Answer:
The coordinates of the point X:
(x, y) = (-1, -7)Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
[tex]\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)[/tex]
[tex]\left(x_2,\:y_2\right)=\left(5,-1\right)[/tex]
Rise = y₂ - y₁
[tex]= -1 - (-8)[/tex]
[tex]= -1 + 8[/tex]
[tex]= 7[/tex]
Run = x₂ - x₁
[tex]= 5 - (-2)[/tex]
[tex]= 5 + 2[/tex]
[tex]= 7[/tex]
1 : 6 ratio means the point X lies at
[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]
Thus,
rise for X [tex]=\:7\:\times \:14\%=1[/tex]
run for X [tex]=\:7\:\times \:14\%=1[/tex]
Thus, coordinates of X will be:
[tex]x = -2 + 1 = -1[/tex]
[tex]y = -8 + 1 = -7[/tex]
Therefore, we conclude that:
The coordinates of the point X:
(x, y) = (-1, -7)The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.
What is distance?If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:
[tex]x=\frac{1}{1+6}(5-(-2))+(-2)=-1\\\\y=\frac{1}{1+6}(-1-(-8))+(-8)=-7[/tex]
O = (-1, -7)
The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.
Find out more on distance at: https://brainly.com/question/17273444
2.
There are 12 girls and 38 boys in the 4th
Grade at an Elementary School. Of these
students, 9 girls and 3 boys are in the art
club. What percentage of the fourth graders
at this Elementary School are in the art club?
Answer:
38 students are not in the art club while 12 student are in the art club.
Step-by-step explanation:
Percent I am not exactly sure, I'm sorry, still I hope this somehow helped!
What's do you think that is delaying the development of African countries?
Answer:
Poverty in Africa is caused by corruption and poor governance, poor land utilisation and land tenure system, civil wars and unending political conflicts, poor infrastructure, diseases and poor health facilities, the World Bank and IMF policies, among others.
Alfred has a lawn service. He earns $40 for every 3 lawns he mows. Which of the following
represents the rate of change his income with respect to the number of lawns he mows?
$50
4 lawns
$53.33
4 laws
4 laws
$50
4 laws
$53.33
Answer: I don’t think I’m right but 53.33
Step-by-step explanation:
Find the value of x in the equation below 5= x/6
Answer:
x=30
Step-by-step explanation:
Answer:
x=30
Step-by-step explanation:
To find the value of x in an equation, our goal is always to isolate it so that it's on one side of the equal sign while everything else is on the other. We can do this by performing inverse operations to cancel values out (for example, the inverse operation of addition is subtraction and the inverse operation of division is multiplication).
5=x/6
Because x is being divided by 6, we multiply both sides by 6 to cancel it out on the side with x.
5×6=(x/6)×6
5×6=x
30=x
I hope this helps!
Fill in the blanks with NUMERICAL ANSWERS ONLY. Round all decimals to the nearest hundredth.
Find the hemisphere’s diameter if its radius is 6 cm.
centimeters
Find the hemisphere’s diameter if its radius is 9.008 ft.
feet
Find the hemisphere’s radius if its diameter is 6 cm.
centimeters
Find the hemisphere’s radius if its diameter is 9.008 ft.
Answer:
wdym
Step-by-step explanation:
Given a 17-sided polygon, what is the sum of the measures of the exterior angles?
Answer:
360 degree
Step-by-step explanation:
A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.
Please help me, I need this ASAP.
60 POINTS
Answer:
Yes the ordered pair is a solution
Step-by-step explanation:
plug on the numbers
2< 2(-1) +8
2 < 6
4(2) > -4(-1)-6
8> 4-6
8> -2
PLS HELP ME ON THIS!!
Answer:
Step-by-step explanation:
DC = AD
DC = 8.5
By the Parallelogram opposite sides theorem
Cate and Elena were playing a card game. The stack of cards in the middle had 26 cards in it to begin with. Cate added 8 cards to the stack. Elena then took 7 cards from the stack. Finally, Cate took 7 cards from the stack. How many cards were left in the stack?
Help me plssss pls help plsss
Answer:
Step-by-step explanation:
5) Diameter of the circle = 2 * 11.5 = 23 in
6) Radius of the circle = 11.5 in
7) Circumference = πd = 3.142 * 23 = 72.26 in
8) Area = πr² = 3.142 * 11.5 *11.5 = 415.48 in²
jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct explain
Answer:
No, she is not correct
Step-by-step explanation:
[tex]\frac{2}{5} \neq \frac{4}{6}[/tex]
[tex]\frac{2}{5} = \frac{4}{10}[/tex]
Harrison wants to buy a new baseball glove that costs $37.99. The store charges 7.8% tax for every purchase. If Harrison pays for the glove with a $50 bill, how much change should he receive?
Answer:
jhhhhh
Step-by-step explanation:
hgvjjjyy
14$ plus 6% tax. $16 plus a 6%. Round to your nearest
Answer:
For 14 & tax: $14.84
For 16 & tax: $16.96
Step-by-step explanation:
14*0.06 = 0.84, 14 + 0.84 = 14.84
16*0.06 = 0.96, 16 + 0.96 = 16.96
Pls help I don’t get it
Answer:
Rotation 90 degrees counter clockwise, dilation of 6, translation down
Step-by-step explanation:
Use the following function rule to find f(12). f(x)=10x-4, f(12)=
f(x)=10x-4, f(12)= 116
The value of the function f(x) = 10x - 2 at f(12) is 114.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 10x - 4.
To find f(12) we have to replace x with 12 in the function f(x).
∴ f(12) = 10(12) - 4.
f(12) = 120 - 4.
f(12) = 114.
learn more about functions here :
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Find the value of x: x/6 = 16/48
Answer:
x = 2
Step-by-step explanation:
x/6 = 16/48
48x = 6 . 16
48x = 96
x = 96/48
x = 2
What is the slope of y= 6x + 6?
Answer:
6
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Answer:
6
Step-by-step explanation:
Slope-intercept form is written y=mx+b.
y= always by itself (in slope-intercept form)
m= the slope (in this case, 6)
x= the letter that the slope is always next to
b= the y-intercept
Hope this helps you out and have a nice day ❤
this will help me a lot if you anwser this
Plzzz tell me someone kno how to do this!!
I'll mark brainliest
Answer:
21.6
Step-by-step explanation:
If x=14.4
And BC= 36
36-14.4= y
21.6= y= DC
Jenny wants to rent a truck. She contacts two truck companies. Avis truck company charges $20 plus $2 per mile. Budget truck company charges $3 pe mile. At how many miles will the charge be the same for both companies ?
Answer: 20 miles
Step-by-step explanation:
From the question, we are informed that Avis truck company charges $20 plus $2 per mile and that Budget truck company charges $3 per mile.
Let the number of miles that the charge will be the same for both companies be represented by x. This can then be used to form an equation as:
20 + 2x = (3 × x)
20 + 2x = 3x
3x - 2x = 20
x = 20
The charge will be thesame at 20 miles
The regular price for a pair of jeans is $36. the sale price is 45% off the regular price. What is the sale price of jeans?
Answer:
16.2
Step-by-step explanation:
Change the 45% into 0.45 and then multiply it by 36.
Write the equation of the line 1x + 3y = 6 in y = mx + b form.
Answer:
y = -1/3x + 2
Step-by-step explanation:
1x + 3y = 6
3y = -x + 6
y = -1/3x + 2
Answer:
[tex]y=-\frac{x}{3}+2[/tex]
Step-by-step explanation:
1x + 3y = 6
We want the y to be isolated, so we subtract x from both sides,
3y = 6 - x
Now we divide everything by 3, to isolate y
[tex]y=-\frac{x}{3}+2[/tex]
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PLSSSS SHOWWW THE WORKKK!!!!
Answer: y^2/x
Step-by-step explanation:
I need help with Geometry
Find the 10th term 1.2.4.8.
Answer:
512
Step-by-step explanation:
1+1 = 2
2+2 = 4
4+4 = 8
8+8 = 16
16+16 = 32
32+32 = 64
64+64 = 128
128+128 = 256
256+256 = 512
they add the answer by itself. hope this helps
you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies
Answer: 2
Step-by-step explanation:
24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)
Answer:
2 sticks of butter
Step-by-step explanation:
First, let's figure out how many cookies you can make with one stick of butter. So, we can divide 3 by 3 and 24 by 3...
[tex]\frac{3}{3} = 1\[/tex]
[tex]\frac{24}{3} = 8[/tex]
Now that we know that 1 stick of butter makes 8 cookies, we can multiply the amount of cookies till it becomes 16...
8×? = 16
We could rewrite this equation as division...
16÷8 = 2 sticks of butter
Now we know that we need 2 sticks of butter for 16 cookies...
Hope this Helps!!!
please help me. find m<4
Answer:
m < 38
Step-by-step explanation:
122
20 +
142
180-
142
m < 38
Write an equation of the line that passes through the given point and is parallel to the given line.
(4,7),y=5x-3
can you show how you solved it please
Step-by-step explanation:
y = 5x - 3 is in slope-intercept form.
The slope of this given line is 5,
=> Parallel line will also have slope 5.
We have y = 5x + c, where c is a constant.
When x = 4, y = 7.
=> (7) = 5(4) + c, c = -13.
Therefore the answer is y = 5x - 13.
4 7/14 - 9/14 (simplify it)
The answer is 3 5/7 hope this helps
help me please - i'll give you 10 points.
Answer:
a.
Step-by-step explanation:
this is a y = mx + b equation
the “B” is the y-intercept. So look where the line crosses the 6 axis. The equation says -1. Right away, there are only two answers that could possibly be it. A and B. The Lines both cross at -1 on the y-axis.
the ”mx“ part of the equation is the slope. Slope is the change in y over the Change in x.
in other words:
y1-y2
———
x1-x2
another thing is that slope in this equation is negative. This means the line is decreasing or going/pointing down. The only possible answer is a.