Answer:
The distance between the two points is [tex]\sqrt{26}[/tex]
Step-by-step explanation:
The formula of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ The points are (-1, 3) and (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = 3 and y2 = 2
→ Substitute them in the formula of the distance above
∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]
∴ d = [tex]\sqrt{(4+1)^{2}+(-1)^{2}}[/tex]
∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]
∴ d = [tex]\sqrt{25+1}[/tex]
∴ d = [tex]\sqrt{26}[/tex]
∴ The distance between the two points is [tex]\sqrt{26}[/tex]
A boy walked for 4 hours and cycled for 3 hours covering a distance of 87.6km . Later she walked for 2 hours and cycled for 4 hours covering a distance of 101.8km. What was her average speed for walking and her average speed of cycling if these did not change in the two instances?
Answer:
average speed for walking = 4.5 km/h
average speed for cycling = 23.2 km/h
Exposed clout chaser
Answer:
*rolls eyes* I didn't think this would be the community where moderators are missed. Oh well, she clearly doesn't need help with differential calculus or Python so I wish her best.
Step-by-step explanation:
Answer:
oof that is messed up
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
25
Step-by-step explanation:
180-130=50
50/2=25
Answer:
x = 25 degrees
Step-by-step explanation:
the figure is an isosceles triangle
x + x + 130 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25 degrees
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
Answer:
Elena's move will lead to the solution of the problem
Step-by-step explanation:
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning
Given:
7.5d = 2.5d
Lin divides each side by 2.5d, Lin:
7.5d / 2.5d = 2.5d / 2.5d
3 = 1
This can not be the solution to the problem because 3 can not be Equal to 1
Elena subtracts 2.5d from each side
7.5d = 2.5d
7.5d - 2.5d = 2.5d - 2.5d
5d = 0
This can lead to the solution of the problem
Elena's move will lead to the solution of the problem
1. A right triangle is shown.
25 cm
7 cm
Based on this information, what is the length of the base of this triangle?
HELP PLS I BEG YOU
Answer:
24 is the answer
Step-by-step explanation:
answer is 24 for base
Solve for x. while you solve it can you show work pls
Answer:
Step-by-step explanation:
sin24° = 8/x multiply both sides by x
x*sin24° = 8x/x divide both sides by sin24°
x= 8/sin 24°
x ≈ 19. 69
which is the area of a circle with a diameter of 7 units? (use 3.14 for pi)
Answer:
The area of circle = πR ^2
And diameter = 7 units
By interchanging d in R =d/2 = R =7/2 = 3.5
Step-by-step explanation:
πR ^2 =3.14 x (3.5)^2 =3.14 x 3.5 x 3.5 =38.465 (unit)^2 AnswerHope it's help ^_^
Paula wins three-quarters of her tennis matches. She loses the rest. What is the ratio of wins to losses?
Answer: 3:1
Step-by-step explanation:
Egghead Egghead Egghead
Answer:
the first one is an egghead, gordon ramsey is not an egg
Step-by-step explanation:
plz help me, thank you
A bacteria culture starts with 40 bacteria and the number doubles every 20 mins.
write an equation of an exponential function that models the described situation.
plz show me the working.
Answer:
[tex]P=40(1.03526)^{t}[/tex]
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P=P_o(1+r)^{t}[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:
[tex]2P_o=P_o(1+r)^{20}[/tex]
Simplifying:
[tex](1+r)^{20}=2[/tex]
Solving for 1+r:
[tex]1+r=\sqrt[20]{2}[/tex]
[tex]1+r=1.03526[/tex]
The exponential function that models the situation is:
[tex]\mathbf{P=40(1.03526)^{t}}[/tex]
Solve each equation mentally for x.
x • 7/3 = 1
Your answer must be in the form of a fraction.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A basketball uniform costs $!6 for the shirt and $13 for the shorts. If the coach needs to buy uniforms for 9 players, use the distributive property
Solve the inequalities in Exercises 17 to 20 and show the graph of the solution in each case on number line.
17. 3x – 2 < 2x + 1
Answer:
x < 3
Step-by-step explanation:
3x - 2x - 2 < 1
3x - 2x < 1 + 2
x < 1 + 2
x < 3
For the graph, look at the picture.
what is the quotient 5/7 ÷ 3 1/3
Answer: 3/14
Step-by-step explanation:
what is 1+1 first person gets brainlst if u get wrong no brainlst
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
How do you get the fully simplified slope-intercept form?
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
11
Which of these represents point-slope form of a linear equation?
y = mx + b
y - y1 = m(x - 1)
Ax + By = 0
y=kx
Answer:
second one..........
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y = mx + b _____(1)
y - y1 = m(x - 1) _____(2)
Ax + By = 0 _____(3)
y=kx ______(4)
From all the equations given above, we see that,
Equation (1) is in the form of a point-slope.
Thus,
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
Learn more about equation of a line here:
https://brainly.com/question/14200719
#SPJ2
8. Quincy pays $150 every four months for karate lessons. Hailey pays $120 every three
months for karate lessons. At this rate, how much does Quincy pay per month for
lessons?
Answer:
$37.50 per month
Step-by-step explanation:
150/4 = 37.50 per month
Work out the probability of getting a 5. Give your answer as a fraction in its simplest form.
Answer:
1/6
Step-by-step explanation:
if you are talking about a dice roll, then the probability of getting anything is 1/6
What is the solution to the equation?
3(+ 9)4
24
A.
-3
O
B.
6
OC.
7.
OD. 25
Reset
Answer:
7
Step-by-step explanation:
[tex]3 {(x + 9)}^{ \frac{3}{4} } = 24 \\ \\ {(x + 9)}^{ \frac{3}{4} } = \frac{24}{3} \\ \\ {(x + 9)}^{ \frac{3}{4} } = 8 \\ \\ {(x + 9)}^{ \frac{3}{4} } = {2}^{3} \\ \\ (x + 9) = {2}^{3 \times \frac{4}{3} } \\ \\ x + 9 = {2}^{4} \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7[/tex]
SOMEONE PLEASE HELP ME WITH THIS!
Answer:
(−1)(5x+2)
Step-by-step explanation:
I googled it
Answer:
(x-1)(5x+2)
Step-by-step explanation:
5[tex]x^{2}[/tex] + 2x - 5x - 2
(5[tex]x^{2}[/tex] + 2x) (- 5x - 2)
x(5x + 2) -1(5x + 2)
(x-1)(5x+2)
18 POINTS
Classify the triangle described below. A triangle with measures of x∘, 4x∘, and 4x∘ is a(n)
A.Right B. Obtuse C. Acute triangle.
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many
2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
•8
•4
•12
•16
Answer:
B. 8
Step-by-step explanation:
Calculate how many 2 point answers and 5 point answers there are.
2 x 8 = 16
Since there are half as many 5 point answers as there are 2 point answers,
5 x 4 = 20
calculate how many remaining questions there are. The numbers would be 8 since you had 8 2 point questions and 4 since half of 8 is four.
8 + 4 = 12
Subtract that number by the total questions, which is 28.
28 - 12 = 16
Next figure out how many 4 point questions you had (28-12=16)
16 x 4 = 64
To check your work add up the totals and see if they match up to 100.
16 + 20 + 64 = 100
Step-by-step explanation:
Dylan and Abigail are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Dylan is 269 miles away from the stadium and Abigail is 329 miles away from the stadium. Dylan is driving along the highway at a speed of 45 miles per hour and Abigail is driving at speed of 57 miles per hour. Let DD represent Dylan's distance, in miles, away from the stadium tt hours after noon. Let AA represent Abigail's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Dylan and Abigail are the same distance from the stadium.
Answer:
D= 269-45t A=329-57t
5 hours
Which of the following shows the correct solution steps and solution to
7x – 4 = –18?
A.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
2
2
7
x
7
=
−
2
2
7
x
=
−
2
2
7
7x−4
7x−4+4
7x
7
7x
x
=−18
=−18+4
=−22
=
7
−22
=
7
−22
B.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
1
4
7
x
−
7
=
−
1
4
−
7
x
=
2
7x−4
7x−4+4
7x
−7
7x
x
=−18
=−18+4
=−14
=
−7
−14
=2
C.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
1
4
7
x
7
=
−
1
4
7
x
=
−
2
7x−4
7x−4+4
7x
7
7x
x
=−18
=−18+4
=−14
=
7
−14
=−2
D.
7
x
−
4
=
−
1
8
7
x
−
4
−
4
=
−
1
8
−
4
7
x
=
−
1
4
7
x
7
=
−
1
4
7
x
=
−
2
7x−4
7x−4−4
7x
7
7x
x
=−18
=−18−4
=−14
=
7
−14
=−2
Answer:
Simplify 7\times -47×−4 to -28−28.
-28=-18
−28=−18
2 Since -28=-18−28=−18 is false, there is no solution.
No Solution
Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?
Answer:
$3360
Step-by-step explanation:
7% of $6000=$420
$420 time 8= $3360
Hope this helped! :)
Answer:
$3,360
Step-by-step explanation:
So first of all you want to start by finding what P, r and t would be.
P = Principal amount ($$)
r = interest rate (%)
t = time (years)
Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)
Hope this helps! :)
Have a great day!
Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $7.31 in it. Select the choices that make inequality and statement about the possible amount of money in the other piggy bank correct.
The possible amount of money in the other piggy bank correct is x < 2.69.
Given that,
Teddy has two piggy banks.
And, The difference in the amount of money between the two banks is no more than $10.
Here, One piggy bank has $7.31 in it.
Let us assume that,
The amount of money in the other piggy bank = x
Hence, the inequality is,
7.31 + x < 10
Solve for x,
x < 10 - 7.31
x < 2.69
Therefore, x < 2.69 is the possible amount of money in the other piggy bank.
To learn more about inequality visit:
https://brainly.com/question/25944814
#SPJ4
Can someone help within 10 min Help plz
Answer:
-6x + y < 3
Step-by-step explanation:
After y = 3 the shading hits the y axis!
Brainliest Appreciated! Hope I helped!
can someone help plz
Answer:
4 possible real zeroes
solutions are
[tex]x=\sqrt{3}\\x=-\sqrt{3}[/tex]
x = 1
x = -1
Step-by-step explanation:
4th order polynomial therefore there are 4 possible solutions.
factoring it:
(x^2-3)(x^2-1)
Solve for x
x^2 - 3 = 0
x^2 = 3 ; take the square root of both sides
[tex]x=\sqrt{3}\\x=-\sqrt{3}[/tex]
x^2 - 1 = 0
x^2 = 1
x = 1
x = -1
If someone could answer this, that'd be great!
(359x+1000)-(175x+.50m+62.36)