We'll need the slope formula which is
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\[/tex]
We subtract the y values together, and divide that over the difference in the x values when subtracted in the same order.
Let's find the slope of line DE
[tex]D = (x_1,y_1) = (6,1) \text{ and } E = (x_2,y_2) = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 1}{2 - 6}\\\\m = \frac{2}{-4}\\\\m = -\frac{1}{2}\\\\[/tex]
The slope of line DE is -1/2.
Next, compute the slope of line EF
[tex]E = (x_1,y_1) = (2,3) \text{ and } F = (x_2,y_2) = (-1,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - 3}{-1 - 2}\\\\m = \frac{-6}{-3}\\\\m = 2\\\\[/tex]
The slope of line EF is 2.
Lastly, compute the slope of line FD
[tex]F = (x_1,y_1) = (-1,-3) \text{ and } D = (x_2,y_2) = (6,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-3)}{6 - (-1)}\\\\m = \frac{1 + 3}{6 + 1}\\\\m = \frac{4}{7}\\\\[/tex]
The slope of line FD is 4/7.
--------------------------
To recap everything so far, we found the following:
slope of DE = -1/2slope of EF = 2slope of FD = 4/7The product of the first two slopes gets us (-1/2)*(2) = -1 showing that DE is perpendicular to EF.
Perpendicular slopes multiply to -1 as long as neither line is vertical nor horizontal.
Since DE is perpendicular to EF, this proves we have a 90 degree angle at point E.
Therefore triangle DEF is a right triangle.
A piece of wood 6 m 20 cm long is marked off into 0.1 m lengths.
How many 0.1 m lengths are there?
Answer:
Your Correct answer is 60.2
Step-by-step explanation:
Well, we're solving for how many 0.1m lengths there are in 6m 20cm, there are (60.2) 0.1m lengths.
You want to purchase your first house. A conventional mortgage will require a credit score of approximately 630. Your credit score is 560. You need to increase it by 70 points to get to 630. If you increase your score by 12% per year, how many years will it take to lift your score to 630?
Answer:
a) 1.1 yrs
Step-by-step explanation:
THESE ARE OPTIONS FOR THE QUESTION BELOW;
a) 1.1 yrs
b) 2.3 yrs
c) 26 yrs.
d) 12 yrs.
✓At initial year (0 year) credit score =560 points
Then the score is increased by 12% per year, with this 12% increase we have 702.4 points in the 1st year
✓At the first year(1st year)
(12/100)× 560 points of the initial year.
= 627points
✓ At second year (2nd year), the 627points
increases by 12% again.
(12/100)× 627.2 points of the initial year.
= 702.4points
There was 75.2 increase between istyear and second year(702.4points - 627points)
Since, We have 12 month in a year, that means there is 6.2 points per month (75.2/12) for the year .
After second year we had 627points, with increase of 6.2point, Then at 1.1 year we would have score of 630 points
Answer:
11
Step-by-step explanation:
what is the number of significant figures in 0.502
geometry! help pls asap
i believe the answer is A sry if im wrong
Answer:
C
Step-by-step explanation:
will be your answer
Which equation represents the graphed line?
Answer:
A.
Hope this helps!!!!!!!
PLEASE HELP I NEED THIS NOW PLEASE I WILL MARK BRAINLIST!! Look at the image above to solve please
Mallory is 2 years older than three times her brother Jake’s age.
Let j represent Jake’s age.
During the strategize step of the five-step problem-solving plan, which expression where do you use to represent Mallory’s age?
A. 3j+2
B. 2j+3
C. j+2
D. 3(j+2)
Answer:
A) 3j + 2
Step-by-step explanation:
sorry, I always have trouble explaining this kind of question. hope I was still able to help!
1 pizza can feed 4 people. How much pizza would be needed to feed 18 people?
Answer:
5
Step-by-step explanation:
1 pizza feeds 4
We need to feed 18
18/4 = 4.5
You can have a partial pizza, so you need 5 pizzas to feed 18 people.
Can you guys PLZ answer this question really fast
Answer:
5*10^-7
Step-by-step explanation:
Please Help!!
Thanks!!
Answer:
a) 18x+9x+4x+16
b) 41x+16
What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?
Oy-1=4(3-3)
Oy+3 = 4(x+1)
Oy+1=4(x+3)
Oy-3 = 4(2 - 1)
Answer:
The answer is y+3 = 4(x+1)Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
So we have
[tex]y + 3 = 4(x + 1)[/tex]
Hope this helps you
plz help i attached a photo
Which is the graph of the system y < 3x + 4 and y < 3x - 2
Answer:
C
Step-by-step explanation:
Answer:
It’s C
Step-by-step explanation:
trust
After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows. P(soil | high-quality oil) = 0.20 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.20 How should the firm interpret the soil test? The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find oil. What are the revised probabilities?
Answer:
The revised probabilities are;
The probability of finding soil with oil = 0.8
The probability of finding soil with good oil = 0.16
The probability of finding medium quality oil = 0.64
Step-by-step explanation:
The given probability of finding soil with high quality oil, P(QO) = 0.20
The probability of finding soil with medium-quality oil, P(OM) = 0.80
The probability of finding soil with no oil, P(ON) = 0.2
Therefore, given that the probability of finding soil with no oil = 0.2, we have;
The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil
P(OP) = 1 - 0.2 = 0.8
Which gives;
The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;
P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16
The probability of finding good oil = 0.16
Similarly;
The probability of finding medium quality oil P(FM) = P(OM) × P(OP) = 0.8 × 0.8 = 0.64
Which gives the revised probability as follows;
The probability of finding soil with oil, P(OP) = 0.8
The probability of finding soil with good oil, P(FG) = 0.16
The probability of finding medium quality oil, P(FM) = 0.64.
7k-10=-8-4(k+6)
Helpp
Answer:
k=-2
Step-by-step explanation:
7k-10=-8-4(k+6)
7k-10=-8-4k-24
7k-10=-32-4k
7k-10=-32-4k
11k-10=-32
11k=-22
k=-2
Step-by-step explanation:
7k-10= -8-4(k+6)
7k-10= -8-4k_24
7k+4k= -8-24+10
11k= -22
k= -22/11
k= -2
y − 3x = 4 slope intercept form plsssssssss
Answer:
y = 3x + 4
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b. We add - 3x to 4 to isolate the y.
PLEASE HELP
Norton started driving at 9 am by noon he had traveled 162 mi what was his average Speed?
Answer:
54 mph
Step-by-step explanation:
Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54.
PLS HELP ME ASAP I'LL GIVE BRAINLYEST
[tex](7y + 5) - (8y - 6)[/tex]
Answer:
7y + 5 - 8y + 6
-y + 11
Step-by-step explanation:
RJ solves a math problem on the whiteboard using the Powers of Products Property. Is his answer correct? Explain.
6^3 * 7^3 = 42^3
Select the correct answer.
a:
Yes, because (6*7)^3 is 42^3
b:
No, because 6^3 * 7^3 = 42^6
c:
No because 6^3 * 7^ 3 = 42^9
d:
No, because 6 * 7 = 42
Answer:
Its A
Step-by-step explanation:
Because they have the same answer. <3
TV−→− bisects ∠STU, m∠STV=(14x+8)∘, and m∠UTV=(x+2)∘. Find m∠STU
Answer:
Since TV bisects STU, m∠STV and m∠UTV are equal
14x+8 = x+2
13x+8 = 2
13x = -6
x = -6/13 or -0.46
The measure of m∠STU is 40/13 degrees
A point that bisects a line divides the line into two equal parts
If TV bisects ∠STU and ∠UTV, then;
∠STU = ∠STV+ ∠UTV ∠STV= ∠UTVGiven the following
m∠STV=(14x+8)∘
m∠UTV=(x+2)∘
Substitute the given values into the formula and calculate m∠STU
14x + 8 = x+ 2
14x - x = 2 - 8
13x = -6
x = -6/13
Get m∠STV
m∠STU = 14x+8 + x + 2
m∠STU = 15x + 10
m∠STU = 15(-6/13) + 10
m∠STU = -90/13 + 10
m∠STU = 40/13
Hence the measure of m∠STU is 40/13 degrees
Learn more here https://brainly.com/question/22883501
Are these two triangles similar???????!!!!!!! PLEASE HELP! I WILL GIVE BRAINILST AND MANY POINTS!
Answer:
yes the blue one is bigger but the green one is just smaller but if you multiply the sides by two it would be the same size so yeah they are similar
Step-by-step explanation:
Answer:
It's called Dilation when a triangle is the similar but only smaller, but as he said above, multiply the numbers by 2, you can't if they aren't numbers but if you do then it'll be the same size.
Step-by-step explanation:
What is the mean of the data set: 17,13,18,20,17,15,12
Answer:
16
Step-by-step explanation:
HELP HAVING BAD DAY
Find the ratio a:b if it is given that: a 3a=8b
Answer:see answers below
Step-by-step explanation:Slope=
2.000
0.750
=0.375
a−intercept=
3
0
=0.00000
b−intercept=
−8
0
=−0.00000
A rectangular pentagon with side lengths of l. A rectangle with a length of l + 10 and a width of l.
A regular pentagon and rectangle have the same perimeter. The length of the rectangle and the side of the pentagon are equal. The width is 10 more than the length. Write an equation that describes the scenario.
pentagon’s perimeter:
rectangle’s perimeter:
scenario’s equation:
Answer:
Pentagon's perimeter: 5I ; (choice 2)
Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)
Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)
Step-by-step explanation:
I hope this helped! :)
Answer:
Pentagon's perimeter: 5I ; (choice 2)
Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)
Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)
Step-by-step explanation:
find the sum of the first 25 multiples of 10.
Answer:
Step-by-step explanation: So the first 25 multiples of 10 are ,
10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!
Answer:
3250
Step-by-step explanation:
First 25 multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
21 + 22 + 23 + 24 + 25 = 115
55 + 155 = 210
210 + 115 = 325
325 x 10 = 3250
Hope this helped!
Which transformation has been applied?
Answer:
Its C
Step-by-step explanation:
The perimeter of a rectangular swimming pool is 154 m. Its
length is 2 m more than twice its width. What are
length and the width of the pool ?
Answer:
breadth =25 m and length =25×2+2=52 m
Step-by-step explanation:
below are two parallel lines with a third line intersecting them.
is 5.67 A)rational B)Irrational C)whole D) natural E)integer