Answers
Answer:
Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.
Step-by-step explanation:
The slope-intercept form of a line is given as:
[tex]y = mx+b[/tex]
Here m is the slope and b is the y-intercept
m is calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Given points are:
[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]
Putting the values in the formula
[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]
Putting m=-2/3 in equation
[tex]y= -\frac{2}{3}x+b[/tex]
Putting (9,-1) in equation
[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]
Putting the value of b
[tex]y = -\frac{2}{3}x+5[/tex]
Hence,
Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.
Related Questions
Given the function below, what value will result in f(x)=10?
f(x)=1/2x+8
Answers
2 = 1/2x
X = 4
1/(2x)=2
1=4x
X=1/4
When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°
angle of depression. How far away was Ren from her family (ground distance)? Round to the
nearest tenth of a meter.
Write answer like this: ##.# m.
(5 Points)
Enter your answer
Answers
Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function h(t)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. Determine when the balloon is more than 10 feet above the ground. Round your answer to the nearest thousandth.
Answers
Answer:
t>2.034s and t>0.154s
Step-by-step explanation:
Given the quadratic function h(t)=-16t^2+35t+5 which represents the height of the balloon, h, in feet t seconds after it is thrown.
To determine when the balloon is more than 10feet above the ground, we will substitute h = 10 into the expression to have;
h(t)=-16t^2+35t+5
-16t^2+35t+5>10
-16t^2+35t+5-10>0
16t^2-35t+5>0
Find t;
t > 35±√35²-4(16)(5)/2(16)
t>35±√1225-320/32
t>35±√905/32
t>35±30.08/32
t > 35+30.08/32 and t > 35-30.08/32
t>65.08/32 and t>4.92/32
t>2.034s and t>0.154s
Hence the balloon is more than 10feet above the ground at when t>2.034s and t>0.154s
Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4
inches every hour. The water in Tank B is 10 inches deep, and the depth is increasing by 2 inches every hour.
Write an inequality to determine when the water in Tank A will be deeper than the water in Tank B.
I need an inequality written for what is written above please!!!
Answers
Answer:
i think it is this:
tank a: 6 hours?
tank b: 7 hours?
Step-by-step explanation:
sorry if im wrong if you can please give me brainliest<3 have a good day
Please help me with this
Answers
Answer:
B 4/3
Step-by-step explanation:
3^32^9/3^42^7
B 4/3
Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5
Answers
Answer:
11.906
23.806
Step-by-step explanation:
here you go also can you check my account for some lyrics i posted :)
I need help here plz
Answers
Answer:
E -5
Step-by-step explanation:
heLp pLs aNd tHanK yOUz
Answers
Answer:
5
1
20
4
35
7
45
9
50
10
Step-by-step explanation: each table holds 5 people, multiply the number of tables by 5 or divide the number of people by 5 to see how many tables needed
Write the inequality graphed below. Use "x" as your variable
Answers
Answer:
x is greater than or equal to 3. x > 3
Step-by-step explanation:
(04.01 LC)
The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are
- 4). (5 points)
Answers
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
Answer:
it would be (2,-4)
Step-by-step explanation:
correct me if I'm wrong
Stay Safe
Stay Strong
Stay Awesome
You randomly select one truck owner. What is the probability that he owns a Dodge or has four
wheel drive?
Answers
Answer:
50%
Step-by-step explanation:
hope this helped
Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29
Answers
Answer:
B, 36
Because, a composite number has factors
The others are prime
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I need help with this please. I already did this problem but I think I made a mistake can you please look it over?
Answers
Answer:
it is corect
Step-by-step explanation:
Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc where the measures of the corresponding central angles are the same. What is the relationship between the arc lengths in the two circles? Explain. (2 points)
Answers
Answer:
[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles
Step-by-step explanation:
Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and
[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.
So,
[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]
This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]
As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]
[tex]\frac{l}{r}=\frac{L}{R}[/tex]
As radius of one circle is twice the radius of the other circle,
[tex]R=2r[/tex]
[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]
Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?
Answers
Answer:
The difference between the high and low temperatures is 29°F
Step-by-step explanation:
Subtraction
The high temperature in Denver, Colorado was 25°F on Monday.
The low temperature was -4°F in the same place.
We are required to find the difference between the high and low temperatures.
We need to subtract 25 and -4:
Difference = 25°F - (-4°F)
Note we change the sign of the subtraction multiplying (-1) by (-1);
Difference = 25°F + 4°F
Difference = 29°F
The difference between the high and low temperatures is 29°F
Mrs. Martinez uses 1.5 pounds of flour for each loaf of bread she makes. How many
complete loaves of bread could she make with a 25-pound bag of flour?
A 16
B 17
C 26
D 37
I feel like its A or B bu idk which.. HELP
Answers
Answer:
16
Step-by-step explanation:
How do you solve (3×-2)^3
Answers
Answer:
the answer should be -216
2. D-Vee-Ta Supermarket sells pears or $1.68 per kilogram. Estimate the prices for each
amount of pears. Explain how you made your estimation. Use may use the ratio table to
help in your explanation.
1
2
3
4
5
6
$1.68
3.36
5.04
6.72
2.a. 2.75kg
2.b. 0.19kg
Answers
Answer:
2.a. The price of 2.75 kg of pears is $4.62
2.b. The price of 0.19 kg of Pears is $ 0.3192
Step-by-step explanation:
The given parameters are;
The price of each kilogram of Pears = $1.68
Therefore, we have;
The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears
2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62
The price of 2.75 kg of pears = $4.62
2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192
Plz help I will mark branindiest?
Answers
Answer:
the answer is on google
Evaluate the expression. Need Answer Asap
Answers
Answer:
3
Step-by-step explanation:
(4p-m)/4
m=-4 and p=2
Since you know what m and p represent, it shouldn't be hard to solve.
(4 [2] - [-4] )/4 The 4 would be positive since there are two negatives.
(8 + 4)/4 Do the work inside the parenthesis first...
(12)/4 now divide.
Answer:
I hope this helps
Step-by-step explanation:
plz mark brainliest
HELPPP :(
Max is mountain hiking at a constant rate.
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.
Which statement best describes Max's elevation, given this equation?
Max started at a height of 10 meters and is ascending at 30 meters per hour.
Max started at a height of 10 meters and is descending at 30 meters per hour.
Max started at a height of 30 meters and is ascending at 10 meters per hour.
Max started at a height of 30 meters and is descending at 10 meters per hour.
(If you don’t know the answer, please don’t spam :<)
Answers
Answer:
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
The statement that best describes Max's elevation, given this equation is
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
Given that,
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.Explanation regarding the statement:The max should begins at the height of 30 meters. And, the ascending at 10 meters per hour.Learn more about the height here: https://brainly.com/question/5281804
In Cary's basketball career, he's made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, what is the range of successful free throws he can expect to make?
Answers
Answer:
150 to 170 successful free throws
Step-by-step explanation:
Total % of free throws made = 80%±5%
If attempted number of free throws = 200
Range of successful free throws to expect :
(80% - 5%) of 200 TO (80% + 5%) of 200
75% of 200 TO 85% of 200
(0.75 * 200) TO (0.85 * 200)
150 TO 170
150 - 170 successful free throws
Brainliest to right answer.
Answers
Answer:
c=-5
Step-by-step explanation:
Answer:
c = -5
Step-by-step explanation:
This is the answer because:
1) We first have to isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
Eric and Shiloh each have a savings account. The ratio of Eric's balance to Shiloh is 4:3. Together they have a total of $40 in their accounts. How much money does each bar represent
Answers
Answer:
[tex]Eric= \$22.86[/tex]
[tex]Shiloh = \$17.14[/tex]
Step-by-step explanation:
Represent Eric with E and Shiloh with S;
[tex]E:S = 4:3[/tex]
[tex]Total = \$40[/tex]
Required
Determine the how much money each have
We have to convert the ratio to fraction;
For Eric, we have
[tex]Eric= \frac{E}{E + S} * Total[/tex]
[tex]Eric= \frac{4}{4 + 3} * \$40[/tex]
[tex]Eric= \frac{4}{7} * \$40[/tex]
[tex]Eric= \frac{\$160}{7}[/tex]
[tex]Eric= \$22.86[/tex]
[tex]Shiloh = Total - Eric[/tex]
[tex]Shiloh = \$40 - \$22.86[/tex]
[tex]Shiloh = \$17.14[/tex]
Lisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads Tim uses 9 red beads for every 6 yellow beads Is the ratio of red beads to yellow beads in lisas necklace equivalent to the ratio in tim's necklace?
Answers
Answer:
No
Step-by-step explanation:
Lisa: 5 red beads to 3 yellow beads
Tim: 9 red beads to 6 yellow beads
5/3 & 9/6
5/3(2/2) = 10/6
10/6 & 9/6
10/6 > 9/6
10/6 is in fact greater than 9/6. So the answer is no.
5/8 divided by 1 and 1/3?
Answers
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answers
Answer:
The Value of x would be 3
Step-by-step explanation:
Answer is A
Answer:
A. 3
Step-by-step explanation:
question in pic. please help!
Answers
Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Mr. Sampson fills the family pool with water for
the summer. After two hours, the water has
reached a depth of 2.5 feet. After three hours,
the water level has risen to 3 3/4feet. If the
relationship between time and water depth is
proportional, what is the constant of
proportionality?
Answer
A.1
B.1 1/4
C.1 1/2
D.2
Answers
Answer:
A, because the difference between 2.5 and 3 3/4 is 1. Thanks!
The diameter of a proton is 1.7 x 10-15 meters and the diameter of an atom is 5 x 10-10 meters. What is the difference in the diameters? Write your answer in scientific notation.
Answers
Answer:
[tex]4.99\times 10^{-10}\ m[/tex]
Step-by-step explanation:
Given that,
The diameter of a proton is 1.7 x 10⁻¹⁵ meters
The diameter of an atom is 5 x 10⁻¹⁰ meters.
We need to find the difference in the diameters.
[tex]D=5\cdot10^{-10}-1.7\cdot10^{-15}\\\\=4.99\times 10^{-10}\ m[/tex]
So, the difference in the diameter is [tex]4.99\times 10^{-10}\ m[/tex].