Answer:
A 1:3
Step-by-step explanation:
Point P(-1, -12/5) partitions the line segment AB in the ratio of 2:1, which is calculated using the section formula in coordinate geometry.
To determine the ratio at which point P partitions AB, we can use the concept of section formula in coordinate geometry. The section formula states that if a point P(x, y) divides the line segment AB in the ratio m:n, then its coordinates are given by:
[tex]\[ x = \frac{mx_2 + nx_1}{m + n} \quad \text{and} \quad y = \frac{my_2 + ny_1}{m + n} \][/tex]
Substituting the given coordinates of A(-3, -4), B(2, 0), and P(-1, -12/5), we can form two equations with the unknowns m and n. Solving for m and n will give us the required ratio.
[tex]\[ -1 = \frac{m \cdot 2 + n \cdot (-3)}{m + n} \text{ and } (-\frac{12}{5}) = \frac{m \cdot 0 + n \cdot (-4)}{m + n} \][/tex]
Solving the equations, we find m = 2 and n = 1, meaning P divides AB in the ratio of 2:1, which is option B.
2x + y = 3 x - 2y = -1 If equation two is multiplied by -2 and then the equations are added, the result is _____. -3y = 3 3y = 5 5y = 5
Answer:
5y=5
Step-by-step explanation:
Given equations
2x + y = 3 (i)
x - 2y = -1 (ii)
Multiplying equation (ii) by -2
Both sides of equation will be multiplies by -2.
-2(x-2y)= -2(-1)
The new equation will be
-2x+4y=2 => (iii)
Adding equation (iii) with equation (i), adding respective sides of both equations
(2x+y)+(-2x+4y)=3+2
2x+y-2x+4y=5
5y=5
So, after multiplying equation (ii) by -2 and then adding it to the first equation will give 5y=5
Answer:
[tex]5y=5[/tex]
Step-by-step explanation:
[tex]2x + y = 3[/tex]
[tex]x - 2y = -1[/tex]
If equation two is multiplied by -2, then the equation becomes
[tex]x - 2y = -1[/tex] times -2 becomes
[tex]-2x + 4y = +2[/tex]
Now we add both equations
[tex]2x + y = 3[/tex]
[tex]-2x + 4y = +2[/tex]
----------------------------------
[tex]0 + 5y = 5[/tex]
[tex]5y=5[/tex]
Enter the number that belongs in the green box
Answer:
x=96°
y=96°
Step-by-step explanation:
y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles
360°-(84°+84°)=192°
divide 192° by 2 to get the measure of one angle
therefore, x=96°
Answer:
x = 96 and y = 84
Step-by-step explanation:
Given
A Point
Angles x,y and 84 degrees
Required
Find x and y
First, we should note that angle x and 84 degrees are supplementary.
Two angles are said to be supplementary if they add up to 180 degrees
i.e. x + 84 = 180
x + 84 = 180
Make x the subject of formula
x = 180 - 84
x = 96
In the similar vein, angle x and y are supplementary.
so, x + y = 180
Substitute 96 for x
So, we have
96 + y = 180
make y the subject of formula
y = 180 - 96
y = 84
Hence, x = 96 and y = 84
Find the height of a prism if the base is a right triangle with legs 3 inches and 5 inches, and the volume of the prism is 150 cubic inches
Answer:
the height is 20 inches
Step-by-step explanation:
Answer: 20 inches
Step-by-step explanation:
This is a triangular prism, we first need to find the area of the triangle!
A (triangle) = 1/2 x base of triangle x height of triangle
A = 1/2 x 3 x 5 = 7.5 square inches
Now lets work out the height of the prism, we can use the volume of the prism to do so.
V = Area of triangle x height
150 = 7.5 x height
Height = 150/7.5 = 20 inches
Helpppp show work please
So, input into distance formula to get ....
√(22-(-18))²+(0-9)²
√1600+81
√1681 is about 41.
Answer:
41 units
Step-by-step explanation:
Distance equation: Distance = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) is one coordinate, and (x₂,y₂) is the other.
Plug in: √((-18 - 22)² + (9 - 0)²)
Add: √((-40)² + (9)²)
Exponents: √(1600 + 81)
Add: √1681
Square roots: ± 41
Domain: 41 units (negatives are not allowed)
Find the slope of the straight line that passes through (–2, –4) and (3, –5)
Hello there!
The slope is -1/5.
To find the slope, subtract the y values over the x values.
- 5 - - 4 / 3 - - 2 - Since subtracting a negative is the same as adding a positive, you can rewrite the equation like this: - 5 + 4 / 3 + 2.
You are left with -1/5, this cannot be simplified so this is your final answer. I hope this helps and have a great day! :)
For this case we have that by definition, the slope of a line is given by:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Only two points are needed through which the line passes.
Where:
[tex](x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)[/tex]
Substituting:
[tex]m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 + 4} {3 + 2}\\m = \frac {-1} {5}\\m = - \frac {1} {5}[/tex]
Answer:
[tex]m=-\frac{1}{5}[/tex]
Help me please asappp!!!!
ANSWER
When x=1, [tex]y =2{x}^{2} [/tex] is 2
and [tex]y = {2}^{x} [/tex] is 2
When x=2, [tex]y =2{x}^{2} [/tex] is 8
and [tex]y = {2}^{x} [/tex] is 4
EXPLANATION
The given functions are:
[tex]y =2{x}^{2} [/tex]
and
[tex]y = {2}^{x} [/tex]
We want to find the functional values for the given x-values.
When x=1,
[tex]y = 2( {1})^{2} = 2[/tex]
and
[tex]y = {2}^{1} = 2[/tex]
When x=2,
The first function gives us:
[tex]y = 2 {(2)}^{2} = 8[/tex]
and the second function gives
[tex]y = {2}^{2} = 4[/tex]
Answer:
For the function [tex]y=2x^2[/tex]:
[tex]y=0\\y=2\\y=8[/tex]
For the second function [tex]y=2^x[/tex]:
[tex]y=1\\y=2\\y=4[/tex]
Step-by-step explanation:
You only need to make the following substitution:
For the first function [tex]y=2x^2[/tex]:
When [tex]x=0[/tex]
[tex]y=2x^2\\ y=2(0)^2\\ y=0[/tex]
When [tex]x=1[/tex]
[tex]y=2(1)^2\\ y=2(1)^2\\ y=2[/tex]
When [tex]x=2[/tex]
[tex]y=2x^2\\ y=2(2)^2\\ y=2*4\\ y=8[/tex]
For the second function [tex]y=2^x[/tex]:
When [tex]x=0[/tex]
[tex]y=2^x\\ y=2^0\\ y=1[/tex]
When [tex]x=1[/tex]
[tex]y=2^x\\ y=2^1\\ y=2[/tex]
When [tex]x=2[/tex]
[tex]y=2^x\\y=2^2\\ y=2^2\\ y=4[/tex]
John deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest whole dollar, how much interest will he earn in 3 years?
Answer:
The interest is equal to [tex]\$13[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=3\ years\\ P=\$80\\ r=0.05\\n=1[/tex]
substitute in the formula above
[tex]A=\$80(1+\frac{0.05}{1})^{3}=\$92.61[/tex]
Find the interest
[tex]I=A-P=\$92.61-\$80=\$12.61[/tex]
Round to the nearest whole dollar
[tex]\$12.61=\$13[/tex]
solve this equation for X:
0.5(5-7X)= 8- (4X+ 6)
Answer:
-1
Step-by-step explanation:
0.5(5-7X) = 8 - (4X+6)
Expand the L.H.S by multiplying it by 0.5 and expand the bracket on the R.H.S by multiplying with -1
2.5 - 3.5X = 8 - 4X -6
Collect like terms
-3.5X + 4X = 8 - 6 - 2.5
0.5X = -0.5
Divide both sides by 0.5
X = -1
The value of which of these expressions is closest to e ?
A. (1 + 1/14)^14
B. (1 + 1/12) ^12
C. (1 + 1/13)^13
D. (1 + 1/11) ^11
Answer:
It's A, Apex confirmed
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
These prisms are similar. Find the surface area of the larger prism in decimal form.
Answer:
176.4
Step-by-step explanation:
1.) 7/5 = surface area/90 = (7/5)^2 = 49/25
2.) sa/90 = 49/25
3.) 4,410/25a
Surface area is 176.4
Answer:
176.4
Step-by-step explanation:
what is the slope of (2 , -2) (0,4)
Answer:
-3
Step-by-step explanation:
The slope for two points is found by
m = (y2-y1)/(x2-x1)
= (4--2)/(0-2)
= (4+2)/(0-2)
= (6/-2)
=-3
Answer:
The slope is -3
Step-by-step explanation:
[tex]\frac{y}{x}[/tex]
You do the change in y over the change in x
[tex]\frac{-2 - 4}{2 - 0}[/tex]
which equals
[tex]\frac{-6}{2} = -3[/tex]
NEED ANSWER ASAP
the expression below is the factor of what trinomial -6(x+6)(x+7)
Answer:
[tex]-6x^{2}-78x-252[/tex] or [tex]-(6x^{2}+78x+252)[/tex]
Step-by-step explanation:
we have
[tex]-6(x+6)(x+7)[/tex]
Applying distributive property
[tex]-6(x+6)(x+7)=-6[x^{2}+7x+6x+42]\\=-6[x^{2} +13x+42]\\=-6x^{2}-78x-252\\=-(6x^{2}+78x+252)[/tex]
The second one please
I think it's 27 but I may be wrong.
yeah 27 because you do the butterfly method. you multiply 63 and 12 you get 756 then you divide 756 by 28 and you get 27
Answer:
x = 27
Step-by-step explanation:
let the donominatir be x
28/63 = 12/x
28x = 756
x = 756/28
x = 27
-TheUnknownScientist
A square sandbox in Trisha's backyard has an area of 81 square feet. Find x, the diagonal length of the sandbox.
9 × 9 would be the answer or just 9. Since 9 × 9 = 81. So, I believe you could put 9 if there is only one x spot but if there is 2 you can put 9 × 9. Hope this helps! c:
Answer:
12.7 feet
Step-by-step explanation:
no <3
Please Answer Attachment Below Thanks
Answer:
Step-by-step explanation:
The interior angles of a heptagon add up to 5*180 = 900
So
x + 143 + 116 + 135 + 135 + 116 + 155 = 900 Add up the known angles
x + 800 = 900 Subtract 800 from both sides
x + 800 - 800 = 900 - 800 Combine
x = 100
please try to make the answer short if you can! && it’s worth ten points!
Answer:
A: 105 degree turn
Step-by-step explanation: If you were going east the it would be 75 except for the fact that since you are going west it would be supplementary
Find x pleeeasssseee
the answer will beeeeeeeeeeeeeeeeee c
The answer to your question is b
picking a purple marble from a jar with 10 green and 10 purple marbles
Answer:
9 purple 10 green
Step-by-step explanation:
20 total- you have a 50 50 chance (50 percent) to get either color
14. What is the value of 3A + 6|C|?
A. 27
B. –63
C. 9
D. 63
Answer:
C
Step-by-step explanation:
Given 3A + 6|C|
Finding 3A where A=-9⇒-9×3= -27
Finding 6|C| where |C| is absolute value for |-6 |
6|C|= |6×-6| =36
Hence 3A + 6|C| = -27 +36 =9
If f(12)=4(12)-20 which function gives f(x)
hope it helps you!!!!!!!!!!
Does anyone know the answer??
Answer:
C
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2 \\ \\ 100^2+b^2=125^2 \\ \\ 10000+b^2=15625 \\ \\ b^2=5625 \\ \\ b=\sqrt{5625} \\ \\ b=75[/tex]
List in order from least to greatest
Answer:-5/6 -1/6 5/3
i’ll mark brainliest please help
Answer:
False
Step-by-step explanation:
The distance between two points is found by
d = sqrt((y2-y1)^2 + (x2-x1)^2)
= sqrt( (4-7)^2 + (6-2)^2)
=sqrt( 3^2 +4^2)
= sqrt(9+16)
=sqrt(25)
= 5
Answer:
False
Step-by-step explanation:
Because....
[tex]\sqrt[]{(6-2)^2+(4-7)^2}[/tex][tex]\sqrt{(4)^2 +(-3)^2}[/tex][tex]\sqrt[]{16+9}[/tex][tex]\sqrt{25}[/tex] ≈ 5 NOT 6 units* Hopefully this helps:) Mark me the brainliest:)!!!
∞ 234483279c20∞
A needle is 2 inches long. A piece of ribbon is 6 feet long. Which diagram and statement best represents their lengths?
The answer is D . The bottom right corner .
The diagram and statement that best represents their lengths is as follows:
The ribbon is 36 times as long as the needle.
LengthLength is use to identify the size of an object or the distance.
The needle is 2 inches long
The piece of ribbon is 6 feet long.
Let's convert the sizes to same unit to be able to compare them . Therefore,
12 inches = 1 ft
2 inches = ?
Therefore, 2 inches = 2 / 12 = 1 / 6 ft
Therefore, the ribbon is 36 times as long as the needle.
1 / 6 × 36 = 6 ftlearn more on length here: https://brainly.com/question/5870703?referrer=searchResults
Tate has a bag of golf balls. 3 red 5 blue 2 yellow 2 green. What is the probability that he pulls out a blue one?
5/11 or 2.2 I believe you do this bye adding all them up and put the 5 as the numortor and 11 as the bottom
Answer:
1/22
Step-by-step explanation:
Please help me. I desperately need to pass Math T-T
Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
Please help:):):) Your awesome
Answer:
Q1: 11x - 8
Q2: 2x + 10
Q3: -3v + 12
Answer:
Q1: 11x + 8
Q2: 2x + 10
Q3: 3v - 12
What part of 5 3/5 is 7/10
Answer:
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
Step-by-step explanation:
step 1
we know that
To find what part of [tex]5\frac{3}{5}[/tex] is [tex]\frac{7}{10}[/tex], divide [tex]\frac{7}{10}[/tex] by [tex]5\frac{3}{5}[/tex]
but
First convert mixed number to an improper fraction
[tex]5\frac{3}{5}=\frac{5*5+3}{5}=\frac{28}{5}[/tex]
so
substitute
[tex]\frac{(7/10)}{(28/5)}=\frac{7}{56}=\frac{1}{8}[/tex]
therefore
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
Please help me! I do not understand one of the questions and it would be outstanding if you could help me! I'm sorry if I seem a little desperate, I've been working on this quiz for the past hour.
Dan wants to arrange his red, blue, and green bags in a row on a shelf, where R is red, B is blue, and G is green. Which tree diagram best shows the sample space of all the possible ways to arrange the three bags in a row on a shelf?
Option one: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to R. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to R.
Option two: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to B and from R to G to B. In the second row, the lines branch out from B to R to B and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R
Option three: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to G.
Option four: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R.
Thank you in advanced for helping me, it really means a lot. I don't know where I would be without you all, thank you! <3
See the attached image. The tree should consist of paths (left-to-right) that exhaust all the possible arrangements. 3 choices for the first bag (R, G, or B), 2 choices for the second (color availability depends on the first bag), and 1 for the third (again dependent on previous color), so there are [tex]3\cdot2\cdot1=3!=6[/tex] possible arrangements/permutations.
Answer: It's option 4
Step-by-step explanation: Let me fill you in on a trick I learned and why this is right so... every time you see a tree diagram like this you have to make sure that each letter across from each other match EX. P Q
Q P
See how p and p match across from each other that means it's correct here's why because each time you have a tree diagram you have EX. Q P but now you have to find another way you can make it and another way is to flip it when EX. Q P now if you flip it...
P Q
Now if you do this the letters end up matching every time which is how you know it's correct.
I know this looks long but its actually an easy trick to understand I hope you get what I'm saying hope this helps have a good day !
if y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8
*Edit* It's high school math. Forgot to change it from middle.
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336
y = [tex]\frac{336z}{x}[/tex] ← equation of variation
When x = 14 and z = 8, then
y = [tex]\frac{336(8)}{14}[/tex] = 192