Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4} [/tex]
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
what is the y intercept of the line that has a slope of 4 and goes through the point (-3,12)
Answer:
the y-intercept would be 24
Step-by-step explanation:
hope this helps! :D
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
If the triangles are similar, write a valid similarity statement.
Answer:
the AA~ congruency could be used, because
angle w=y,
angle t=z
and angle x is common
Step-by-step explanation:
That was my answer and I got it right :)
The given triangles are not similar.
What is similarity of triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given a figure of two triangles, ΔWXT and ΔYXZ
Here,
28/35 ≠ 30/38
WX/YX ≠ XT/XZ
We can conclude that, the corresponding sides are not in common ratio, so triangles are not similar.
Hence, The given triangles are not similar.
For more references on similarity in triangles, click;
https://brainly.com/question/25882965
#SPJ5
solve k/2 - 2k + 1=7
Answer:
=
−
4
Step-by-step explanation:
2
−
2
+
1
=
7
Answer:
Ok that other answer is invalid the actual answer is = -4
Step-by-step explanation:
If you need a step by step let me know :)
determine whether the triangles are congruent by sss sas asa aas or hl.
Answer:
sas :)
Step-by-step explanation:
Which graph represents y - 1 = 2(x - 2)?
Answer: there isn’t a graph shown
Step-by-step explanation:
Find the 64th term of the arithmetic sequence 2, -3, -8, ...
Answer:
-496
Step-by-step explanation:
minus 5
please help picture included:)
Answer:
y = 75
z = 43.3
Step-by-step explanation:
To find the value of y we use the trigonometric identity Sine.
[tex]sin\ 30 = \frac{y}{150}\\\\y=150*sin30\\y= 75\\[/tex]
Now to find the value of z we can use the trigonometric identity Tangent.
[tex]tan\ 60=\frac{y}{z}\\\\z=\frac{y}{tan\ 60}[/tex]
We know the value of y is 75 so it becomes,
[tex]z=\frac{75}{1.732} \\\\z=43.3[/tex]
Answer:
y=-150 ' z = - 468
Step-by-step explanation:
Sin angle = opp/hyp
Cos 30 = y/150
y = 150 ×( cos30)
y= - 150
Tan angles = opp / adj
Tan 60 = - 150 / Z
Z = (-150) / tan 60
Z = (-150) / 0.32
Z= - 468
please help with question. The answer choices are:
14
8
5
22
Answer:
14
Step-by-step explanation:
If AC = 24, you just have to subtract AB = 10 from AC to find BC.
24 - 10 = 14
What is the rate of change (Slope) of the cost with respect to the number of miles for the Yellow Cab Company?
Answer:
The slope would be 2
Step-by-step explanation:
All you do is pick two order pairs: (2,6) and (4,10), then you do y1 - y2, so 10-6 to get 4 then do x1 - x2, so 4 - 2 which is 2, then you divide 4 by 2 to get 2.
If x2 = 10, what is the value of x?
Answer:
The value of x is 5
Step-by-step explanation:
5 x 2 = 10
x= ±[tex]\sqrt{10} =[/tex] ± 3.1623
simplifyied~x = 5
A parachutist’s rate during a free fall reaches 216 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Answer:
216.00 = 134.22
Step-by-step explanation:
216.1 =134.22
Help Hurry!!! Timed!!!!!
This is multipling fractions 3x8/9=
Answer:
8/3
Step-by-step explanation:
to multiply 3 by 8/9 then convert 3 into a fraction
3/1 x 8/9 (multiply across)
24/9 (now simplify)
8/3
14) The value of y varies directly with x, and y = 3.6 when x = 6. Find y when x= 48.
Please and thank you. I needed now. Please help
Answer: y = 28.8
Step-by-step explanation:
By using ratios
if the values vary with each other, then they will increase the same amount. 6x8 is 48. So 3.6 x 8 is your answer, 28.8
One evening, a restaurant served a total of 3 1/3 loaves of wheat bread and 1 1/3 loaves of white bread. How many loaves were served in all?
Answer:
4 2/3
Step-by-step explanation:
Find the slope of the line by using the graph below.
1 2
3 4 5 6
2 * 2 * 4 * 5 * 6 * 2 * 2 * 5 * 7 * 5 = ? will mark brainliest!
Answer:
336,000
Step-by-step explanation:
2 × 2 = 4 x 4 = 16 × 5 = 80 × 6 = 480 x 2 = 960 x 2 = 1920 × 5 = 9600 x 7 = 62700 × 5 = 336,000
The distance between two cities on a map is 4.125 inches.
Find the actual distance if the scale on the map is 2=inches
40 miles.
A. 41.25
B 50
C 82.5
D 165
Answer:
This is really easy it's D
Step-by-step explanation:
Answer:
It's C: 82.5
Step-by-step explanation:
I need help please and thank you
Answer:
A
Step-by-step explanation:
Every integer is a __________ number.
A. natural
B. rational
C. negative
D. whole
Answer:
B. rational
Explanation:
Every integer is a rational number since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number.
Could I get help with this one?
Answer:
x3
Step-by-step explanation:
Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?
Answer:
n = -19/14
Step-by-step explanation:
Please transcribe this into a symbolic equation:
26n + 4 = 12n - 15
Then 14n = -19, or n = -19/14.
PLEASE HELP MEH ON THIS ASAP!!!!
Answer:
b
Step-by-step explanation:
Answer:
option B
Step-by-step explanation:
a is located in the left side of 0 . HENCE IT IS A NEGATIVE NUMBER . b & c are on the right side of 0. HENCE BOTH ARE POSITIVE NUMBER
In option B , it's given that -a > -c . If we'll verify this statement , we'll find that when we put the negative sign in a , the all totla value of a becomes positive BECAUSE 'a' WAS A NEGATIVE NUMBER.
Now if we put a negative sign in c , the all total value becomes negative BECAUSE 'c' WAS A POSITIVE NUMBER.
By comparing -a & -c , we'll get to know that :-
-a > -c
Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded monthly. If Cooper does not deposit or withdraw any money from the account, how much will be in the account in 25 years
Answer:
After 25 years, Cooper will have $29,093.01 in his savings account.
Step-by-step explanation:
While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:
X = 20,000 (1 + 0.015 / 12) 25x12
X = 29,093.01
Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.
Solve the system, enter ur answer as an ordered triple.
Answer:
x = 1, y = -1, z = 3
Step-by-step explanation:
x - 2y + 2z = 9
y + 2z = 5
z = 3
According to the last equation, z is equal to 3 so we can plug that in and our new 2 equations will be:
x - 2y + 6 = 9
y + 6 = 5
We can subtract 6 from both sides of the second equation to end up with:
y = -1
Now plugging this into the first equation, we have:
x + 2 + 6 = 9
x + 8 = 9
Subtract 8 from both sides
x = 1
What are the coordinates of point A′ if triangle ABC is rotated 90° to produce the image triangle A′B′C′?
A.(-9,-4)
B. (4,-9)
C. (9,-4)
D. (9,4)
Answer:
(9,-4)
Step-by-step explanation:
its right hope it's helpful
jill bought 14 feet of fabric. the fabric cost $3.25 a foot, including tax. what is the total cost of the fabric?
Answer:
$45.5
Step-by-step explanation:
3.25 times 14 is 45.5
Answer:
$47.74
Step-by-step explanation:
Sales tax rate: 5%;
Price without tax: $3.25 dollars;
Amount of sales tax ≈ $0.16 dollars;
Price with sales tax ≈ $3.41 dollars;
Detailed calculations below:Amount of sales tax =
Sales tax rate × Price without sales tax =
5% × 3.25 =
5/100 × 3.25 =
0.05 × 3.25 =
0.1625 ≈
0.16;
Price with sales tax =
Price without sales tax + Amount of sales tax =
3.25 + 0.1625 =
3.4125 ≈
3.41;
means that we need to do 3.41 times 14 there your answer
Help me with this please
Answer:
It would be -13
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
You need to separate the 8 from each side of the equation. Picture it like this:
-104= 8 (multiplied by) x
To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.
-104/8=8x/8
-13=x
48 x 56 in area model
Answer:
2688
Step-by-step explanation:
A polynomial function has a root of -6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2 and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?
The graph of the function is positive on (-6, -2). The graph of the function is negative on (-∞, 0). The graph of the function is positive on (-2, 4). The graph of the function is negative on (4,∞)
9514 1404 393
Answer:
(a) The graph of the function is positive on (-6, -2)
Step-by-step explanation:
A function of odd degree and positive leading coefficient will be negative from -∞ to the left-most zero. Here, that zero is -6. The multiplicity of that zeros is odd (1), so the sign changes to positive at that point, and remains positive until the next odd-multiplicity zero, which is -2, with multiplicity 3.
Hence the function is positive on the interval (-6, -2), matching choice A.
Answer:
a
Step-by-step explanation: