Answer:
[tex]y =\frac{4}{5}x-6[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y =mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (5,-2) and (15, 6)
[tex]=\frac{6-(-2)}{15-5}\\=\frac{6+2}{15-5}\\=\frac{8}{10}\\=\frac{4}{5}[/tex]
Therefore, the slope of the line is [tex]\frac{4}{5}[/tex]. Plug this into [tex]y =mx+b[/tex]:
[tex]y =\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y =\frac{4}{5}x+b[/tex]
Plug in one of the given points and solve for b
[tex]6=\frac{4}{5}(15)+b\\6=12+b[/tex]
Subtract 12 from both sides of the equation to isolate b
[tex]6-12=12+b-12\\-6=b[/tex]
Therefore, the y-intercept of the line is -6. Plug this back into [tex]y =\frac{4}{5}x+b[/tex]:
[tex]y =\frac{4}{5}x-6[/tex]
I hope this helps!
Find the rectangle that has:
Area 24 square feet
Perimeter = 20 feet
PLEASE HELP ME
Answer:
option E
Step-by-step explanation:
have a great day
Write an equation in slope intercept form of the line that passes through the points
Answer:
B
Step-by-step explanation:
Y=MX+C , where y=slope intercept, m=gradient and C=y-intercept
-5=6(-6)+c
-5=-36+c
-5+36=c
C=31
Hence,
y=MX+c
y=6x+31
DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the
length of the long leg and the length of the hypotenuse.
Answer:
SD = 2x
UD = x[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.
SU is the shorter leg = x
So, SD = 2x
The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.
So, UD = x[tex]\sqrt{3}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
In a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.
Which expression is equivalent to
5-1/5-2
Answer:
5
Step-by-step explanation:
(1/5)/(1/25) = 25/5 =5
negative exponents means the numbers flip
Answer:
4/3 I think hope it works
A diagram shows a kite and its frame.
Answer:
indeed it does
Step-by-step explanation:
wheres the diagram exactly?
In parallelogram HJKL if m
Answer:
24
Step-by-step explanation:
if you add all of them together u get 108 divide it by 44 and u get 24
Answer:
70
Step-by-step explanation:
∠J and ∠K are supplementary angles
Supplementary angles have a sum of 180°
Thus, ∠J + ∠K = 180
110 + ∠K = 180
subtract 110 from each side
180 - 110 = 70
110 - 110 cancels out
we're left with ∠K = 70°
You deposit $6000 in an account that earns 3% annual interest. Find the balance after 6 years if this interest is
compounded with the given frequency.
The coordinates of the vertices of parallelogram MATH are M(-7,5), A(6,5), T(4,-2), and H(-9,-2). What are the coordinate of G, the point of intersection of diagonals MT and ?
Answer:
[tex]G = (-1.5,1.5)[/tex]
Step-by-step explanation:
Given
[tex]M = (-7,5)[/tex]
[tex]A = (6,5)[/tex]
[tex]T = (4,-2)[/tex]
[tex]H = (-9,-2)[/tex]
Required
Determine the coordinate of G
From the complete question, G is at the intersection of MT and AH.
So, G is calculated using midpoint formula
[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]
For MT:
[tex]M = (-7,5)[/tex] [tex]T = (4,-2)[/tex]
[tex]G = \frac{1}{2}(-7 + 4, 5 -2)[/tex]
[tex]G = \frac{1}{2}(-3, 3)[/tex]
Open bracket
[tex]G = (-1.5,1.5)[/tex]
To show that [tex]G = (-1.5,1.5)[/tex]
We have:
[tex]A = (6,5)[/tex] [tex]H = (-9,-2)[/tex]
[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]
[tex]G =\frac{1}{2}(6-9,5-2)[/tex]
[tex]G = \frac{1}{2}(-3, 3)[/tex]
Open bracket
[tex]G = (-1.5,1.5)[/tex]
Hence, the coordinates of G is:
[tex]G = (-1.5,1.5)[/tex]
can some help 10 points and brainllest for the first answer
Answer:
1. 24w+8
2. 4s+28t
3. 150-75b
7/2 x+1/2x=1/2+9/2x help
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
Step 1: Simplify both sides of the equation.
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
[tex](\frac{7}{2}x+\frac{1}{2}x)=\frac{9}{2}x+\frac{1}{2}[/tex] (Combine Like Terms)
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
Step 2: Subtract [tex]\frac{9}{2}x[/tex] from both sides.
[tex]4x-\frac{9}{2}x=\frac{9}{2}x+\frac{1}{2}-\frac{9}{2}x[/tex]
[tex]\frac{-1}{2}x=\frac{1}{2}[/tex]
Step 3: Multiply both sides by [tex](\frac{2}{-1})[/tex].
[tex](\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{1}{2})[/tex]
[tex]x=-1[/tex]
Therefore, [tex]x=-1[/tex] will be your final answer.
Sorry this took very long. I had to calculate all of this.
I NEED HELP ASAP!!! What is the value of a?
9514 1404 393
Answer:
C. 17.25
Step-by-step explanation:
The product of distances from the common point to the two circle intersection points is the same for each secant.
5(5+12) = 4(4+a)
69 = 4a . . . . . . . . subtract 16, simplify
17.25 = a . . . . . . . divide by 4
Select the correct answer.
Which graph represents a function?
Answer:
B
Step-by-step explanation:
graph A does not appear to pass the 'vertical line test'
solve for x please helppp!!!
Answer:
95.2
Step-by-step explanation:
because u multiply 8.5 by 11.2 and get 95.2
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:D..the diagonals bisect each other. Since bisectors divide the diagonals equally in two parts.
Answer:
C.
Step-by-step explanation:
What is the quotient of 6.58* 10^6 and 4.7×10^3
expressed in scientific notation?
Answer:
1.4 · 10³
Step-by-step explanation:
6.58 · [tex]10^{6}[/tex] ÷ 4.7 · 10³
6.58 ÷ 4.7 = 1.4
[tex]10^{6}[/tex] - 10³ = 10³
1.4 · 10³
Answer:
3.0926 x 10^10
Step-by-step explanation:
56. What is the domain and range of the
graph below?
9514 1404 393
Answer:
domain: x ≥ -5range: y ≥ -1Step-by-step explanation:
The graph of this square root function extends upward and to the right of the point (-5, -1). The domain is the horizontal extent of the graph, so is ...
x ≥ -5
The range is the vertical extent of the graph, so is ...
y ≥ -1
Which factors of −14 are used to factor x2+5x−14?
Answer:
+ 7 and - 2
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
x² + 5x - 14 = (x + 7)(x - 2) ← in factored form
Mancuso wants to draw a sector whose area is 2 times the area of the sector shown
Which method will NOT work?
Answer:
Multiply the radius, r, by 2. Keep the angle measure x.
Step-by-step explanation:
The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.
The area of the sector given is -
A = {x/180} x πr²
For the area to be double, we can write the area of the sector as -
A{new} = 2 × {x/180} × πr²
A{new} = {x/90} × πr²
Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
To solve more questions on sectors, visit the link-
brainly.com/question/29014197
#SPJ2
(1, -3) and (0,-1)
Equation: y=-2x-1
Slope:-2
Y-intercept:___?
Answer:
-1
Step-by-step explanation:
15 point:Which label on the cone below represents the center of the base?
Answer:its C because the base is the bottom of the figure and C goes to the middle point at the bottom of the figure
Step-by-step explanation:
Mr Johns surveyed students in his math classes to determine how many hours they use their cell phones each day. The results are shown in the dot plot below what is the range of his data
Answer:
17
Step-by-step explanation:
Range is the biggest number minus the smallest number. So 20-3=17
Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?
Answer:
A triangle is dilated by scale factor of 1/5
Step-by-step explanation:
A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.
A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the following correctly describes the effect on the surface area? Help ASAP!!!
Answer:
The surface area is multiplied by 1/4.
Step-by-step explanation:
HELP ASAP PLEASE
(3^2)^4
Answer:
6561
Step-by-step explanation:
3^2= 3*3=9 9^4= 9*9*9*9= 6561
Answer:
[tex]((3)^2)^4 = (9)^4 = 6561\\\\\\OR\\\\\\(3)^2)^4= 3^8 = 6561[/tex]
The diameter of a circle is 22 meters. What is the circle's area?
Answer:
Step-by-step explanation:
A=3.14 x 22m x 22m
A=69.08m x 22m
A=1519.76m2 (squared po yan)
Consider the diagram below with parallel planes D and N.
Which of the following statements about the figure are true? Select all that apply.
FA is a line, line segment, and a ray.
Lines rands are perpendicular,
Ray RO and Ray CA form an angle.
A FA is a line, line segment and a ray
B lines r and s are perpendicular
C Ray RO and Ray CA form an angle
D M and C are Collin war and coplanar
E F, O, and R are coplanar in D
F Ray MC and Ray CA form a 90 degree angle
G using segment addition postulate, FO + OC = FA
Answer:A
Step-by-step explanation:line segment
2 1/8 - 1/2
PLEASE TELL ME STEP BY STEP AS FAST AS POSSIBLE
THANK YOU!
[tex]2\frac{1}{8} - \frac{1}{2} = \frac{8*2+1}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1*4}{2*4} = \frac{17}{8} - \frac{4}{8} = \frac{17-4}{8} = \frac{13}{8} = 1\frac{5}{8}[/tex]
A soup can will have a radius of 4 cm and a
height of 10.5 cm. How much metal is needed
to make the can?
Answer:
It's about 365 cm²Step-by-step explanation:
2×πr² + 2πr×h =
= 2×π×4² + 2π×4×10.5 =
= 32π + 84π =
= 116π ≈
≈ 364.42 cm²
The total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We have:
The radius of the soup can r = 4 cm
The height of the soup can h = 10.5 cm
We know the surface area of the cylinder:
[tex]\rm S = 2\pi r(r+h)[/tex]
[tex]\rm S = 2\pi \times 4(4+10.5)[/tex]
S = 364.42 square cm
Thus, the total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
Simplify: (3x2 + 4x – 3) - (4.x2 – 3x + 2)
Answer:
[tex] - {x}^{2} + 7x - 5[/tex]
Step-by-step explanation:
Hope it is helpful....
Find the number that makes the ratio equivalent to 1:2.
9:
Answer:
9:18
Step-by-step explanation:
1:2 means that you have to multiply the first number by 2 to get the second number. Therefore, you have to multiply 9 by 2, which is equal to 18. Therefore, it would be 9:18.
If this has helped please mark as brainliest