3
Step-by-step explanation:
Mr. Sweeney's car can travel 195 miles on 10 gallons of gas. How far
can Mr. Sweeney travel if he buys 18 gallons of gas?
I
Answer:
Miles in 10 gallons = 195
Miles in 1 gallon = 195/10 = 19.5
Miles in 18 gallons = 19.5 × 18 = 351 miles.
Answer:
Miles travelled by the car on 10 gallons of gas = 195 miles
Miles travelled by the car in 1 gallon of gas = 195 ÷ 10 = 19.5 miles
Miles travelled by the car in 18 gallons of gas = 19.5 × 18 = 351 miles.
GEOMETRY 10TH GRADE NEED HELP ASAP
[tex] \boxed{(6, -3)} [/tex]
Step-by-step explanation:
Given the ratio 5:3
and Points A and B where A is located at (-6, 3), and B is located at (26, -13).
Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].
(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].
(26, -13) → [tex] (x_{2}, y_{2}) [/tex].
Let 5 be n, and 3 be m.
5:3 → n:m
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].
To solve, just substitute these variables into the expressions of these coordinates to get the answer.
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →
[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →
[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →
[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →
[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →
[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]
→
[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]
→
[tex] (6, -3) [/tex].
Thus the coordinates of B are:
[tex] \boxed{(6, -3)} [/tex]
Answer:
Step-by-step explanation:
AB:BC::5:3
let the coordinates be (x,y)
[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]
coordinates of B are (14,3)
462 pupils are going on a school trip. A coach can seat 54 children.
How many coaches will be needed for the trip?
Answer:
9
Step-by-step explanation:
Since we know that one coach can seat 54 children we know that we should divide 462/54 which is approximately 8.5 but since we can't leave any behind we should round up to 9.
Find the output, y, when the input, c, is -1.
y
у
8
6
41
2+
+
+
2
-6
- 2
4
6
- 2
-6
Answer:
41
Step-by-step explanation:
Look
HCF of 225 and 270 is?
Answer:
I believe it's 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
270 = 1*225 + 45
225 = 5 * 45 + 0
HCF = 45
The above is Euclid's method for finding the HCF.
The other method is by finding the prime factors:
225 = 3 * 3 * 5 * 5
270 = 2 * 3 * 3 * 5
We pick out common factors:
So the HCF 3 * 3 * 5
= 45.
Which polynomial is equivalent to 4n + 5^2
Answer:
16n^2+40n+25
Step-by-step explanation:
easy question!!
1. What is the surface area of a rectangular prism with a height of 8 feet, a width of 3 feet, and a length of 4 feet?
288 ft2
160 ft2
136 ft2
264 ft2
Answer:
136 ft^2
Step-by-step explanation:
Surface area = 2 [ (l*w) + (l*h) + (w*h) ]
= 2 [ (8*3) + (8*4) + (4*3) ]
= 136 ft^2
A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Kate wants to buy two shirts priced at $19 each. How much will she pay?
Answer:
$32.3
Step-by-step explanation:
First write 30% in the decimal form
30/100 = 0.3
than the equation written in the form
x = 19 + (19 - 0.3× 19)
x = 19 + ( 19 - 5.7)
x = 19 + 13.3
x =$ 32.3
So, Kate will pay $32.3
5x/7-5=50 plsssssssssss noBOTS
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x=77
Explanation:
5x/7 - 5 = 50
5x/7 = 55
5x = 385
x = 77
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
5x/7 - 5 = 50
5x/7 = 50+5
5x/7=55
5x=55x7
5x = 385
x=385/5
x=77
Anybody know what is this? (I think it's not a compass)
Answer:
It is actually called a compass...
Step-by-step explanation:
Answer:
They're called geometrical proportional dividers.
The line y=2x+5 would pass through which of the following points?
A(0,2)
B. (0,10)
C. (0,5)
D. (0,7)
Answer:
C: (0, 5)
Step-by-step explanation:
The x-coordinates are all the same: 0. In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).
We conclude that the line would pass through (0, 5), which is the y-intercept.
The equation
^
Y=-0.37x^2+6.15x+52.3 approximates the average temperature in October in degrees Fahrenheit at an agricultural community x hours after 5 a.m.
What is the best estimate for the average temperature in October at 2 p.m.?
64 F
67 F
71 F
78 F
Answer:
best approximate is 78 F. to find x, count number of hours between 5 am and 2 pm (which is 9). Substitute 9 into the equation and solve. hope this helps!
Step-by-step explanation:
[tex]y = - 0.37 {x}^{2} + 6.15x + 52.3 \\ y = - 0.37 ({9}^{2} ) + 6.15(9) + 52.3 \\ y = - 0.37(81) + 6.15(9) + 52.3 \\ y = - 29.97 + 55.35 + 52.3 \\ y = 77.68[/tex]
how do i fiind the longitude and latitude with a ruler
Answer:
measure it with the inches side.
Step-by-step explanation:
The time it takes to travel to a destination varies inversely with the average speed. It takes two hours when the average speed is 40mph. If the average speed changes to 80mph, what is the new travel time?
Answer:
4 hours
Step-by-step explanation:
is 40 is two hours then 80 must be 4 hours
Find the value of sin^-1(4pi/5)
Answer:
No value because 4π/5 exceeds the domain
Step-by-step explanation:
The domain and range of sin^-1(x) is a domain of [-1,1] and a range of [-π/2,π/2]
Since 4π/5>1, this exceeds the domain and therefore has no value.
can you graph x+y=2 x-y=4??
What is the area of the given circle?
Answer:
50.26 is the area.
Hope it helps!!!
PLEASE PLEASE HELP!!
For problems 11 and 12, find the area of the figure. Round your answer to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
11)
A= (B x H)/2
A= (2.9x3.2)/2= 4.64cm²
12)
A= (B+b)H /2
A= (12+10)5.6 /2 = 61.6in
Answer:
I think that the answer might be 9.30 for the first one and the second one I think is 670.
Step-by-step explanation:
To find the area, you have to multiply the height and width for the two figures.
3.2 × 2.9 = 9.28
12 × 10 × 5.6 = 672
I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.
1). What are the vertices of the hyperbola whose equation is:
( y + 6 ) ² ( x + 8 ) ²
_____ - _____
81 49
2). What are the foci of the hyperbola whose equation is:
( x - 6 ) ² ( y + 7 ) ²
_____ - _____
16 9
Answer:
1) The vertices of the hyperbola are (-8, -15), (-8, 3)
2) The foci of the hyperbola are (11, -7) or (1, -7)
Step-by-step explanation:
1) The vertices of a hyperbola given in the form [tex]\dfrac{\left (y - k\right)^2}{a^2} -\dfrac{\left (x - h\right)^2}{b^2} = 1[/tex] is (h, k ± a)
Therefore, for the given hyperbola with the following equation;
[tex]\dfrac{\left (y + 6\right)^2}{81} -\dfrac{\left (x + 8\right)^2}{49} = 1[/tex], we have;
[tex]\dfrac{\left (y + 6\right)^2}{9^2} -\dfrac{\left (x + 8\right)^2}{7^2} = 1[/tex]
Therefore the vertices are;
(-8, -6 ± 9) = (-8, -15), (-8, 3)
2) The equation of the given hyperbola is presented as follows;
[tex]\dfrac{\left (x - 6\right)^2}{16} -\dfrac{\left (y + 7\right)^2}{9} = 1[/tex]
The given hyperbola is of the form;
[tex]\dfrac{\left (x - h\right)^2}{a^2} -\dfrac{\left (y - k\right)^2}{b^2} = 1[/tex]
We get;
[tex]\dfrac{\left (x - 6\right)^2}{4^2} -\dfrac{\left (y + 7\right)^2}{3^2} = 1[/tex]
The foci is then (h ± c, k)
Therefore, by comparison, the foci of the given hyperbola is (6 ± c, -7)
Where c² = a² + b²
∴ c² = 4² + 3² = 25
c = √25 = 5
∴ The foci; (6 ± 5, -7) = (11, -7) or (1, -7).
Norachai invests $8,876 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?
A) $15,932.34
B) $16,173.13
C) $17,002.34
D) $15,231.28