Answer:
The coordinates of point P are (-2, 1)
Step-by-step explanation:
The coordinates of the partition point (x, y) of a line segment whose endpoints are (x1, y1) and (x2, y2) at ratio m: n are
x = [tex]\frac{mx2+nx1}{m+n}[/tex]y = [tex]\frac{my2+ny1}{m+n}[/tex]∵ P partitions segment GH in a ratio 1: 2
∴ P = (x, y)
∴ m = 1 and n = 2
∵ G = (-5, 5) and H = (4, -7)
∴ x1 = -5 and x2 = 4
∴ y1 = 5 and y2 = -7
→ Substitute them in the rule above to find x and y
∵ x = [tex]\frac{1(4)+2(-5)}{1+2}[/tex] = [tex]\frac{4-10}{3}[/tex] = [tex]\frac{-6}{3}[/tex]
∴ x = -2
∵ y = [tex]\frac{1(-7)+2(5)}{1+2}[/tex] = [tex]\frac{-7+10}{3}[/tex] = [tex]\frac{3}{3}[/tex]
∴ y = 1
∴ The coordinates of point P are (-2, 1)
help me plsss 4(x + 3) = 16
Answer:
x = 1
Step-by-step explanation:
Apply the distributed property: 4x + 12 = 16Subtract 12 from each side, so it now looks like this: 4x = 4Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 1I hope this helps!
Enter the number that makes the equation true.
17
0.54 +
100
100 = 100 + 100
Answer:
this question makes no sense
Step-by-step explanation:
This question doesn’t make sense, fix it
a count went up from 450 to 600. what was approximate percentage increase?
8/9 divided by -5/4?
Answer:
-32/45
Step-by-step explanation:
Solve the system, use Substitution: x + y = 11, y = x + 5 *
4 points
(-2 , 3)
(3 , 8)
(7 , 4)
(6 , 5)
Answer:
Use the Substitution method to solve this system of equations:
.
x=-y-1
x-y=-11
.
Substitute -y-1 for x in the second equation. (We can make this move because the first equation tells us that whatever x is, it is equal to -y-1.)
.
x-y=-11
%28-y-1%29-y=-11
.
Simplify by combining like terms.
-2y-1=-11
-2y=-10
y=5
.
Substitute 5 for y in the first equation.
x=-y-1
x=-%285%29-1
A list contains 7 consecutive even numbers in ascending order.The largest number is 30 and the smallest is 12 less than this.The mode is 20 and median is 22.If the sum of the two remaining numbers is 50,find all the number
Answer:
18, 20, 20, 22, 24, 26, 30
Step-by-step explanation:
We know that the largest number of the list is 30 and the smallest number is 12 less than that, which is 30 - 12 = 18.
This is our list so far: 18, __ , __ , __ , __ , __ , 30
The median of a set is the middle number of the set. In this case, since there are 7 terms in the set, the median, which the problem states is 22, must be the 4th number, since the 4th number is in the middle.
This is our list now: 18, __ , __ , 22, __ , __ , 30
Now, let's deal with the mode. The mode of a set is the term that shows up the most. Since the set is in ascending order and 20 < 22, we know that the two numbers in between 18 and 22 must be 20 and 20. This means that no term can show up more than once, with the exception of 20 because it is the mode.
This is our list now: 18, 20, 20, 22, __ , __ , 30
Finally, we'll deal with the last two numbers. We know that they must be even and that they both must be in between 22 and 30 (since the set is in ascending order). We also know that the two numbers must be different (see last paragraph) and that they sum to 50. The only two numbers that satisfy all of these conditions are 24 and 26, so they must be our last two numbers.
Therefore, the answer is 18, 20, 20, 22, 24, 26, 30. Hope this helps!
What is the image of (2,-3) after a reflection over the y-axis?
Help Me! ASAP! What is the slope of the line?
what is the average number of a question
Answer:
Overall, across all grades and subjects, the average test question count is 10, the second favorite number of questions is 5. A major contributor in determining the question count for an assignment is its assessment type.
Hope I helped!! If I did please give brainliest because I cant level up without having 1 more ;(
<3 Enjoy,
Dea
Answer:
that's so ez
Step-by-step explanation:
but idc.......!!!!!!!!
Find the accumulated amount of an ordinary annuity with a payment of $2,500, at 8% interest compounded quarterly for 16years. The number you substituted in for the variable n was And the answer you calculated for the accumulated amount was
Answer:
$8,564.86
Step-by-step explanation:
You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.
Answer:
2/7
Step-by-step explanation:
Can someone help.me with this pls.....
Answer:
5/14
Step-by-step explanation:
To work this out, we simply need to divide 1 3/4 miles by 4 9/10 miles.
1 3/4 ÷ 4 9/10
Start by converting both terms to improper fractions:
(4/4 + 3/4) ÷ (40/10 + 9/10)
= 7/4 ÷ 49/10
To divide, we simply multiply by the reciprocal of the second fraction:
7/4 * 10/49
= 70 / 196
Now we can take out common factors of the 70 / 196
70 / 196
= (5 * 2 * 7) / (14 * 2 * 7)
= 5 / 14
So the straight section of the track is five fourteenths of the entire length.
f(x)=4x 2 +6x−2 find f(-5)
Answer:
68
Step-by-step explanation:
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.Thus, the domain of the first relation is: {-2, -1, 0, 2}
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.Thus, the range of the first relation is: {-4, -2, 2}
Given the second relation
x y
-4 -2
-2 1
1 4
4 4
We know that the domain of a function is the set of input or argument values for which the function is real and defined.Thus,
The domain of the second relation is: {-4, -2, 1, 4}
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.Thus,
The range of the second relation is: {-2, 1, 4, 4}
Find the x and y intercepts for the equaiton: y=-5x+1
A (-2, 0) and (0,6)
B (-2, 0) and (0,4)
C (1/2, 0) and (0, 3)
D(1/5, 0) and (0, 1)
SOMEONE KINDLY HELP ME WITH THIS PLEASE! IT'S DUE TONIGHT :(
ANGLES
Answers and Step-by-step explanation:
→ m∠1 = m∠4 = m∠5 = m∠8
→ m∠2 = m∠3 = m∠6 = m∠7
.
We known that:
m∠ 8 = 45°
.
A.)
m∠1 = m∠8
m∠1 = 45°
.
B.)
m∠2 = 180° - m∠1
m∠2 = 180° - 45°
m∠2 = 135°
.
C.)
m∠3 = m∠2
m∠3 = 135°
.
D.)
m∠4 = m∠1
m∠4 = 45°
.
E.)
m∠5 = m∠8
m∠5 = 45°
.
F.)
m∠6 = m∠2
m∠6 = 135°
.
G.)
m∠7 = m∠6
m∠7 = 135°
.
Happy to help :)
helllllp pls my grade is depending on it
y=3+8 − x and x =2 I need help
Answer:
y=9
Step-by-step explanation:
Answer:
y = 9
Step-by-step explanation:
Step 1:
y = 3 + 8 - x Equation
Step 2:
y = 3 + 8 - 2 Input x value
Step 3:
y = 11 - 2 Combine Like Terms
Answer:
y = 9
Hope This Helps :)
Examine (A), (B), and (C) and find the best answer.
(A) 3/5
(B) 8/9
(C) 5/7. a) (A) is greater than (B) and less than (C).
b) (A), (B), and (C) are equal.
c) (B) is greater than both (A) and (C).
d) (C) is greater than (B) and less than (A).
Answer:
its A
Step-by-step explanation:
Answer:
[tex] \boxed{option \: \boxed{(C)} \: is \: correct.}[/tex]
Step-by-step explanation:
[tex] \boxed{ \boxed{\frac{3}{5} = 0.6 } \: \boxed{\frac{8}{9} = 0.89} \: \boxed{ \frac{5}{7} =0.71 }} \\ hence \to \\(B) \: is \: greater \: than \: both \: (A) \: and \: (C).[/tex]
♨Rage♨
Sam and Janet are mountain biking. Sam rides his bike down into a valley, 8 feet below sea level. Janet rides her bike to the top of a hill, 437 feet above sea level. What is the vertical distance between Sam and Janet?
coso + COSB
sino - Sinß
Sino+ Sinß
coso
cos B
please help me
Answer:
amm
Step-by-step explanation:
*Arianators Know*
Normal Brainly kid: What's 34 + 35?
Arianators: Can u stay up all night? me til the daylight? 34 35!!!
The answer is 69
(ariana grande) teehee can u stay up all night me to the daylight 34 35!!!!
Slope:
y-intercept:
Equation:
Answer:
slope: (1 ,-3)
y-intercept: -1
y = -3/1 -1
Step-by-step explanation:
hope it helps!
Someone please help me. Thanks!
Anamara has 3 cats. She wanst to feed them an equal amount of food. One bag of cat food has 9 grams of food. How many grams will each cats get?
Answer: 3 grams
Step-by-step explanation: Each distribution of food must be equal so divide food by amount of cats which is 3 to get 3
Mathmatically 9/3 = 3 grams
The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q
9514 1404 393
Answer:
q = 40
Step-by-step explanation:
When the quadratic has roots p and r, it can be factored as ...
(x -p)(x -r) = x² -(p+r)x +pr
So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...
p + r = 14
p - r = 6
2p = 20 . . . add the two equations
p = 10
r = 14 -p = 4
The value of interest is then ...
q = pr = (10)(4)
q = 40
__
The graph shows the roots to be 4 and 10, as we found.
10. A local
meteorologist
estimated 3.5 inches of
rain for the month of
April. The actual rainfall
was 5.8 inches. What
was the percent error of
the estimate to the
nearest tenth of a
percent?
Answer:
39.7%
Step-by-step explanation:
(actual value - estimated value) / actual value
5.8 - 3.5 = 2.3
2.3 / 5.8 = 0.3965 = 39.65%
Help please I’ll give you brainlyst
The ratio of sugar to flour in the recipe is 1 to
2. If you use 5 cups of sugar, how much flour do
you need to use?
Answer:
10 flour
Step-by-step explanation:
1:2
5:x all you have to do is multiply by 2, sense the ratio is 1:2, flour will always be 2 times greater than sugar. so the answer is 5 x 2 =10
A TV originally priced at $500 is discounted 5%. How much is the discount?
Answer:
The discount price for the TV is $475
Step-by-step explanation:
You multiply the original price by 0.95 (95%)
Answer:
$400
Step-by-step explanation:
Take the original price. Divide the original price by 5. Alternatively, divide the original price by 100 and multiply it by 20. Subtract this new number from the original one.
500/100=5
5*20=100
500-100=400