![Find A Point E On CD Such That The Ratio Of CE To CD Is [tex]\frac{3}{8}[/tex].](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/h2xlmK9EGVsmnt71pq9y7ohjPYWFHmpV.png)
Answers
Answer:
Sorry if it’s wrong. But I think the answer is: -3
Step-by-step explanation:
Formula:
E= x1 + a/b (x2 -x1)
E=-9 + 3/8(7+9)
E= -9 + 3/8(16)
E= -9 + 6
E= -3
The location of point E will be at negative 3. Then the correct option is C.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
The information is given below.
CE / CD = 3 / 8
CE / ED = 3 / 5 = m / n
Then the location of the point E will be
x = [3 × (7) + 5 × (-9)] / (3 + 5)
x = (21 - 45) / 8
x = - 24 / 8
x = -3
Thus, the location of point E will be at negative 3. Then the correct option is C.
More about the section of the line link is given below.
https://brainly.com/question/6582647
Related Questions
Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1
Answers
Answer:
8
2−x
=2
8^{2-x}=8^{1/3}8
2−x
=8
1/3
2-x=\dfrac{1}{3}2−x=
3
1
x=\dfrac{5}{3}x=
3
5
2.
(\dfrac{1}{2})^{x}<\dfrac{1}{8}(
2
1
)
x
<
8
1
(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(
2
1
)
x
<(
2
1
)
3
x>3x>3
3.
5^x=25^{x-2}5
x
=25
x−2
25^{x/2}=25^{x-2}25
x/2
=25
x−2
\dfrac{x}{2}=x-2
2
x
=x−2
\dfrac{x}{2}=2
2
x
=2
x=4x=4
4.
3^{x+2}\geq273
x+2
≥27
3^{x+2}\geq3^33
x+2
≥3
3
x+2\geq3x+2≥3
x\geq1x≥1
5.
4^{3x}=8^{x-1}4
3x
=8
x−1
2^{6x}=2^{3x-3}2
6x
=2
3x−3
6x=3x-36x=3x−3
3x=-33x=−3
x=-1x=−1
Step-by-step explanation:
ABC has side lengths 5 inches, 7 inches, and 10 inches.
JKL has side lengths 12
inches, 35 inches, and 37 inches. PQR has side lengths 13 inches, 10 inches, and 16
inches.
Answers
Answer: Obtuse, Right, Acute
Step-by-step explanation:
ABC: 5²+ 7² = 10²
25 + 49 = 100
c is greater so it is obtuse.
JKL: 12² + 35² = 37²
144 + 1225 = 1369
1369 = 1369
legs are equal to c so it is right.
PQR: 13² + 10² = 16²
169 + 100 + 256
269 = 256
c is less so it is acute.
The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.
Answers
HELP!! Will give brainliest
Answers
Answer:
my brother said it was
Step-by-step explanation:
1400.053...
a) The simplest form of 20
100
is _____________.
b) The mixed fraction of 80
9
is _____________.
c) When we convert 13 5
7
to an improper fraction, we get __________.
d) In a basket of 27 mangoes, 6 are rotten. This statement can be written as a fraction
as (give the answer in the simplest form) ___________.
Answers
prove that 4^2n + 10n − 1 is divisible by 25. [hint: binomial theorem]
Answers
Answer:
0
Step-by-step explanation:
4^2 + 10-1
16 + 10 - 1
26 - 1
25
25 divided by 25 = 0
Leah hangs 6 posters in a row, each 14 inches wide, on a bedroom wall. There are 4 inches between each poster. For the posters at each end, there are 3 inches between each poster and the end of the wall. What is an appropriate strategy for Leah to use to find the width of the wall?
Answers
Answer:
62 sq in of wall is covered
Step-by-step explanation:
6 x 14 = 84 -22 = 62
this is for the total
4 x 4 = 16
this is for the inches of the inside wall
2 x 3 = 6
this is for the inches of the outside wall
Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Leah must add the widths of all the places and posters to get the breadth of the wall, so the best course of action is:
Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall.
Thus, the appropriate strategy for Leah to use to find the width of the wall is Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.
Learn more about the rectangle here:
https://brainly.com/question/15019502
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PLEASE HELP!!! ASAP: Decide whether there is enough information to prove that m || n. If so, state the theorem you would use.
Answers
Answer:
Alternative Interior Angles Converse
Step-by-step explanation:
The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.
The pair of angles are Alternate exterior Angle.
What are Parallel lines?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
From the Figure we can see that m is parallel to n.
and, from the property of parallel line we get the following equal angles
Vertical AnglesCorresponding AngleAlternate Interior Angle.Alternate exterior Angle.As, from the figure the pair of angles are Alternate exterior Angle.
Learn more about Parallel line here:
https://brainly.com/question/16701300
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Please I need help I wasn’t at school today
Answers
what is the midpoint of-2,2 4,-1
Answers
Use the monthly payment formula to find the monthly payment for a $1,000, one year
loan at an APR of 7.5%
Answers
Step-by-step explanation:
The formula :
[tex]\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}[/tex]
where r is years ; N is the percentage by which we increase the price ; A is the original price
In our case :
[tex]\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}[/tex]
Then the monthly salary is equal to:
[tex]\dfrac{1075}{12} \approx 89,58 \$[/tex]
Student Council sells bottled water at the cheerleading completion. At this rate, how many cases of bottled water would they sell in 3 hours? ________________________
Cases Sold: 3 and 6
Time (minutes): 20 and 40
Answers
Answer:
27
Step-by-step explanation:
Lets find the rate of selling:
Let v= the rate of selling, b = number of bottles of water, and t = time:
b over t gives us the [tex]v=\frac{b}{t}=\frac{3}{20}=\frac{6}{40}=0.15[/tex] rate of selling:
3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:
(0.15) * 180 = 27 bottles of water
What single percentage change is equivalent to a 14% increase followed by a 11% decrease?
Options:
4.54% decrease
26.54% increase
4.54% increase
1.46% decrease
26.54% decrease
1.46% increase
Answers
Answer:
1.46%
Step-by-step explanation:
Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.
help pls don't get it wrong I have an election tmr to see if I have good grades pls help
Answers
BTW,,
[tex]join \: bunny \: squad[/tex]
[tex]just \: comment \: if \: you \: want[/tex]
#bunnysquad
#bunnysquadinbrainly
Answer:
pls mark my brainliest because you didn't wriitten coorect question
Step-by-step explanation:
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
(a) Show that k satisfies k^2+2k-3>0
Answers
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
How to prove the expressionTo have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;
Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.
In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0
Learn about quadratic equations at: https://brainly.com/question/1214333
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please help me !!! and thank youu !
Answers
Answer:
a=-3
b=-63
c= 2
d=8
e=9
f=128
h=-21
i=24
Step-by-step explanation:
Si el punto (5,0) está en una gráfica, żes (5,0)
la intersección con el eje y de la gráfica? Explica
Answers
Answer:
Can you put it in English pls..
Step-by-step explanation:
Will mark as brainlist
The title of the poem, "Poetry and Prose, 'is an example of antonyms. Poetry and prose are "opposite' ways of writing.
Search the poem to find the other antonym pairs. Ust the words in the order that they appear in the poem. There are
seven more pairs. Separate each word with a comma. For example: poetry, prose.
If it isn't a poem. It's prose:
And friends cannot be foes.
A package not heavy is light.
And after the day comes night.
if it's ap. it can't be down:
The country is never a town.
When asleep we aren't awake:
To give is never to take
Answers
ah, yes, college mathematics. how riveting
poem, prose
friends, foes
heavy, light
day, night
up, down
country, town
asleep, awake
give, take
I truly commend you on your pursuit of such higher level mathematics studies. Good luck!
HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.
Answers
[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]
Step-by-step explanation:
Given fractional expression:
(4x+3)/5 = (8x-1)/9
By doing cross multiplication, we get
⇛4x(9) + 3(9) = 8x(5) - 1(5)
⇛36x + 27 = 40x - 5
Now, combine the like terms in one side.
⇛27x - 40x = -5 + 36
⇛-13x = 31
⇛x = 31/-13 Ans.
what is the cost of insurance for a female at 50 as a percentage of the same insurance for a male in his 30s female cost $819.73 the male's rate would be $1,192.64?
Answers
5551-525152+62626626×552526
solve it.
Answers
Answer:
=34602838637675
Step-by-step explanation:
=−519601+(62626626)(552526)
=−519601+34602839157276
=34602838637675
Write 1000 as a power of 10
Answers
Please help I’ll give brainliest
Answers
Answer:
ITS D GOOD LUCK WITH YOUR HMK
Dave determines the meal he ordered at the restaurant contains 29% of his daily
sodium intake. If the meal contains 251 mg of sodium, how many mg of sodium are in
Dave's daily diet?
Answers
36. The girls' gym teacher needs to purchase
15 softballs, 5 packages of tennis balls,
and 2 soccer balls. She plans to collect
$1 from each of her 15 students to help
pay for the balls. Write and evaluate an
expression to show how much more the
teacher will have to pay.
Help
Answers
Answer:Message me for full answer
Step-by-step explanation:
Show your work. -2.5(4x -4) = -6
Answers
Answer:
x = 1 3/5
Step-by-step explanation:
distribute.
-2.5*4x + (-2.5*-4) = -6
-10x +10 = -6
subtract 10 on both sides
-10x = -6 -10
divide by -10
x = -16/-10
x = 1 3/5
Can somebody help me as soon as possible?
Answers
Answer:
2400
Step-by-step explanation:
y= -300x + 2400
-300 equals the slope
2400 is the y-intercept
Equation: y = mx + b
By which rule are these triangles congruent?
Answers
Answer:
S, S, S
Step-by-step explanation:
to the nearest 0.01cm3, what is the volume of this sphere?
Answers
Answer: Calculate the sphere volume, the volume of a spherical cap or of a hemisphere thanks to this sphere volume calculator.
The picture shows a sandwich box:
A sandwich box is shown with a right triangle side. The right triangle has hypotenuse 14 cm and base 12 cm.
What is the approximate minimum height of a shelf in which this box can fit in the position shown in the pi
Answers
Answer:
the answer is 7.2 cm
Step-by-step explanation:
14^2 is 196
12^2 is 144
196 - 144 = 52
square root of 52 = 7.2
also i did FLVS & got it right lol