Answer:
[tex]ST = 10[/tex]
Step-by-step explanation:
Given
[tex]RT =4x[/tex]
[tex]ST = 5x - 10[/tex]
[tex]RS = 6[/tex]
Required
Determine ST
Since S is on RT, we have that:
[tex]RT = RS + ST[/tex]
[tex]4x = 5x - 10 + 6[/tex]
[tex]4x = 5x - 4[/tex]
[tex]4x - 5x= - 4[/tex]
[tex]-x= - 4[/tex]
[tex]x= 4[/tex]
Substitute 4 for x in [tex]ST = 5x - 10[/tex]
[tex]ST = 5 * 4 - 10[/tex]
[tex]ST = 20 - 10[/tex]
[tex]ST = 10[/tex]
Answer: It Equals 8
Step-by-step explanation:
Point S is on line segment \overline{RT}
RT
. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.
ST
.
\text{Label known information:}
Label known information:
R
S
T
2x + 7
5x – 7
RT = 4x + 9
RS+ST=
RT
Segment addition postulate
\color{darkgreen}{2x+7}+\color{darkblue}{5x-7}=
2x+7+5x−7=
\,\,\color{darkred}{4x+9}
4x+9
Substitute expressions
7x=
7x=
\,\,4x+9
4x+9
Combine like terms
-4x\phantom{=}
−4x=
\,\,-4x
−4x
3x=
3x=
\,\,9
9
\frac{3x}{3}=
3
3x
=
\,\,\frac{9}{3}
3
9
Divide by 33
x=
x=
\,\,\color{darkgreen}{3}
3
\text{Plug in value of }x\text{ to find }ST\text{:}
Plug in value of x to find ST:
ST=5x-7=5\left(\color{darkgreen}{3}\right)-7=8
ST=5x−7=5(3)−7=8
\text{You can plug }x\text{ into each expression:}
You can plug x into each expression:
Optional to check work
R
S
T
2(3) + 7
5(3) – 7
RT = 4(3) + 9
\text{Simplify:}
Simplify:
R
S
T
13
8
RT = 21
\text{Final Answer:}
Final Answer:
ST=\color{green}{\mathbf{8}}
ST=8
Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.
Point-Slope Form
Slope-Intercept Form
Standard Form
Answer:
y-5=1/3(x-3)
y=1/3x+4
no standard form
Step-by-step explanation:
write in the simplest form 5.73 - ( -3.56)
Answer:
9.28
Step-by-step explanation:
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
A. -6,144
B. -118,098
C. -3,072
D. -354,294
Answer:
C
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 3 and r = 2 , thus
a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C
What is the value of the expression below?
8 *divide* 2 + 6x5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
30 + 4 = 34
4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?
Answer:
c
Step-by-step explanation:
Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.
Answer:
100+x=200
Step-by-step explanation:
In the equation y = 2π^x, 2 is the ______ and π is the ______.
Answer:
pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.
Step-by-step explanation:
help pleaseeeeeeeee
Answer:
its a little blury but i got -3,-9
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–3t
i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8
Answer:
14
Step-by-step explanation:
-6+x=1
8
-6+x=1×8
x=8+6
x= 14 ans
Match the function below with its corresponding graph or value
Answer:
Step-by-step explanation:
c 11). f(x) = - 5x ; f(4) = - 5(4) = - 20
e 12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11
b 13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15
a 14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1
f 15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down
find the missing angle
129 degrees is the correct answer for the missing angle number 1 :)
(3,-7); m=4/3 write in standard form
Answer:
In standard form it will be 4x-3y=33
Step-by-step explanation:
What is the c.o.p. that describes the relationship between h and t.
distributive property is a property of equality
A) true
B) false
Answer:
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.
Can someone please help me with this? It’s the last problem I need to turn in a test, I will mark brainliest :(
Answer:
33b - 8
Step-by-step explanation:
You solve for the perimeter like you would for any other shape by adding all the sides
The perimeter is side A + side B + side C.
so it's 9b+8 + 12b-8 + 12b-8
Add all the like terms
9b + 12 b + 12b = 33b
8 - 8 - 8= -8
= 33b -8
What’s the answer for 65°
15x + 10
Answer:
7
Step-by-step explanation:
65° + 15x + 10 = 180° (co-interior angles are equal)
15x + 75° = 180°
15x = 180° - 75°
15x = 105°
x = 105/15
x = 7
Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, S, for this event?
Answer:
S = {ABC, ABD, ACD, BCD}
Step-by-step explanation:
We are told that Ariana, Boris, Cecile, and Diego are students in the service club.
Let's denote their names with letters;
Ariana = A
Boris = B
Cecile = C
Diego = D
We are told that Three of the four students will be chosen to attend a conference. This means that the sample space will be a set showing combination of any 3 out of the 4 students.
Thus, sample space is;
S = {ABC, ABD, ACD, BCD}
Answer:
A
Step-by-step explanation:
Can someone please help me with this and show work as well
5-10m
WHATS THIS ANSWER?.
.
.
..
.
.
Answer:
-5 is the answer
Step-by-step explanation:
What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°
Answer:
56°
Step-by-step explanation:
The interior angles of a triangle add up to 180.
You would first set up the following problem:
91 + 33 + x = 180
You would now subtract 91 from both sides.
33 + x = 89
You would now subtract 33 from both sides.
x = 56
The value of x is 56 degrees.
Angle of triangle D is 56 degrees.
What is a triangle?"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."
We have
Angle sum property of a triangle = [tex]180^{0}[/tex]
<B + <C + <D = [tex]180^{0}[/tex]
⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]
⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]
⇒ [tex]x^{0}=56^{0}[/tex]
The value of x is 56 degrees.
Hence, angle of triangle D is 56 degrees.
Learn more about triangle here
https://brainly.com/question/8492819
#SPJ2
Infer Jamal is in a car going north. He looks out his window and thinks that the northbound traffic is moving very slowly. Ellen is in a car going
south. She thinks the northbound traffic is moving quickly. Explain why Jamal and Ellen have different ideas about the motion of the traffic.
Answer:
relax jamal dont pull up the 9
Step-by-step explanation:
7 divided by c expression
Answer:
7/c
Step-by-step explanation:
7 divide by c is the same as 7/c
PLEASE HELP FAST
The midpoint of AB is M(-4, 0). If the coordinates of A are (-6, 6), what are the coordinates of B?
Answer:
The coordinates of B are: (a, b)=(-2, -6)
Step-by-step explanation:
Let (a, b) be the coordinates of the point 'B'.
As
The midpoint of AB is M(-4, 0)
The coordinates of A are (-6, 6)
The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)
[tex]x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}[/tex]
-4 = (-6+a)/2 and 0 = (6+b)/2
-8=-6+a
-8+6=a
a=-2
0=(6+b)/2
0=6+b
b=-6
Therefore, the coordinates of B are: (a, b)=(-2, -6)
ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan
Answer:
18 months
Step-by-step explanation:
since 1350/75 is 18
please help me with this it’s due soon
Answer:
39.5 degrees
Step-by-step explanation:
180-101=79
79/2=39.5
Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals
Answer:
y+1 = 3/4(x-1)Step-by-step explanation:
Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.
The point slope form of the equation is generally expressed as;
y -y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Get the slope first;
m = y2-y1/x2-x1
m = 2-(-1)/5-1
m = 3/4
Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation
y - (-1) = 3/4 (x-1)
y+1 = 3/4(x-1)
Hence the required equation is y+1 = 3/4(x-1)
For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)
A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8
Answer:
B. A = 1, B = 0, C = 8
Step-by-step explanation:
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (8, 6) with x- coordinate 8, thus
x = 8 is the equation of the vertical line
In comparison to
Ax + By = C, then
A = 1, B = 0, C = 8, that is
x + 0 = 8
x = 8 being the required equation
Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)
Answer:
[tex]d=9.2[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -5)
Point (-2, 1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-2-5)^2+(1-(-5))^2}[/tex]Simplify: [tex]d = \sqrt{(-2-5)^2+(1+5)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-7)^2+(6)^2}[/tex]Evaluate: [tex]d = \sqrt{49+36}[/tex]Add: [tex]d = \sqrt{85}[/tex]Evaluate: [tex]d=9.21954[/tex]Write in point-slope form an equation for the line through
the point (2, -3) that has the slope of -2. Use point-slope
form
Answer:
y=-2x+1
Step-by-step explanation:
y-y=m(x-x1)
y-(-3)=-2(x-2)
y+3=-2x+4
-3 -3
y=-2x+1