Answer:
The distance formula between two points is
D=√([tex]x_{2} \\[/tex] -[tex]x_{1\\}[/tex])^2 + ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2
Whereas
d is distance
So in this case
(-8, -1)
(-4, -9)
x2 is -4
x1 is -8
y2 is -9
y1 is -1
Now we plug them in
d= √(-4 + 8)^2 + (-9+1)^2
Now solve
it’s about
8.94427
The sum of first four terms is a G.P. is 30 and that of the last four terms is 960. if its first term is 2 find the common ratio .
If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990
We also know that a = 2
sum of first 4 terms
= 2(r^4 - 1)(r-1) = 30
r^4 - 1 = 15r - 15
r^4 - 15r + 14 = 0
r = 1 works for the equation , but r = 1 would make all the terms of the
GP the same, so clearly not a solution
r^4 - 15r + 14 = 0 , a bit of trial and error ....
(r-1)(r - 2)(r^2 + 3r + 7) = 0
so r = 2 or r = not real
check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed
so r = 2 , BUT it does not work for sum(8)
sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.
check your question.
Help me Pls
NONSENSE=REPORT
REAL ANSWER=BRAINLIEST+HEART
PLACE VALUE. VALUE
6. Hundreds. 200
7. Ones. 1
8. Hundreds. 0
9. Hundreds. 800
10. Tens. 60
write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 2
Answer:
Step-by-step explanation:
I would start with the form
y = mx + b
and then convert to standard form. Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2 ⇒ m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
5x + 7y = 14 (standard form)
The equation in standard form of the line is 5x + 7y = 14
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, a line is passing through (7, -3) and has a y intercept of 2
The general equation of a line is y = mx + b
Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2
m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
Converting into standard form;
5x + 7y = 14
Hence, the equation in standard form of the line is 5x + 7y = 14
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A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answer:
The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.
Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .
In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:
( × 9) ÷
( × 9) × = 18 quarts
To learn more about ratios, please check: brainly.com/question/17995727
Step-by-step explanation:
18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that recipe for sparkling grape juice calls for [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quart of grape juice
Let us convert [tex]1\frac{1}{2}[/tex] to improper fraction as 3/2
We need to find the amount of sparkling water would you need to mix with 9 quarts of grape juice
Let x be the sparkling water would you need to mix with 9 quarts of grape juice
Let us form a proportional equation.
3/2/(3/4)=x/9
3/2×4/3=x/9
2=x/9
18=x
Hence, 18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.
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Over time, the value of a car decreases. If the value of a car purchased for Php
1,250,000 decreases to Php 1,000,000 throughout a year, what is the rate of change?
Answer:
-20%
Step-by-step explanation:
Current value of an item and divide it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.
ROC = (current value/previous value − 1) x 100
ROC = (1,000,000/1,250,000 - 1) x 100
ROC = (0.8 - 1) x 100
ROC = -0.2 x 100
ROC = -20
ℎ ℎ 22 2 22 2− 3 +10
Answer:
wouldn't the answer be 9
Step-by-step explanation:
Answer:
22h^2 + 33 (added) . h⋅h⋅22,2,22,2−3+10 (subtracted)
Step-by-step explanation:
I don't understand what you want so I will list lots of answers hopefully it helps. Please message under my answer for more solutions so I can help you but I hope this started to help you.
If a ping pong ball falls from the top of a building that is 168 feet high, how many seconds will it take the ball to hit the ground
Answer:
3.2 seconds
Step-by-step explanation:
4x+y=8
x+2y=5
substutuion method
Answer:
i dont know sry....i ned points..
13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7
Given the figure below, which of the following equations is correct?
A is the correct answer
ok done. Thank to me :>
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license plates, and $40 for a state safety and emissions inspection. How much does she need to pay for these extra charges, not including the price of the car?
Answer:
999
Step-by-step explanation:
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
[tex]at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.[/tex]
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.
Apply the distributive property to factor put the greatest common factor
250 - 150x=
Answer:
50(5-3x)
Step-by-step explanation:
250=2*5^3
150=2*3*5^2
GCF=2*5^2=50
250/50=5
150/50=3
50(5-3x)
4(x+2)-6=x+41 denkleminde x kaçtır?
A)13 B)14 C)-14 D)-13
ACİL LÜ TFEN!!
Answer:
[tex]A)13[/tex]
Step-by-step explanation:
[tex]4(x+2)-6=x+41[/tex]
[tex]→4x + 4 \times 2 - 6 = x + 41[/tex]
[tex]→4x + 8 - 6 = x + 41[/tex]
[tex]→4x + 2 = x + 41[/tex]
[tex]→4x + 2 - x = x + 41 - x[/tex]
[tex]→4x - x + 2 = x - 41 - x[/tex]
[tex]→3x + 2 = x + 41 - x[/tex]
[tex]→3x + 2 = 41[/tex]
[tex]→3x + 2 - 2 = 41 - 2[/tex]
[tex]→3x - 39[/tex]
[tex]→ \frac{3x}{3} = \frac{39}{3} [/tex]
[tex]→x = \frac{39}{3} [/tex]
[tex]→x = 13[/tex]
How do we check an answer to an algebraic equation to make sure that it is correct?
Determine whether a number is a solution to an equation.
Substitute the number for the variable in the equation.Simplify the expressions on both sides of the equation.Determine the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.- BRAINLIEST answerer
Answer:
substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal
Step-by-step explanation:
let's say you have this equation:
2x - 10 = 26
solve by first adding 10 to each side to get:
2x = 36
now divide each side by 2 to get:
x = 18
to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:
2(18) - 10 = 26
36 - 10 = 26
26 = 26
we know our answer is correct
A line passes through the point (-8, 3) and has a slope of 3/4 write an equation in slope intercept form
Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13
Answer:
13/ 14 the first one
Step-by-step explanation:
Help please I’m going to be in big trouble
Please help me!!!!!!!!!!! Find the coordinates of P scale factor of 3
Answer:
P'(3, -12)
Step-by-step explanation:
Assuming we're dilating the figure by a factor of 3 using the origin as the center of dilation, the coordinates of P' will be 3 times those of P:
P' = 3P
P' = 3(1, -4)
P' = (3, -12)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2
Answer: B
Solution: Because the line is a dotted line. so print (-3, -1) and (3, 3) , (0, 0) are not the solution, so , answer is (0, 5) choice B.
Answer:
C
Step-by-step explanation:
first way: (easier way)
Plot the points out, points in the blue region are solutions. points on the dotted line are not solutions since it is a dashed line.
(0,5 is in the blue region)
second way:
find the equation of the in-equality:
the line that divides solutions and non-solutions passes through 3,3 and -3,-1
y=mx+b
m=change in y/change in x = (-1-3)/(-3-3) = 2/3
y=2/3x+b
plug x=3, y=3 (from the point "3,3")
3=2/3*3+b
3=2+b
b=1
y=2/3x+1 is the solution of the line.
the in-equality is
y(?)2/3x+1
plug in -5,5, which is a solution (looking at the graph)
5>-7/3
so use >, and not <
y>2/3x+1 is the equation of the in-equality, now just plug the answer choices in to see that
x=0,y=5 is a solution
Determine the value of x in the diagram.
Answer:
x=48 because 180-156=24. 108+24=132 180-132=48
what is the slope of the line that passes through the points (-3, 1) and (1, -5)
A) 1/2
B) -1/2
C) -3/2
Answer:
[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line.
Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:
x₁ = -3 y₁ = 1x₂ = 1 y₂ = -5Substitute the values into the formula.
[tex]m= \frac{-5 -1}{1 - -3}[/tex]
Solve the numerator.
-5-1= -6[tex]m= \frac{ -6}{1--3}[/tex]
Solve the denominator. Two back-to-back negative signs become a positive sign.
1 - -3 = 1+3 =4[tex]m=\frac{-6}{4}[/tex]
Simplify the fraction. Both the numerator and denominator can be divided by 2.
[tex]m= \frac{-6/2}{4/2}[/tex]
[tex]m= -\frac{3}{2}[/tex]
The slope of the line is -3/2, so the correct choice is C.
If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5
Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .
• According to the Question ,
[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]
where k is a constant .And ,
[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]
[tex]\sf\longrightarrow k = 7*5 \\ [/tex]
[tex]\bf\longrightarrow k = 35[/tex]
Now , when x is 5 ,
[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]
[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]
[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]
how would I solve this??
logx^125 = -3
Step-by-step explanation:
First, this is how I read it.
[tex]\log(x^{125})=-3[/tex]
Next, this is how logarithms work:
[tex]b^y=x\implies \log_b(x)=y[/tex]
In your equation, we have all 3 numbers:
b = 10 (implied)x = [tex]x^{125}[/tex]y = -3With that information, you can convert the logarithm into "normal" form:
[tex]10^{-3}=x^{123}[/tex]
The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.
Now, just solve for x:
[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]
That's about as simplified as it gets, unless you want this:
[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]
Thats 10^(3/125), numbers got very small.
I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.
I will mark brainliest. Only REAL ANSWERS PLEASE!!!
Answer:
y > -4
Step-by-step explanation:
The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.
Find the measures of the interior angles of the triangle.
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
HI!!! IKL GIVE U BRAINLIEST IF U CAN HELP ME!
Factorise this expression as fully as possible 12x - 9x?
Answer:
4x
Step-by-step explanation:
12x-9x
=4x
I hope my answer is correct
and if u like mark me as brainliest answer.
Answer:
12x - 9x
= 3x ( 4- 3)
= 3x ( 1)
= 3x
Use the following function rule to find f(2).
f(x) = 2^x
f(2) =
Answer:
4
Step-by-step explanation:
2²
4PLEASE MARK ME AS BRAINLISTWhat is f(-1)?
PLEASE HELP ASAP
Answer:
3
Step-by-step explanation:
y=3, you can see it when you start from ×=-1 and then follow the line in the graph
Answer:
f(-1) = 3
Step-by-step explanation:
You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.
Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.