Here,
(-1, 4) = (x₁ , y₁)
(-6, -5) = (x₂ , y₂)
Slope = rise/run
Slope = y₂ - y₁/x₂ - x₁
Slope = -5 - 4/ -6 + 1
Slope = -9/-5
Slope = 9/5
_____
Hope it helps ⚜
X, Y, and Z are collinear and Y is between X and Z. If XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
what is the value of x?
a. 6
b. 4
c. 10
d. 8
Answer:
6
Step-by-step explanation:
XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
We know that XY + YZ = XZ, so
3x - 1 + 5 = 5x - 8
3x + 4 = 5x - 8
3x + 12 = 5x
12 = 2x
6 = x
The value of x from the given line segment XZ is 6. Therefore, the correct answer is option A.
Given that, X, Y, and Z are collinear and Y is between X and Z.
Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that are close to or far from each other are said to be collinear.
So, here [tex]XZ=XY+YZ[/tex]
[tex]5x-8=3x-1+5[/tex]
[tex]5x-8=3x+4[/tex]
[tex]5x-3x=4+8[/tex]
[tex]2x=12[/tex]
[tex]x=6[/tex]
Therefore, the correct answer is option A.
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- 8i - 7i
A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2
In mrs kuliks class there are 20 female students and 8 male students what is the percent of male students
Answer:
About 29%
Step-by-step explanation:
Help PLZZ
Find the slope of the line through each pair of points
1.(10,-9),(-4,-14)
2.(16,6),(-4,-14)
3.(9,-4),(5,-20)
4.(-13,20),(-18,20)
To find slope we use the formula ~
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][ Ratio of the difference of y - coordinates of the points and the difference of x - coordinates of the points ]
let's find the slope of line passing through the given points ~
1. (10 , -9) and (-4 , -14) [tex] \sf \dfrac{ - 9 - ( - 14)}{10 - ( - 4)} [/tex][tex] \sf \dfrac{ - 9 + 14}{10 + 4} [/tex][tex] \sf \dfrac{5}{14} [/tex]2. (16 , 6) and (-4 , -14)[tex] \sf \dfrac{6 - ( - 14)}{16 - ( - 4)}[/tex][tex] \sf \dfrac{6 + 14}{16 + 4} [/tex][tex] \sf \dfrac{20}{20}[/tex][tex] \sf1[/tex]3. (9 , -4) and (5 , -20)[tex] \sf \dfrac{ - 4 - ( - 20)}{9 - 5}[/tex][tex] \sf \dfrac{ - 4 + 20}{4} [/tex][tex] \sf \dfrac{16}{4} [/tex][tex] \sf4[/tex]4. (-13 , 20) and (-18 , 20)[tex] \sf \dfrac{20 - 20}{ - 13 - ( - 18)} [/tex][tex] \sf\dfrac{0}{ - 13 + 18} [/tex][tex]0[/tex]I hope it helps ~
___________________________________
[tex]꧁ \: \: \large \rm{kaul} \: ꧂[/tex]
If you roll two fair six-sided dice what is the probability that the sum is:
Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.
Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x
Let ‘x’ be the number on the first dice.
‘Y’ be the number on second dice.
We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.
Total number of possible results from two six-sided dice is 6 × 6 = 36.
The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).
Number of possible results for the sum is 5 or lower is 10.
The probability that the sum is 5 or lower = 10/36
=5/18
Therefore, the probability that the sum is 5 or lower is 5/18.
A bowl contains 675 sweets which are coloured either red, blue or green.
The ratio of red sweets to blue sweets is 3:
The ratio of blue sweets to green sweets is 4 : 5
Calculate the number of blue sweets that are in the bowl.
Answer:
252 blue sweets
Step-by-step explanation:
red : blue
3 : 7 ( x4 )
12 : 28
blue : green
4 : 5 ( x7 )
28 : 35
red : blue : green
12 : 28 : 35
12 + 28 + 35 = 75
Blue Sweets:
675 x 28/75 = 252
The world’s two highest dams are both in Tajikistan. The Rogun dam is 35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the height of the Nurek dam
Answer: Rogun dam is 335m tall and Nurek dam is 300m tall
Step-by-step explanation:
I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.
The system of equations is as follows:
[tex]r+n=635[/tex]
[tex]r-n=35[/tex]
From the second equation, we can rearange it to be:
[tex]r=35+n[/tex]
Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]
[tex](35+n)+n=635[/tex]
[tex]35+2n=635[/tex]
[tex]2n=600[/tex]
[tex]n=300[/tex]
This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:
[tex]r+300=635[/tex]
[tex]r=335[/tex]
Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.
Answer:
AC = 55°
Step-by-step explanation:
In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.
AC + AB + BD = CD
2AC +80 = 170
AC = 110/2 = 55
The measure of arc AC is 55°.
Answer:
AC = 55°
Step-by-step explanation:
because the measure is part of CD. Hope this helps!
Complete the two column proof
Answer:
Step-by-step explanation:
a. addition
b. division
c. given
D= 9/5C + 32, If the temperature is -15 degrees Celsius, what is the temperature in Fahrenheit degrees
Answer:
5
Step-by-step explanation:
plug in the numbers (-15x9/5)+35 PEMDAS.
567898765456787654567876567876+9999999999999999999999999999999
Answer:
1.05678988E31
Step-by-step explanation:
the system of equations are y=-2x=3 and y=x is graphed what is the soultions to the system of equations
Answer:
y=1
Step-by-step explanation:
Answer:
x=-1, y=-1
Step-by-step explanation:
Because -2x-3 and x are both equal to y, we set them equal to each other and solve for x:
-2x-3=x
-3=3x
-1=x
x=-1
So, because y=x, then y=-1 as well
or Question 5 i:
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£150
Hotel
Spending money
£50 for each day
£250
Work out the total cost of the holiday for 4 people for 7 days.
Answer:
the costs for the holiday for each person
£250
Step-by-step explanation:
So ,
£250 × 7 = 1,750
rewrite expression as a single power. 5^3/5^6
Answer:
1/125
Step-by-step explanation:
Simply subtract the exponents
in this case 6 - 3 so then its now 5 / 5^3
now just make the numerator a 1
1 / 5^3
5x5x5 = 125
1/125
Answer:
0.008
Step-by-step explanation:
i did 5 to the 3rd power which is 125
Then i did 5 to the 6 power and got 15625
finally I divided the answers and got 0.008 or in 125
Express each ratio as a fraction in simplest form.
2 gallons to 27 quarts
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
The given ratio is:
2 gallons to 27 quarts
This can also be written as:
2 gallons : 27 quarts
Convert 27 quarts to gallons so that both items in the ratio can be of equal unit
Note that:
1 quart = 0.25 gallons
27 quarts = 0.25 x 27
27 quarts = 6.75 gallons
The ratio can therefore be re-written as:
2 gallons : 6.75 gallons
In fraction form:
2 gallons : 27 quarts = 2/6.75
Multiply the numerator and denominator by 4
2 gallons : 27 quarts = 4/27
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
Learn more here: https://brainly.com/question/25843849
Question 25 of 55
Compare 5 and - 8. Which of the following is true?
O A. 15| > |-81 and 5 > -8
B. 151 > T-81 and 5<-8
O C. 151 = 1-8) and 5 >-8
O D. 151 < |-81 and 5 >-8
Plz answer it will be nice thanks
13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)
Answer:
y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]
Step-by-step explanation:
First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.
When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].
Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).
-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b
-1 = [tex]\frac{20}{3}[/tex] + b
b = -[tex]\frac{23}{3}[/tex]
After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].
What percentage is 19 marks
out of 50?
Answer:
38%
Step-by-step explanation:
Answer:
the answer is 38%
Step-by-step explanation:
multiply 19 by 2 because 50 is half of 100
Given h(x)=4x-1, solve for x when h(x)=-9
Step-by-step explanation:
h(x) = 4x - 1
given,
h(x) = -9
now,
h(-9) = 4(-9) - 1
→ -36 - 1
→ -37
hope this answer helps you dear, take care!
Answer:
x = - 2
Step-by-step explanation:
Given h(x) = 4x - 1 and h(x) = - 9, then equating right sides gives
4x - 1 = - 9 ( add 1 to both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
Nia needs 15 pieces of string each ½ of a inch long. She cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many more pieces of string does she need?
(repost) Please help! It involves inequalities! Also please include a number line.
Answer:
-5 ≤ x
Step-by-step explanation:
2(x -3) -5x ≤ 9 . . . . . given
2x -6 -5x ≤ 9 . . . . . . eliminate parentheses
-3x -6 ≤ 9 . . . . . . . . combine like terms
-6 ≤ 9 +3x . . . . . . . add 3x
-15 ≤ 3x . . . . . . . . subtract 9
-5 ≤ x . . . . . . . . . divide by 3
__
The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)
_____
Additional comment
Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...
-3x ≤ 15
Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...
x ≥ -5
Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.
johan earns $650 per week and works 48 hours a week. if he gets a free tax allowance of $8000, pays tax at a rate of 10% on the next $10000 and 20% on the rest. how much tax will he pay in a year?
Answer:
follow me on the gram (andrewa223) also the answer is a
Step-by-step explanation:
I need help with this. I'm so lost..
Answer:
1. Answer Is 33
2. Answer Is 25
3. Answer Is 33
Due in 1 min!!!! Please help!!!
Answer:
7^-25
Step-by-step explanation:
7^1/5^5
7^5^-1*5
7^5^-5
7^5*-5
7^-25
Answer:
7
Step-by-step explanation:
[tex](7^{\frac{1}{5}})^{5}[/tex]
[tex]7^{\frac{1}{5}*{5}[/tex] -- simply, (5 cancels)
7¹
7
The other option is 32
Answer:
32
Hope you could get an idea from here.
Doubt clarification - use comment section.
WILL GIVE BRAINLIEST
Answer:
1 ) the slope is -2/1 y-intersept is 7 therefore y=-2/1x+7 pt's (1,3) (-3,5)
2 ) the slope is 1/1 y-intersept is -4 therefore y=1/1x-4 pt's (-3,1)(-1,3)
Step-by-step explanation:
i hope this helps if you need more or still dont understand plz let me know! <3
y =mx(+or-)b
m,slope ,rise over run .
b,y-inersept the point that of witch it crosses the y axis.
Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.
Answer:
-13
Step-by-step explanation:
negative 13 = -13
Will Give Brainliest
Answer:
x = 19
Step-by-step explanation:
3x - 1 = 6 (x - 1)
I hope this helps!
Opposite angles are equal
[tex]\\ \sf\longmapsto 3x-3=6(x-10)[/tex]
[tex]\\ \sf\longmapsto 3x-3=6x-60[/tex]
[tex]\\ \sf\longmapsto 3x-6x=-60+3[/tex]
[tex]\\ \sf\longmapsto -3x=-57[/tex]
[tex]\\ \sf\longmapsto x=19[/tex]
Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.
Answer: He needs to splash the threes
Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer
What is:
9e−7=7e−11
Show Work
Answer: -2
Step-by-step explanation:
9e-7=7e-11
-7e -7e
2e-7=-11
+7 +7
2e=-4
/2 /2
e=-2