Step-by-step explanation:
in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.
now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.
when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).
so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.
xm, ym are the coordinates of the midpoint.
xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5
ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5
so, the midpoint is (-6.5, 0.5)
If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles
Measure=?
Answer:
PQS is a straight line, so:
(3x - 5) + (x + 1) = 180
4x - 4 = 180
4x = 184
x = 46 degrees
Step-by-step explanation:
A line has a slope of -1/7. It passes
through the points (1,2) and (3,y).
What is the value of y?
Answer:
y = 12/7
Step-by-step explanation:
Slope = (change in Y) / (change in x)
-1/7 = (y - 2) / (3 - 1)
-1/7 = (y - 2)/2
Cross multiply: -1(2) = 7(y - 2)
-2 = 7y -14
-2 + 14 = 7y
12 = 7y
12/7 = y
Let's find y
[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-1}{7}=\dfrac{y-2}{3-1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-1}{7}=\dfrac{y-2}{2}[/tex]
[tex]\\ \sf\longmapsto -2=7y-14[/tex]
[tex]\\ \sf\longmapsto 7y=12[/tex]
[tex]\\ \sf\longmapsto y=12/7[/tex]
At the begining of last year, there were 368 students at the elementary school.By the beginning of this year,72 of those students had moved.About how many students started the school this year?
Answer:
296
Step-by-step explanation:
368-72
5x - 3y - 25 = 0 as well as the values of p, w, and draw the graph
Which ordered pairs is a solution to -5x + 3y > 12?
(3,9)
(-5,5)
( (3-6)
0 1(-2,-5)
(2,8)
)
O 1 (-6,0)
Answer:
(-5,5)
Step-by-step explanation:
if you replace x and y with the numbers, the answer will be true.
Solve for x
simple geometry
Step-by-step explanation:
[tex]2x - 10 + 4x + 16 = 180 \\ \\ 4x - 2x + 16 + 10 = 180 \\ \\ 2x = 180 - 26 \\ \\ 2x = 154 \\ \\ x = \frac{154}{2} \\ \\ x = 77[/tex]
Answer:
From the above attachment we can conclude that,
[tex](2x - 10)° + (4x + 16)° = 180° \\ 2x - 10 + 4x + 16 = 180 \\ 2x + 4x - 10 + 16 = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\x = \frac{174}{6} \\ \boxed{x = 29}[/tex]
Therefore, the value of x is 29
x = 29 is the right answer.what steps were taken to solve the equation? solve the equation.
Answer:
x = 19/3
Step-by-step explanation:
Step 1 = x - 4 = 7/3
Step 2 = x = 7/3 + 4
[(4*3)+7]/3 = 19/3
HELPPPPP AGAIN!!! THIS IS DIFFICULT
What is an equation of the line that passes through the points (6,2) and (-6, -8)
Answer:
y = 5/6x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-8 - 2 / -6 - 6
-10 / -12
= 5/6
y = 5/6x + b
2 = 5/6(6) + b
2 = 5 + b
-3 = b
Answer:
y = 5/6x - 3
Step-by-step explanation:
sumi bought 3 tickets that cost $7 each. She paid with a $50 bill. How much change should she receive?
Answer:
$29
Step-by-step explanation:
PLEASE HELP! I don’t understand this problem
Please help some one and if you could explain please
Answer:
t = 1 second
Step-by-step explanation:
initial height = 16
penny to hit the ground = 0
0 = -16t^2 + 16
-16 = -16t^2 ÷
-16 ÷ -16 = -16t^2 ÷ -16
1 = t^2
√1 = √t^2
1 = t
A store sells one pound of strawberries for $2
a: How many pounds of strawberries can you buy with only $1? Show your answer with correct units.
b: How many pounds of strawberries can you buy with $11? Show your answer with work
Answer:
a) 1/2 pound
b) 5.5 pounds
Step-by-step explanation:
a) Realize $1 buys half of what $2 buys, or half a pound.
b) 11/2 = x/1
11 = 2x = 5.5
What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon
Answer:
you mean the midpoint: (-1, 23)
On a map, 1 inch equals 25 miles if two cities are 8 inches apart on the map how far are they actually apart ?
Answer:
200 mi
Step-by-step explanation:
8 times 25 mi = 200 mi
PLEEEEEEEEEAAAse mark branliest!!!
The sum of-38 and a number is -21.
equation
Answer:
-38 + x = -21
Step-by-step explanation:
Since we don't know the number that -38 is being added to, we can suplement it in the equation with x.
What is the value of h in this graph ?
F(x)= |x - h|
Answer:
[tex]h=4[/tex]
Step-by-step explanation:
We know that the vertex(lowest point) of [tex]|x-h|[/tex] is [tex](h, 0)[/tex].
By inspection, we can see that the vertex of the graph is [tex](4, 0)[/tex].
So, the lowest point of [tex]F(x)=|x-h|[/tex] is [tex](4, 0)[/tex], which means [tex]\boxed{h=4}[/tex]
Answer:
Step-by-step explanation:
0=|x-h|
x=h,
but y=0 when x=4
so h=4
To complete a job, a plumber needs 10 sections of pipe that are 24.125 inches in length. How much pipe is needed?
Answer:
241.25
Step-by-step explanation:
24.125 x 10= 241.25
Answer:
That would be a total of 241 and a quarter inches of pipe which is equal to 20.10417 feet of pipe.
Step-by-step explanation:
24.125x10=241.25/12=20.104166666
Because there are 12 inches in a foot.
Can someone find the slope of a line parallel to 5x+2y=6
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
(v^3+14v^2+46v+11) / (v+9) long division polynomials
Answer:
v²+5v+1 + 2/(v+9)
Step-by-step explanation:
(v^3+14v^2+46v+11) / (v+9) = v²+5v+1 R: 2
attached is synthetic division instead of long division for easier display
Which equations have no solution? Check all that apply.
- 1x] = 0
[x] =-15
0 - x = 12
-|-x] = 9
-|-x] = -2
Answer:
- 1x] = 0
[x] =-15
Pls help me I really need this today. If you need the snack price is here!
Dried Fruit $4.25 per pound
Mixed Nuts $6.75 per pound
Trail Mix $3.50 per pound
9514 1404 393
Answer:
Yes, Yolanda bought enough
Step-by-step explanation:
a. Read and understand the question, including what is given and what is asked for. Here, we have ...
Given: mixed nuts $6.75 per pound, $21.60 spent on mixed nuts; dried fruit $4.25 per pound, $11.90 spent on dried fruit.
Find: is the total weight of purchased mixed nuts and dried fruit at least 6 pounds?
__
b. Select appropriate relations to create a path from what is given to what is asked for. Here, we have ...
weight = cost/(cost per pound)
total weight = weight of mixed nuts + weight of dried fruit
__
c. Use the relations with the given information to come to a conclusion that will answer the question.
weight of mixed nuts = $21.60/($6.75/lb) = 3.2 lb
weight of dried fruit = $11.90/($4.25/lb) = 2.8 lb
total weight = (3.2 lb) +(2.8 lb) = 6.0 lb
Yolanda wanted to buy a total of 6 pounds for the party, and she bought 6 pounds. Yolanda bought enough for the party.
tìm các đường tiệm cận của hàm số sau y=1/x+7
Answer:
i dont speak...that language can u translate to english?
Step-by-step explanation:
How do you find the answer for this Solve for Y -y= -33
Answer:
the equation is
Y-y = -33
-33y
What can you divide a2b5 by to get a quotient of 1?
9514 1404 393
Answer:
a^2b^5
Step-by-step explanation:
Anything divided by itself is 1.
That is, anything multiplied by its reciprocal is 1. This value (the reciprocal of the expression) is called the "multiplicative inverse." Its value is that the product of an expression and its multiplicative inverse is 1, the multiplicative identity element. (Anything times 1 is itself.)
So, to get 1 as a product, multiply by 1/(a^2b^5), which is to say, divide by a^2b^5 to get 1 as a quotient.
Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = -4x - 3
O-4
O-3
03
04
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.
y = -4(0) -3 . . . . substitute x=0
y = 0 -3
y = -3 . . . . the "initial value"
Which of the following are remote interior angles of <6? Check all that apply.
Choices
A. 5
B. 1
C. 6
D. 4
E. 3
F. 2
Answer:
Well you see Is this GCSE
Solve the equation for x :
4(x-3)-6=x+6
I don't really know how to do this when there is an = sign in it please help me.
The width of a rectangleis 5 meters less than its length and the perimeter is 30 meters whats the length and width
Answer:
can anyone help me in computer pls
Two numbers have a sum of 24
and a product of 143. What is the
smaller number?
Answer:
The smaller number is 11.
Step-by-step explanation:
11 + 13 = 24
11 x 13 = 143
Hope this helps!