The distance between two points is the number of units between them
The possible value of x is -66
The given parameters are:
[tex]\mathbf{S = (-6,8)}[/tex]
[tex]\mathbf{T = (x,-3)}[/tex]
[tex]\mathbf{ST = 61}[/tex]
Distance ST is calculated using:
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 - -3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 +3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + 11^2}}[/tex]
Substitute 61 for d
[tex]\mathbf{ \sqrt{(-6 - x)^2 + 11^2} = 61}[/tex]
Square both sides
[tex]\mathbf{ (-6 - x)^2 + 11^2 = 61^2}[/tex]
[tex]\mathbf{ (-6 - x)^2 + 121 = 3721}[/tex]
Subtract 121 from both sides
[tex]\mathbf{ (-6 - x)^2 = 3721 - 121}[/tex]
[tex]\mathbf{ (-6 - x)^2 = 3600}[/tex]
Take square roots of both sides
[tex]\mathbf{ -6 - x = 60}[/tex]
Add 6 to both sides
[tex]\mathbf{ - x = 60 + 6}[/tex]
[tex]\mathbf{ - x = 66}[/tex]
Multiply both sides by -1
[tex]\mathbf{ x = -66}[/tex]
Hence, the possible value of x is -66
Read more about distance at:
https://brainly.com/question/2669795
Please answer this question
Answer:
b (0, 4)
Step-by-step explanation:
The other options already have an input (the x) in the function so it must be b.
Las otras opciones ya tienen una entrada (la x) en la función, por lo que debe ser b.
Find the coordinates of the midpoint of line AB if a= -5 and B =
17
Answer: 6
Step-by-step explanation: 6
Between the middle point is 6.
Tim owes his mother $23. What possible combination of jobs
could Tim perform to earn enough money to pay back his mother?
Write an addition equation using integers to represent the
situation. Will he have money left over?
Answer:McDonald’s
Step-by-step explanation:because they pay very low and u should have -3 -5 -10
Can someone help me I don't get it
Answer:
6a C; 6b C
8: b.2 and d.15/4
Step-by-step explanation:
Answer:
1 mile = 5,280 feet
or
Step-by-step explanation:
So your case, since the given is already 35 miles per hour the only conversion that needs to be done to convert it into feet per hour would be the conversion of miles into feet.
May I please receive help?
Subtract how much more angle 1 is from the total. :
112 - 48 = 64
Divide by 2:
64/2 = 32
Angle 2 = 32 degrees
Answer:
measure of angle 2 is 32 degrees.
Step-by-step explanation:
I will refer to the measure of the angles as m1 and m2 (I don't have the angle symbol on my keyboard).
we are looking for measure of angle 2, so let's call m2 "x".
so,
m2 = (x)
m1 = (48 + m2) or m1 = (48 + x)
and we know that:
m1 + m2 = 112
so we substitute the values above into the equation.
m1 + m2 = 112
(48 + x) + (x) = 112
combine like terms:
42 + x + x = 112
42 + 2x = 112
subtract 42 from both sides, leaving us with
2x = 64
divide by 2, giving us
x = 32
remember that we are looking for m2, which is x, so m2 is 32 degrees. hope this helped! (:
Help MEE PLEASEE :( Im stressing sm
Answer:
smaller t= 0
larger t= 4
Step-by-step explanation:
smaller t is the t sqrd
larger t is the 4t
h(t) = t^2 + 4t + 3
h(0) = (0)^2 + 4(0) +3
0 + 0 + 3
= 3
i think the vertex of the parabola is
negative positive 3 or (-3,3),(3,-3)
I don't think if that's the correct answer.
A bag of corn can feed 50 chickens for 12 days how many bags are needed to feed 20 chickens for 30 days
Answer:
4.
Step-by-step explanation:
Divide 30 by 12 which is close to 5 and then divide 20 by 5. This MIGHT be wrong.
Please help me with this question
Answer:
x = 2
Step-by-step explanation:
Any lower base angle is supplementary to any upper base angle, then
51x + 3 + 75 = 180
51x + 78 = 180 ( subtract 78 from both sides )
51x = 102 ( divide both sides by 51 )
x = 2
Name the common vertex of all the angles.
Which statement can be represented by the equation 18 divided by m = 7.2?
Answer:
2.5
Step-by-step explanation:
Which is larger the diameter of a nucleus or the diameter of a protron?
Inside a nucleus are neutrons and protons, which occupy a space about 100,000 times smaller than the whole atom. In the pond example, a proton would measure about 1/50th inch (0.5 millimeters) in diameter—about the size of a pinpoint.
So the answer would be the diamter of a nucleus.
The sum of two numbers is 16 and their product is 63
Jennifer spent $153.36 at the mall. Sally spent $85.20. How many times greater in the amount Jennifer spent than the amount that Sally spent?
Answer: 1.8x greater
Divide Jennifers spending by Sallys spending
153.36 / 85.20 = 1.8
Sally spen 1.8x more money than Jennifer
Find the slope and y-intercept from the graph. Then enter the equation for the graph in slope-intercept form.
The table numbers are (0,9) (1,13) (2,17) (3,21) (4,25)
Answer: y=4x+9
Slope = 4
Step-by-step explanation:
y2-y1/x2-x1
Given 3,21 and 4,25
25-21/4-3 = 4/1 = 4
Slope = 4
You can use the point-slope formula to get the following equation in slope-intercept formula.
y-y1 = m(x-x1)
(4,25)
->
y-25=4(x-4)
Distribute
y-25=4x-16
Cancel 25
y=4x+9
At a robotics competition, first prize wins
$250.50, second prize wins $175.27, and third prize
wins $125.74. If Sawyer wins all three prizes, how
much money will he get?
Answer:
551.51
Step-by-step explanation:
g = f - d / v what is f
Answer:
f = g + d/v
Step-by-step explanation:
g = f - d/v
add d/v to both sides
g + d/v = f
switch sides
f = g + d/v
divide 65 into two groups so that the ratio is 2 to 3
Find the outlier of the data set.43, 69, 49, 78, 88, 54, 73, 194, 54, 59, 70
hFASTTTTTTTTTTTTSNFKSKMDKF
Answer:
(4, 4)
Step-by-step explanation:
If it is reflected on both axis, it will be (4, 4)
if ratio of 2 circle is 16:25 and circle one's radius is 4 what is the radius for the 2nd circle
Answer: 42
you must divide the casuals into the amount of Cheetos I ate last tomorrow morning
A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges' scores. The first three judges' scores were 83, 88, and 92. The figure skater made it to the next round.
What is the minimum score the fourth judge could have given?
Answer:
79
Step-by-step explanation:
the rule here is to add 4 but here minus the least
PLEASEEEEE HELPPPPP!!!! D: (picture explains questions)
Answer:
DCB ~ RST
JKL ~ JTU
Step-by-step explanation:
Solve m-v=k (solve for v)
Answer:
m-k=v
Step-by-step explanation:
m-v=k add "v" to both sides to separate it from "m"
m=k+v subtract k from both sides to isolate "v"
m-k=v
Model With Mathematics Keisha is catering a
luncheon. She has $30 to spend on a mixture of
Cheddar cheese and Swiss cheese. How many
pounds of cheese can Keisha get if she buys
part only Cheddar cheese? Only Swiss cheese? A
mixture of both cheeses? What linear equation
in standard form can she use to model the
situation
Answer:
if she has to buy from a mixture of both the cheeses then equation will become;
N x C + M x S = 30
Explanation:
Let C represents the value of cheddar cheese per pound
Let S represents the value of swiss cheese per pound.
Equation when she only buys cheddar cheese will be;
N x C = 30,
Here N is the number of pounds of cheddar cheese
Equation when she only buys swiss cheese will be;
M x S = 30,
Here M is the number of pounds of swiss cheese
Now if she has to buy from a mixture of both the cheeses then equation will become;
N x C + M x S = 30
What are the values of s and t?
Answer:
S=68
T=44
Step-by-step explanation:
G=E=68
F=180-(2×68):44
A coordinate plane with a line passing through (negative 3, 2) and (0, 3)
Find the linear function represented by the graph.
The slope of the line is
✔ 1/3
The y-intercept of the line is at
✔ 3
What linear function is represented by the graph?
✔ f(x) = (1/3)x + 3
Let's check
[tex]\\ \sf\longmapsto Slope=m=\dfrac{3-2}{0+3}=\dfrac{1}{3}[/tex]
Y intercept is 3✓Now
let f(x) be y
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{1}{3}x+3=f(x)\checkmark[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find the slope (m) of given line :
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{3 - 2}{0 - ( - 3 )}[/tex][tex] \dfrac{1}{3} [/tex]Hence, The slope of the line is
✔ 1/3
y - intercept (c) is the value of y, when x = 0
or y - coordinate of point at which the line
cuts y - axis.
that is : 3 ✔
the linear function represented by the graph is :
[tex]f(x) = \dfrac{1}{3} x + 3[/tex]
Solve for X…..
help plzzz i’ll give u brainliest
Answer:
x = 34
Step-by-step explanation:
4x and 44 are adjacent angles on a straight line and sum to 180° , that is
4x + 44 = 180 ( subtract 44 from both sides )
4x = 136 ( divide both sides by 4 )
x = 34
The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle
Answer:
x=7, so the smallest angle would be 44?
Step-by-step explanation:
Okay, so in a triangle, all the angles have to add up to 180°. So your equation would be 44 + (5x+20) + (9x+18) = 180
So in order to find the smallest angle, you have to find x, so let's simplify the equation.
Add the like terms (5x + 9x = 14x) and then the regular integers (44 + 20 + 18 = 82)
So now we have 14x + 82 = 180. Subtract 82 from both sides of the equation, and you will have 14x = 98.
Divide both sides by 14, and you will get x = 7.
Now plug this in to both equations, and see which one is the smallest.
9(7) + 18 = 63 + 18 = 81
5(7) + 20 = 35 + 20 = 55
I'm not sure whether or not your problem meant "find the smallest angle with a variable" or just the smallest angle in general, but I hope this helps.
120 seniors are on the honor roll. This represents one third of the senior class. How many seniors are there.
would be favorable for the steps as well as answer
Answer:
360
Step-by-step explanation:
120 = 1/3 x
120 x 3 = x
360 = x
The slope of a line is 2/3. What does this mean?
Choose the answer below
a. Move 3 units upward and 2 units to the left
b. Move 2 units upward and 3 units to the left
c. Move 3 units upward and 2 units to the right
d. Move 2 units upward and 3 units to the right
Slope is Y / X
Y is up and down and x is left to right.
Slope of 2/3 is 2 units up and 3 units to the right.
Answer: d. Move 2 units upward and 3 units to the right