Answer:
[tex]B(x_2,y_2)= (20,12)[/tex]
Step-by-step explanation:
Given
[tex]A = (0,0)[/tex]
[tex]Ratio; m : n = 1 : 3[/tex]
[tex]Point\ at\ 1 : 3 = (5,3)[/tex]
Required
Coordinates of B
This question will be answered using line ratio formula;
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
In this case:
[tex](x,y) = (5,3)[/tex]
[tex](x_1,y_1) = (0,0)[/tex]
[tex]m : n = 1 : 3[/tex]
Solving for [tex](x_2,y_2)[/tex]
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex] becomes
[tex](5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})[/tex]
[tex](5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})[/tex]
[tex](5,3) = (\frac{x_2}{4},\frac{y_2}{4})[/tex]
Comparing the right hand side to the left;
[tex]\frac{x_2}{4} = 5[/tex] -- (1)
[tex]\frac{y_2}{4} = 3[/tex] -- (2)
Solving (1)
[tex]x_2 = 5 * 4[/tex]
[tex]x_2 = 20[/tex]
Solving (2)
[tex]y_2 = 3 * 4[/tex]
[tex]y_2 = 12[/tex]
Hence;
[tex]B(x_2,y_2)= (20,12)[/tex]
find the value of x so that f (x)=7
Answer:
i think its 24
Step-by-step explanation:
what is the distance between (8, -3) and (4, -7
Answer: I HOPE IT HELPS
Step-by-step explanation:6
√
2
≈
8.49
to 2 decimal places
Explanation:
Calculate the distance ( d ) using the
distance formula
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
where
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
are 2 coordinate points
The 2 points here are (-8 ,4) and (-2 ,-2)
let
(
x
1
,
y
1
)
=
(
−
8
,
4
)
and
(
x
2
,
y
2
)
=
(
−
2
,
−
2
)
d
=
√
(
−
2
+
8
)
2
+
(
−
2
−
4
)
2
=
√
36
+
36
=
√
72
x
=
√
36
×
2
=
√
36
×
√
2
=
6
√
2
≈
8.49
If g(x) = 3x^2+2x-1. Find g(-1).
Step-by-step explanation:
g(x) = 3x² + 2x - 1
g(-1) = 3(-1)² + 2(-1) - 1
= 3(1) -2 -1
= 3 - 3
= 0
Is 0 a real, imaginary, or complex number?
Answer: 0 is a imaginary number
Step-by-step explanation:
If a 48-gram serving of pasta contains 6 g of protein, how many grams of protein are in a 908-gram box of the pasta?
Answer:
i believe the answer is 114g of protein. i hope this helps
Step-by-step explanation:
Craig has acollection of 220 marbles. He lets his friend have 1/4 of his collection and sells 1/5 of his collection to the novelty store. He takes 15 marbles home to give to his brother. how many marbles remain in Craig's collection?
Answer:
he would have 106
Step-by-step explanation:
hope it helps
Is this relation a function?
Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?
Answer:
She can paint 1 1/2 of a room
Step-by-step explanation:
I believe...
Answer:
8/9
its just simple equations
you do 2/3 divided by 3/4 for the unit rate.
Find the area of a square with a side of length 2 Square root of 3+6 square root of 7 inches
Answer:
(264+24√21) in²Step-by-step explanation:
Area of a square = Length * Length
A = L²
Given the length of a square as [tex]2\sqrt{3}+6\sqrt{7}[/tex] inches' The area of the square will be calculated as shown;
[tex]A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}[/tex]
Hence the area of the square is (264+24√21) in²
simplify the following equation: (5 + 3)²
Answer:
64
Step-by-step explanation:
5+3=8
8*8=64
Answer:
the answer is 64
Step-by-step explanation:
Nick mowed about 3/5 of the school lawn yesterday. The mowed another 1/4 of the remaining portion of the lawn this morning. How much is left to mow?
Help ASAP!!!!!!!!!!!!!!!!!!!!
Which statement is true?
A. 3 2/5 < 2 4/5
B. 2/3 > 1 7/3
C. 4 1/4 > 2 3/4
D. 1/2 < 1/4
Answer: C. 4 1/4 > 2 3/4
Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.
- Lizzy ˚ʚ♡ɞ˚
what is the difference between 9 - 4 1/5
Hey there!☺
[tex]Answer:\boxed{4\frac{4}{5}}[/tex]
[tex]Explanation:[/tex]
[tex]9-4\frac{1}{5}[/tex]
Subtract the whole number by the fraction.
[tex]\frac{24}{5}[/tex]
24/5 needs to be simplified so we will rewrite it like this:
[tex]4\frac{4}{5}[/tex]
Hope this helps!
Name (Templatel 09.09.2020 - Assignment 004 NAME Assignment 004 - Dividing Fra Divide Fraction by Fraction Divide. Write in simplest form. 2/3÷4/5
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5
2/3 × 5/4
10/12
5/6
the temperature dropped from 44 degree to -56 degree. what was the change in tempreture
which unit represents 0.01 liters
Answer:1 centiliter
Step-by-step explanation:1 centiliter equals 0.01 liters
State the domain and range in interval notation
Ifa student wanted to design an experiment that uses sound scientific principles, which of the following
should he or she not do?
A. Start with a hypothesis
B.Test more than one variable at a time
C.Record data in a table
D. compare results with others
Answer:
the answer is B
Step-by-step explanation:
-2x^2+8x-9+4x+7x^2+2
Answer:
Add like terms
Step-by-step explanation:
You want to combine the squared, the variables, and the constants.
Combine -2x^2 and 7x^2 to get 5x^2
Then combine 8x and 4x which is 12x
Then combine -9 and +2 which is -7.
You should get 5x^2 + 12x - 7.
Keep in mind you can only combine like terms that are in the same equals barrier
For example: You can combine 8x + 3 + 2x = 0
but not 8x +3 = 2x +0 because they are on different sides of the equal sign.
If I spent $3.87 on grapes at Tom Thumb and I bought 3.05 pounds. How much was each pound?
(round to the nearest hundredths place because it is money)
Answer:
$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though
Step-by-step explanation:
You would divide 3.05 by itself to get one pound
and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.
3.87÷3.05=1.268852459
Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.
The probability that an event will happen is P(E)=
34/41.
Find the probability that the event will not happen.
Answer:
7/41
Step-by-step explanation:
There is a 34/41 probability that this event will happen so to find the probability of which the event will not happen, the subtract 34 from 41 to get your answer.
41-34=7
Therefore, 7/41 is the answer.
Ps. is the P(E) included in the main question? if it is, the the answer might differ from the one I am giving you.
8=3/2(9x-6) and explain
Exact Form: 34/27
Mixed Number Form: 1 7/27 (one and seven twenty-sevenths)
Decimal Form: 1.259... (never ending)
Isolate the variable by dividing each side by factors that don't contain the variable.
PLZZZZ HELP WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
Unlikeley: 0.6
likely: 0.35
Impossible: 0
Certain: 0.5
Equally: 0.9
unlikely: 1
Hope This Helps! :)
someone help me answer this plzzzzz
Answer:
Step-by-step explanation:
r = (x co-efficient ÷ 2)²
r = (6/2)² = 3²
r = 9
s = - 2r
s = -2*9 = -18
Can someone rewrite the expression x^2 * x^-12 in the form of x^n. Pleasee
Answer:
x^ -10 or 1/x^10
Step-by-step explanation:
3≤7+g what does g equal?
Answer:
-4
Step-by-step explanation:
Solve this like a normal equation. Pretend the ≤ is an equal sign. Then isolate the variable. Subtract 7 from both sides, and that will give you -4
Pls, Help! I need this today!
Answer:
see below
Step-by-step explanation:
5/6 + ( -1 1/6)
Changing the mixed number
5/6 + - (6/6 +1/6)
5/6 + ( -7/6)
-2/6
Simplify
-1/3
Since these are divided into 6 pieces, go two pieces to the left of zero.
which value for x makes the sentence true? 1/40 + x = 1/8
Answer:
x = 1/10
Step-by-step explanation:
1/40 + x = 1/8
Subtract 1/40 from each side
1/40-1/40 + x = 1/8-1/40
x = 1/8 - 1/40
Get a common denominator
x = 1/8 *5/5 - 1/40
x = 5/40 - 1/40
x = 4/40
Simplify
x = 1/10
8•1,000+1•1+5•100+4•10,000+8•10 standard form
Answer:
48581
Step-by-step explanation:
Answer:
48581
Step-by-step explanation: