Answer:
[tex] y = -\dfrac{11}{2}x - 52 [/tex]
Step-by-step explanation:
Line through points (-10, 3) and (-8, -8).
slope = (-8 - 3)/(-8 - (-10)) = -11/2
y = mx + b
y = (-11/2)x + b
-8 = (-11/2)(-8) + b
-8 = 44 + b
b = -52
y = (-11/2)x - 52
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope fo the line passing through (-10,3) and (−8, -8) is
Slope, m = (-8-3)/(-8+10) = -11/2
Now, equate a point in the equation,
3 = -10(-11/2) + C
3 = 55 + C
c = -52
Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.
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2. Scholarships The probability that Samantha will be accepted by the college of her choice and
obtain a scholarship is 0.35. if the probability that she is accepted by the college is 0.65.
Find the probability that she will obtain a scholarship given that she is accepted by the college.
(4 pts)
The probability that she will obtain a scholarship given that she is accepted by the college is 0.54.
Given that the probability that Samantha will be accepted by the college of her choice and obtain a scholarship is 0.35, to determine, if the probability that she is accepted by the college is 0.65, the probability that she will obtain a scholarship given that she is accepted by the college, the following calculation must be performed:
0.65X = 0.35 X = 0.35 / 0.65 X = 0.538
Therefore, the probability that she will obtain a scholarship given that she is accepted by the college is 0.54.
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Help help help help please business
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
[tex]2x+20=3x-15[/tex]
Then, just solve for x:
[tex]20=x-15\\35=x\\x=35[/tex]
You can check that by plugging it back into both:
[tex]2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90[/tex]
Answer:
x = 35
Step-by-step explanation:
The angles shown are corresponding angles
Corresponding angles are congruent ( equal to each other )
This means that 2x + 20 should equal 3x - 15
Note that we've just created an equation that we can use to solve for x
We know use that equation to solve for x
2x + 20 = 3x - 15
add 15 to both sides
2x + 35 = 3x
subtract 2x from both sides
35 = x
And we are done!
if a + b equal to pi by 4 then prove that 1 + cot a into 1 + cot B equal to 2 into cot a into cot b
Answer:
(cotA − 1) (cotB − 1) = 2
Step-by-step explanation:
A+B= π/4 = 180°/4 = 45°
A+B=45°
∴ cot(A+B)=cot45°
∴ cotBcotA−1 / (cotB+cotA) = 1
⇒cotB + cotA = cotBcotA = 1
⇒cotB + cotA − cotBcotA + 1 = 0
⇒cotBcotA − cotB − cotA − 1 = 0
⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2
⇒cotBcotA − cotB − cotA + 1 = 2
⇒cotB(cotA − 1) (cotA − 1) = 2
⇒(cotA − 1) (cotB − 1) = 2
Proved
A geologist examining a road cut at this location would recognize that Layer A is
than Layer B. This conclusion is made through the principle of
This conclusion is made through the Principle of Lateral Continuity.
The statement made is that "A geologist examining a road cut at this location would recognize that Layer A is older than Layer B."
The principle that guides this observation is that of lateral continuity which states that layers of sediment extend laterally in all directions.
This means that the new layer B is simply an extension of the older layer A.
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Answer:
Younger, superposition
Step-by-step explanation:
The first answer is younger, because for one, it's on the top of the ground sequence, and two because the second question options all prove that answer and not the "older" one.
The second answer is superposition, which states that it goes oldest to youngest from base up.
-Lexi
PLEASE HELP WILL MARK BRAINIEST!!!!!!!!
Answer:
A.
Step-by-step explanation:
A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert. Cus
4 drinks, 5 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... w different dinner combo meals.
1
2
3
4
Choose...
12
45
60
75
5
6
7
Answer:
Your Answer Is 60
Step-by-step explanation:
I Took The Test Just Now
The number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!. Here, n is the number of objects.
A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert.
Dinner includes 4 drinks,5 main types of dishes.3 types of desserts.The number of different combo meals are possible can be find out by simply multiplying all the meals. Thus,
[tex]n=4\times5\times3\\n=60[/tex]
Thus, the number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.
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*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Jasper won the raffle at the zoo and gets to feed the dolphins! The dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins. Each dolphin gets 3 fish.
Which equation can you use to find the number of fish f in the bucket before Jasper feeds the dolphins?
Solve this equation for f to find the number of fish in the bucket before Jasper feeds the dolphins.
fish
The number of fish in the bucket before Jasper feeds the dolphins was 12.
Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:
Number of dolphins = D Fish for each dolphin = E Total fish = F D x E = F 4 x 3 = F 12 = F
Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.
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Pls help i neeed to get my grade up badly
Step-by-step explanation:
12 - 1/2r = ( 13 - 3/2r ) - ( 1 - r )
r - 13/6 = ( 7r - 3/2 ) - ( 2/3 + 6r )
13r + 20 = ( 6r + 7 ) + ( 13 + 7r )
-12 + r = ( -8 - r ) + ( 2r - 4 )
Owen and Arianna are helping their friend Benjamin move. Owen can move one box for every two boxes that Arianna can move. If Owen moves twelve boxes, how many boxes can Arianna move?
Answer:
Ariana can move 24 boxes. Hope this helps.
Pls give brainliest. :D
What is the answer to the question. Solve for x
Answer:
Answer:
[tex]x=\frac{75}2[/tex]
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]
122 is what percent of 145?
Answer:
84.1379%
Step-by-step explanation:
122 / 145 = 0.841379
(0.841379)(100) = 84.1379%
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
89) no 90) yes 91) yes 92) yes 93) yes
Step-by-step explanation:
use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)
I will give brainliest
Answer:
Equations 1 & 3 are correct.
Explanation:
Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.
Answer:
1 and 3 are correct
Step-by-step explanation:
Un multiplu de două cifre, diferit de 24, al numărului 24 este........................
VA ROG REPEDE DAU COROANA
Answer:
Un multiplu de două cifre, diferit de 24, al numărului 24 este 48
Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.
Answer:
Diego's result is the same as Noah's result.
Step-by-step explanation:
Noah: 5+5+5+5=20
Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20
A.
x y
0 3
1 5
2 7
3 9
4 11
B.
x y
0 0
1 6
2 12
3 18
4 24
C.
x y
0 0
1 -3
2 -6
3 -9
4 -12
D.
x y
0 1
1 3
2 6
3 10
4 15
Which table(s) show x and y in DIRECT PROPORTION?
A)A and B only
B)B and C only
C)C and D only
D)D and A only
Answer:)
Step-by-step explanation:
SOMEBODY HELP NO LINKS PLZ AND THANK YOU
The cost of a dog walker for n hours is given by f(n)=5 +10n. Which statement is true
A for each additional hour of service, the price of the dog walker increases by $ 15
B for each additional hour of service, the price of the dog walker increases by $5
C for each additional hour of service, the price of the dog walker increases by $10
D for each additional hour of service, the price of the dog walker decreases by $10
Answer:
C for each additional hour of service, the price of the dog walker increases by $10
Step-by-step explanation:
substitute any hour in f(n)=5+10n
for example, 1hr is 5+10×1=$15
2hr is 5+10×2=$25
3hr is 5+10×3=$35
4hr is 5+10×4=$45
and so on....
you can see that the price increases every $10
20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4: _______________ _______________
The value of x from the given equation is -1
Given the equation expressed as:
[tex]3(x - 10) - 5x = 2x - 26[/tex]
Expand using the distributive law as shown:
3x - 3(10) - 5x = 2x - 26
3x - 30 - 5x = 2x - 26
Collect the like terms to have:
3x - 5x - 2x = -26 + 30
-2x - 2x = -26 + 30
Simplify the result by addition and subtraction:
-4x = 4
Divide both sides by -4 (Division property of equality)
-4x/-4 = 4/-4
x = -1
Hence the value of x from the given equation is -1
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The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers
Larger number: Smaller number:
Answer:
S 25, L 41
Step-by-step explanation:
Small + Large = 66
Large = Small + 16
s + (s + 16) = 66
2s + 16 = 66
2s = 50
s = 25
25 + Large = 66
Large = 41
Simplify 1.25 (-x -4)
Answer:
1.25(-xsquare - 8x + 16)
Step-by-step explanation:
pls give me brainliest
I'm not sure but I think so
A watch band is 8 in long. What is its diameter when you wrap it around your wrist? Round your answer to the nearest
hundredths.
Please be accurate and explain.
Answer:
well, all you need to do is 8 x 3.14 so then you shall get your answer!
Step-by-step explanation:
its suppolsy the hardest question in math
Answer:
E
Step-by-step explanation:
[tex]\sqrt{\dfrac{64}{49}} = \dfrac{\sqrt{64}}{\sqrt{49}} = \dfrac 87[/tex]
Answer:
E
Step-by-step explanation:
PLEASE HELP ME:))
what’s the value of x?
\[tex]\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}[/tex]
x²- 8x-9=0 i need some help over here
Answer:
(x+1)(x-9)
Step-by-step explanation:
Break the equation: x²- 8x-9=0 into groups:
([tex]x^{2}[/tex]+x)+(-9x-9)
Factor X out of [tex]x^{2}[/tex]+x: x(x+1)
Then Facor -9 out of (-9x-9): -9(x-1)
This means that you can simplify these 2 equations: (x-9) & (x+1)
So your answer is: (x+1)(x-9)
what is 2 + 2 no one in my class can get it my teacher says its the hardest question I want to look smart please help
Answer:
4
Step-by-step explanation:
use your fingers and count 2 fingers then put 2 more up and count how many u got then. boom u got 4
Can someone please explain step by step on how to do times fractions? Like for an a example!
4/5 • 2/3 ?
Of course!
First, you'll need to line up both of your fractions, there's no need to have common denominators because you'll be multiplying straight across.
Next, multiply both numerators together straight across, then denominators.
4·2= 8
5·3= 15
Most fractions will need simplified after you've multiplied your fractions, but your product (8/15) doesn't need simplified since there's no common factors with 8 and 15, or a relationship.
Answer: 8 / 15
What is the answer to the question. Solve for x
Answer:
[tex]x=\frac{75}2[/tex]
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]
What is 10³?
10
100
1000
Answer:
1000
Step-by-step explanation:
Answer: 1000, hope it helps.
Step-by-step explanation:
Las medidas de posición dividen una distribución ordenada en grupos con la misma cantidad de datos.
Answer:
no entiendo tu pregunta xD !?
Answer:HOLA
Step-by-step explanation:Mi casa su casa , come estas , si uno
Please look for the question in the picture.
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]
[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]
[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]
[tex]\frac{1x}{4} =\frac{10}{5}[/tex]
Use cross multiplication.
[tex]5x=4*10[/tex]
[tex]5x=40[/tex]
[tex]\frac{5x}{5}=\frac{40}{5}[/tex]
[tex]x=8[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello There!
Question:-
[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]
We need to find the value of x.
Solution:-
Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-
[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]
Add 3/5 to both sides:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]
[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]
Multiply both sides by 4 :-
[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]
On Simplification:-
[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]
[tex]\sf \longmapsto \: x = 8[/tex]
______________________________________
Henceforth,The value of x is :-
[tex] \boxed{ \huge\bf \: x = 8}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian