Answer:
[tex]P = (\frac{8}{3},\frac{11}{3})[/tex]
Step-by-step explanation:
Given
[tex]X = (1,2)[/tex]
[tex]Y = (6,7)[/tex]
Required
The point at 1/3 of XY
If the point is at 1/3 for X, then the other end (to Y) is 2/3
So, we have:
[tex]m:n = 1/3:2/3[/tex]
Multiply by 3
[tex]m:n = 1:2[/tex]
The point (P) is calculated using:
[tex]P = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
This gives:
[tex]P = (\frac{1*6 + 2*1}{1+2},\frac{1*7 + 2*2}{1+2})[/tex]
[tex]P = (\frac{8}{3},\frac{11}{3})[/tex]
Use substitution to solve the
following system of equations.
-3x + 2y = 5 AND x = 2y - 3
Step-by-step explanation:
everything can be found in the picture
What is the square unit of this figure?
Answer:
58
Step-by-step explanation:
Area = Area of entire recangle - area of cut out
a = (10 * 7) - (6 * 2)
a = 70 - 12
a = 58
ILL GIVE YOU BRAINLIEST IF ANSWERED RIGHT!!!! If the quadratic equation has the form y = ax ^2and y = ax ^2+ c, then their axis of symmetry must always be?
Answer:
x = 0
Step-by-step explanation:
The axis of the symmetry has the same x coordinate of the vertex
V (x) = -b/2a
in both equations b is equal to 0 and a 0/a number different from 0 gives always 0 as a result
2 x10^14/8x10^9
How do you solve
Answer:
Step-by-step explanation:
[tex]\frac{2*10^{14}}{8*10^{9}}=\frac{1}{4}*10^{14-9}=\frac{1}{4}*10^{5}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
In exponent division , if bases are same, then find the difference of the exponents
State of the two triangles are congruent
Answer:
ans:
5. Hl
6. Hl
7. ASA
8. AAS
Step-by-step explanation:
use different axiom for congurency
SASRHSAASSSAASASSSA rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run?
Answer:
119 or 118.726577
Step-by-step explanation:
We should use the Pythagorean Theorem to solve this problem.
a^2+ b^2=c^2
64^2+100^2=c^2
4096+10000=14096
c^2=14096
c=\sqrt{14096}14096
And the root of 14096 is 118.726577.
So the Answer is About 119 meters, or 118.726577
hope this helps!
What are the factors of x^2 + 8x + 12?
Answer:
(x+2)(x+6)
Step-by-step explanation:
that is the answer because math
=>x^2+8x+12
=>x^2+6x+2x+12
=>x(x+6)+2(x+6)
=>(x+6)(x+2)
Hope it helps you
A Jar contains five red marbles and three green marble. A marble is drawn at random and not replaced. A second marble is
then drawn form the jar
find the probability that both marbles are red
Answer:
20/56 or 5/14
Step-by-step explanation:
Prob of red = 5/8
Second red prob = 4/7
multiply those = 20/56
simplify if needed = 5/14
Using the box method solve (x-4)(5x+3
Answer:
= X(5x+3)-4(5x+3)
= 5x²+ 3x- 20x-12
= 5x²-17x-12
Answer:
5x(squared)-17x-20
Step-by-step explanation:
enter a negitive number that has an absolute value greater than 10
Answer:
|-11 |
Step-by-step explanation:
Imperial measurements help please
Answer:
1. a. miles or feet
b. inches
c. ounces
d. gallons
2. a. 1:36
b. 1/1
c. 63,360
Step-by-step explanation:
Which square—large, medium, or small—covers more of the plane? In 2-3 sentences, explain your reasoning for choosing the large, medium or small square.
Answer:
The large square covers more
Step-by-step explanation:
Given
See attachment for squares
Required
Which covers more plane
The large square has the highest dimension and by extension, it has the highest area.
This means that, less large squares will be needed to cover more areas compared to other sizes of the squares.
Take for instance, the following analysis;
Large square
Dimension: 3 by 3;
[tex]Area=3*3 = 9[/tex]
Medium Square
Dimension: 2 by 2
[tex]Area = 2 * 2 = 4[/tex]
Small square
Dimension: 1 by 1
[tex]Area = 1 * 1 = 1[/tex]
The square with the largest area covers more of the plane.
Hence, the large square covers more of the plane
Explain how to determine the long term (end) behavior of the following two polynomials:
cubic polynomial with negative leading coefficient like y=-2x^3+3x^2+x+1;
quartic polynomial with positive leading coefficient like y=5x^4+3x^2+4x+9.
Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
I really really need help on this, please help me
Write an algebraic inequality. A number increased by three is less than twice that number.
what percentage of this 100 square grid is shaded. PLease i will mark your brainlist
if x=8 and y=-3 evaluate 7(2x-3y)
Answer:
175
Step-by-step explanation:
7(2x-3y)
Let x = 8 and y = -3
7(2*8-3 (-3))
Inside parentheses first
7(16+9)
Add inside the parentheses
7(25)
Multiply
175
the equation 3x square -12x+(n-5)=0 has equal roots find the value of n
Answer:
n = 17
Step-by-step explanation:
For a quadratic equation to have equal roots b²-4ac should be equal to zero in the quadratic equation ax²+bx+c=0.
Equation : 3x² - 12 x + ( n - 5) = 0
a = 3, b = -12, c = ( n - 5)
b² - 4ac = 0
(-12)² - (4 x 3 x (n - 5)) = 0
144 - 12( n - 5 ) = 0
12( n - 5 ) = 144
n - 5 = 12
n = 17
Check if it's true :
3x² - 12 x + ( 17 - 5) = 0
3x² - 12 x + 12 = 0
3(x² - 4x + 4) = 0
(x² - 4x + 4) = 0
(x - 2)(x - 2) = 0
x = 2 , 2
Equal roots .
Find the surface area of a cylinder that has the following information:
Height = 30 cm
Diameter = 10 cm
Answer:
[tex]A=1099.56cm^{2}[/tex]
Step-by-step explanation:
Formula to ind surface area of cylinder:
[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]
[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]
[tex]A=1099.557443cm^{2}[/tex]
Therefore, area will be:
[tex]A=1099.56cm^{2}[/tex]
hope this helps :)
how to convert centimeters to
decameter?
2,250 cm =______ decameter?
Each lap around the track at Lincoln Community Center is 400 meters long. Levi ran a total of 1,600 meters as a warm-up before his workout. Let w be the number of laps Levi ran around the track as a warm-up. Write and solve an equation to find w.
Answer:
Step-by-step explanation:
The solution is 4 laps
The number of laps ran by Levi is given by the equation w = 4 laps
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps ran by Levi be represented as w
Now , the equation will be
The total length of a lap = 400 m
The total length ran by Levi = 1600 m
So ,
The number of laps w ran by Levi = total length ran by Levi / total length of a lap
Substituting the values in the equation , we get
The number of laps ran by Levi w = 1600 / 400
On simplifying the equation , we get
The number of laps ran by Levi w = 4 laps
Therefore , the value of w is 4 laps
Hence , the number of laps is 4 laps
To learn more about equations click :
https://brainly.com/question/19297665
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A line has a slope of -8 and includes the points (-10, 0) and (-9, z). What is the value of Z?
Answer:
Step-by-step explanation:
Let L be the given line, then, with a slope of -8
L : y = -8x + b
where b is to be determined from the included point A(-10,0).
Substitute point A in L to get
0 = -8 (-10) + b
solve to get
b = -80
therefore
L : y = -8x -80
Now substitute B(-9,z) in L
z = -8(-9) - 80 = -8
which ratio is equivalent to the ratio 2:52
Answer:
1:26
Step-by-step explanation:
You can divide both sides by 2.
Can some hepl I divide 2 by 2 I give brainiest
Answer:
1
Step-by-step explanation:
2÷2=1
3{4-2(3+4)} solve and show your work
Answer:
Step-by-step explanation:
You could start by using pemdas which start with parentheses so since 3+4 is in parentheses add those first and you'll get 7 then solve the remaining 4-2 in the bracket so 4-2 is 2. Since there is no plus sign you multiply 7 by 2 then multiply by three so 7x2 is 14 then 14x3 is 42 so your answer Is 42
Given the function g(x) = x^3 − x, what is the value of g(3)?
Answer:
24
Step-by-step explanation:
3^3=27
27-3=24
Answer:
value of g(3) is 24
Step-by-step explanation:
3^3 which also equals 27 -3 which has a total of 24
When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
is a step in the process?
Lets Solve
[tex] \\ \rm \longmapsto \: {x}^{2} - 8x - 7 = 0 \\ \\ \rm \longmapsto \: {x}^{2} - 8 {}^{}x = 7 \\ \\ \rm \longmapsto \: 4( {x}^{2} - 8x) = 4 \times 7 \\ \\ \rm \longmapsto \: {4x}^{2} - 32x = 28 \\ \\ \rm \longmapsto \: {(2x)}^{2} - 2 \times 2x \times 8 = 28 \\ \\ \rm \longmapsto \: (2x) {}^{2} - 2 \times 2x \times 8 + {8}^{2} = 28 + {8}^{2} \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 64 + 28 \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 92 \\ \\ \rm \longmapsto \: 2x - 8 = \underline{ + }9.3 \\ \\ \rm \longmapsto \:2x = 8 + 9.3 \: or \: 8 - 9.3 \\ \\ \rm \longmapsto \:2x = 17.3 \:or \: - 1.3 \\ \\ \rm \longmapsto \:2x = 17.3 \\ \\ \rm \longmapsto \:x = \frac{17.3}{2} \\ \\ \rm \longmapsto x = \:8.6[/tex]
Ignore negative valueMario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs?
Answer:
10 minutes
Step-by-step explanation:
Mario can eat e21 hot dog in 6 minutes
Let 35 hot dog eats in x minutes :
[tex]\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min[/tex]
Therefore, mario would eat 35 dogs in 10 min.
7 times 8 help pls I am sorry for a wasteful
Answer:
56
Step-by-step explanation:
Think of it this way, 7 times 10 is 70.
7*8 is 2 less 7s, or 14 less.
70-14=56
Or, a simpler way:
7*7 is 49(perfect square)
One more seven than that is 56.
These are just two ways I quikcly remember, because for some reason I struggle with 7 and 8 mulitplication.
Hope this helps!
Answer:
56Step-by-step explanation:
according to the multiplication table
7 times 8'gives 56
Informal settlers who live nearby coastal areas and river side throw away about 4 million disposable diapers per year. how many diapers are thrown away each month??.
need help ༼ つ ◕_◕ ༽つ
Answer:
333,333 Three hundred and thirty-three thousand , three hundred and thirty-three
Step-by-step explanation:
4000000/12
