What is a linear function in the form y=mx+b for the line passing through (2, -4) with y-intercept 2?
Answers
Answer:
A linear function in the form y = m·x + b for the line passing through the point (2, -4) with y-intercept 2 is;
y = -3·x + 2
Step-by-step explanation:
From the question, it is required to find the a linear equation passing through the point (2, - 4) with a y-intercept 2 in the form y = m·x + c
Given that the y-intercept is the point at which the line cuts the y-axis, we have, x = 0
Therefore, we have the point on the line representing the y-intercept is (0, 2)
Therefore, the slope of the graph is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we have;
[tex]Slope, \, m =\dfrac{2-(-4)}{0-2} = \dfrac{6}{-2} = -3[/tex]
The equation of the graph in point and slope is given as follows;
y - 2 = -3 × (x - 0) = -3 × x
Therefore, the equation of the line in the form y = m·x + c is given as follows;
y - 2 + 2 = -3 × x + 2
∴ y = -3·x + 2
The equation of the line in the form y = m·x + c is y = -3·x + 2.
Related Questions
Carmen purchased a prepaid phone card for $20. Long distance calls cost 6 cents a minute using this card. Carmen used her card only once to make a long
distance call. If the remaining credit on her card is $18.68, how many minutes did her call last?
00
minutes
Х
?
E
Answers
Answer:
22
Step-by-step explanation:
f(x) = 10-x and g(x) = x2 + 1
What is g(8) + f(7)
Answers
uh can someone help
Answers
Answer:
65
Step-by-step explanation:
<S = <t
x + 50 = 3x + 20
2x = 30, x = 15
. <t = <v
3x + 20 = 45 + 20 = 65
Answer:
b. 65 degrees.
Step-by-step explanation:
m < RST = m < STU (alternate angles), so
x + 50 = 3x + 20
50 - 20 = 3x - x
2x = 30
x = 15.
Now m < RVT = m < RST ( opposite sides of a parallelogram are equal).
So m < RVT = x + 50 = 15 + 50 = 65.
Which number below is an example of a natural number?
A.-2
B.2/5
C.3
D.4.5
Answers
Answer:
C
Step-by-step explanation:
hello please help i’ll give brainliest if you give a correct answer
Answers
Answser:
It's the first one
Step-by-step explanation:
The dot plot represents the frequency for the average miles per gallon expected for each car at a dealership. Which statement is TRUE? A) 20 is an outlier. B) The number of miles per gallon peaks at 24. C) 4 cars average less than 20 miles per gallon. Eliminate D) No car is expected to average between 33-37 miles per gallon.
Answers
Answer: the answer is d
Step-by-step explanation: I did the USA test prep
Answer:
D) No car is expected to average between 33-37 miles per gallon.
Step-by-step explanation: USATESTPREP
Given parallelogram JKLM, find x? PLS HELP ASAP
Answers
Answer:
add all of the angles together and set them equal to 360 and solve
Step-by-step explanation:
a parallelogram total inside angles are equal to 360 degrees
istg if yall put any links-
Answers
Answer:
0?
Step-by-step explanation:
Compute the perimeter of the figure below. Round to the nearest whole number.
А
5 units
B
10 units
с
12 units
D
14 units
Answers
Answer:
D
Step-by-step explanation:
2 * sqrt(8) + 2 * sqrt(18) = 14
Plzzzzzzzzzzzzzzz help
Answers
Answer:
(5,4)
Step-by-step explanation:
....................
Jen and Kim are together in the park. Jen walks 50 feet north while Kim walk 40 feet west. How far apart are they after their walk?
Answers
Answer:
30 ft
Step-by-step explanation:
This situation forms a right triangle
a ² +b ²= c ²
50 ² + 40 ²= c ²
2,500 + 1,600 = c ²
900 = c ²
√900 = √c²
30 = c
Look at photo I put
Answers
Answer:
The measure of Angle 2 would also be 57 degrees
Step-by-step explanation:
If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750
Answers
Answer:
[tex]\boxed {\boxed {\sf 250 \ people}}[/tex]
Step-by-step explanation:
Let's set up a proportion using the following setup.
[tex]\frac {buses}{people}=\frac {buses}{people}[/tex]
We know 30 buses can carry 1,500 people.
[tex]\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}[/tex]
We don't know how many people 5 buses can carry, so we say 5 buses carry x people.
[tex]\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}[/tex]
[tex]\frac {30 }{1500 }=\frac {5 }{x }[/tex]
Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.
[tex]30*x=1500*5\\30x=7500[/tex]
Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.
[tex]30x/30=7500\\x=250[/tex]
5 buses can carry 250 people.
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Answers
Answer:
ok
Step-by-step explanation:
Answer:
Hola!! Can I please know what this is about??
Pls help and stop using up my dang points;-;
Answers
Answer:
frog
Step-by-step explanation:
Question in the picture (disregard the choice)
Answers
Answer:
D
Step-by-step explanation:
Answer:
A is the right answer of your question but....
I m little bit doubtful about that
What is the following product?
3 Square root of four times square root of three
Answers
Answer:
the answer is option B.
[tex] \sqrt[3]{12} [/tex]
Answers to questions A and B
Answers
Answer:
A. m(arc BC) = 16°
B. m(arc BAC) = 344°
Step-by-step explanation:
From the picture attached,
AB is the diameter of the circle.
Since, measure of an arc is always same as the central angle of arc.
Therefore, m(arc AC) = m(∠ADC) = 164°
m(arc AB) = 180°
m(arc BC) = 360° - m(arc AB) + m(arc AC)
= 360° - (180° + 164°)
= 360° - 344°
= 16°
m(arc BAC) = m(arc AB) + m(arc AC)
= 180° + 164°
= 344°
The discriminant if a quadratic equation is negative. One solution is 4 + 7i. What is the other solution? *
7 - 4i
4 - 7i
- 4 + 7i
7 + 4i
Answers
==========================================================
Explanation:
When you have a quadratic in the form ax^2 + bx + c = 0, where a,b,c are real numbers, then a negative discriminant leads to having a pair of complex roots. The roots come in conjugate pairs meaning that p+qi is one root while p-qi is the other root. The p,q are real numbers.
In the case of 4+7i being one root, we have p = 4 and q = 7, since it matches with p+qi. The other root must be 4-7i since it matches with p-qi.
In short, we flip the plus to a minus when going from 4+7i to 4-7i. All of this applies when we have a,b,c as real numbers.
If we allowed a,b,c to be complex numbers, then the roots may not necessarily come in conjugate pairs.
Circle graphs are used to display information categorical or numerical
Answers
Answer:
it shows percentage of an item or anything else
Answer:
categorical
Step-by-step explanation:
A circle graph is a way of summarizing a set of categorical data or displaying the different values of a given variable.
find the eaxct value of b.
Answers
Answer:
b = 19
Step-by-step explanation:
To make it short and sweet, since one angle is 45 degrees and one angle is 90 degrees, the unknown angle is 45 degrees also. That makes it an isosceles triangle with both legs equal.
b = 19
Help me here with my math question.
Answers
Answer:
B
Step-by-step explanation:
A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A.1000 in .3 B.1300 in .3 C.1200 in. 3 D. 1100 in.3
Answers
Answer:
Volume of a right prism = 65 cubic inches
Its height is increased by a factor of 20.
To find:
The new volume of the prism if the other dimensions do not change.
Solution:
The volume of a prism is:
[tex]Volume=Bh[/tex]
Where, B is the base area and h is the height.
A right prism has a volume of 65 cubic inches.
[tex]65=Bh[/tex]
The height of prism is increased by a factor of 20. So, the new volume is:
[tex]Volume=B(20h)[/tex]
[tex]Volume=20(Bh)[/tex]
[tex]Volume=20(65)[/tex]
[tex]Volume=1300[/tex]
The volume of the new prism is 1300 in³.
Therefore, the correct option is B.
Giving brainliest to anyone who answers
in the diagram below A,B,C and D are points on a circle having center O.
PBT is a tangent to the circle at B
Reflex BOC=O1 =310 as shown in the diagram below
Calculate giving reasons the value of
D1
B3
B1 if it is given that A=60
Answers
D1=25°
B3=25°
B1=30°
Step-by-step explanation:
1. O1+O2=360°(revolution)
310°+O2=360°
O2=360°-310°
=50°
O2=2D1(centre theorem)
50°=2D1
D1=25°
2. D1=B3=25°(tan chord theorem)
3. B2+B3=A=60°(tan chord theorem)
B1+B2+B3=90°(Radius perpendicular Tangent)
B1+60°=90°
B1=90°-60°
=30°
Please only answer if you can help!! Please look at the picture below
Answers
Answer:
3
Step-by-step explanation:
The graph doesn’t go left to x = 3, so the answer is 3
Cual es la respuesta?
Answers
Answer:
58°+90°+x=180°
148°+x=180°
x=180°+148°
x= 32° is your answer ☺️☺️☺️
Answer:
32
Step-by-step explanation:
A rectangle measures 2 4/5 inches by 2 1/5 inches. What is its area?
Answers
The area of the rectangle that measures 2 4/5 inches by 2 1/5 inches is: 6.16 inches².
What is the Area of a Rectangle?Area of a rectangle = (length)(width).
Given the following:
Length of rectangle = 2 4/5 = 2.8 inchesWidth of rectangle = 2 1/5 = 2.2 inches.Area of the rectangle = (2.8)(2.2)
Area of the rectangle = 6.16 inches²
Learn more about the area of rectangle on:
https://brainly.com/question/25292087
#SPJ1
Round the number 74.054 to the nearest tenth
Answers
Answer:
74.054 rounded to the nearest tenth is equivalent to 74.1
Step-by-step explanation:
Since you're rounding 74.054 to the nearest tenth, you need to focus on the hundredths place. If the number on the hundredths place is greater than or equal to 5, then you round up. If not, keep the number in the tenths place the same. In this case, 5 is in the hundredths place, which means you need to round the 0 in the tenths place up by 1. So 74.054 rounded to the nearest tenths is equivalent to 74.1.
Can anyone help me with this math test please i gotta have everything turned in by midnight tn!! I need fast answers asap!! Heres another one of the questions on it!!
Answers
Answer:
D
Step-by-step explanation:
cause 2/3 of 6 is 4
and 1/2 of 4 is 2
A one-dollar bill is 1 × 10–4 meter thick. How tall is a stack of 500 one-dollar bills?
Answers
Answer:
4996
Step-by-step explanation:
Help this help:)
500x10-4= 4996
Answer:
1 x 10 - 4 x 500 = 4,996 meters thick.
Step-by-step explanation: