Answer:
[tex]y=\frac{7}{2} x -8[/tex]
Step-by-step explanation:
We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept
First, we need to find the slope of the line
The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:
[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-8-6}{0-4}[/tex]
Subtract
m=[tex]\frac{-14}{-4}[/tex]
Divide
m=[tex]\frac{7}{2}[/tex]
The slope is 7/2
Here is the equation of the line so far:
[tex]y=\frac{7}{2}x + b[/tex]
We now need to find b
As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.
Taking (4,6) for instance:
[tex]6=\frac{7}{2}(4) + b[/tex]
Multiply
[tex]6=14 + b[/tex]
Subtract
-8 = b
The equation therefore is:
[tex]y=\frac{7}{2} x -8[/tex]
Topic: slope-intercept form
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A concession stand charges $5.75 for 5 muffins. What is the cost per muffin?
A
$1.00
B
$1.15
С
$28.75
D
$10.75
Answer:
B- $1.15
Step-by-step explanation:
5.75 divided by 5 equals 1.15
For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point. (2, -45°)
triangle DEF is formed by connecting the midpoints of the sides triangle ABC. The lengths of the sides of DEF are shown. what is the length of AB
The requried length of the AB is given as AB = 16.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Since triangle DEF is formed by connecting the midpoints of the sides of triangle ABC, the length of the sides of triangle DEF is half the length of the corresponding sides of triangle ABC. That is:
DE = 1/2 AB
EF = 1/2 BC
FD = 1/2 AC
We can use the information about the lengths of the sides of triangle DEF to find the length of AB.
Since DE = 8 and EF = 10, we can use the triangle inequality to find FD:
FD + DE > EF
FD + 8 > 10
FD > 2
Similarly, since EF = 10 and FD = 12, we can use the triangle inequality to find DE:
DE + EF > FD
DE + 10 > 12
DE > 2
Finally, since DE = 8 and FD = 12, we can use the triangle inequality to find EF:
EF + FD > DE
EF + 12 > 8
EF > -4
Since all sides of a triangle must have positive lengths, EF cannot be negative. Therefore, the inequalities we have found imply that:
2 < FD < 12
2 < DE < 8
0 < EF < 10
Since DE = 1/2 AB and EF = 1/2 BC, we can write:
AB = 2DE = 2(8) = 16
BC = 2EF = 2(10) = 20
Therefore, the length of AB is 16.
Learn more about triangles here:
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A triangle with angles of 74° and 16° is?
A. equilateral
B. obtuse
C. isosceles
D. right
E. impossible to draw
Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Answer:
Mr. Esposito is taller by 8 inches
Step-by-step explanation:
Mr. Esposito
12x5 = 60 + 11 = 71
Mrs. Humbert
63 inches = 5 foot and 3 inches
71 - 63 = 8
Mr.Rosenthal wants to make gumbo a type of soup he buys some shrimp for $7.95 an onion for 0.26 and a bunch of celery for $1.03 how much dose he spend on the ingredients
Answer:
$9.24
Step-by-step explanation:
7.95+1.03+.26 = 9.24
Help me with this please
Answer:
6
Step-by-step explanation:
The question indicates that the triangles are similar. The sides of FGH are 12, 15, and 20. The measured side of MNP is 10, which is 1/2 of 20. So since NM is the shortest side, it corresponds to the shortest side of FGH, which is 12. 1/2 of 12 is 6.
Please let me know if you have questions.
240g= _____ kg
What’s is the answer??
Answer:
0.24
Step-by-step explanation:
Answer:
0.24kg
Step-by-step explanation:
The answer is 0.24 kg since
1 gram equals 0.001 kg
1g = 0.001kg
Which is the correct mapping statement for a rotation 180∘ about the origin?
(x,y)↦(y,x)
(x,y)↦(−x,−y)
(x,y)↦(−y,x)
(x,y)↦(y,−x)
Answer:
B
Step-by-step explanation:
it moved twice to the left hand side because it's 180 anticlockwiseAnswer:(x,y)↦(−x,−y)
Step-by-step explanation:
10 POINTS!!!!Which polynomial represents the sum below?
Answer:
B
Step-by-step explanation:
if you combine like terms, you'll get B
A submarine travels 5.5 km due East from its base and then turns and travels due North for 3.4 km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.
Answer:
6.5km
Step-by-step explanation:
If you make a diagram, you'll see the submarine forms a right angle triangle with the base, where the hypotenuse is the length from the submarine to its base, and 5.5 and 3.4 are the side lengths. To find the hypotenuse, use the formula a^2+b^2=c^2.
5.5^2+3.4^=c^2
41.81=c^2
6.466=c
Round it to one decimal point and you get 6.5km.
Answer:
6.5km
Step-by-step explanation:
I think is this I am not really sure
Help if you can :)
Also, show work
thxx <3
Answer:
3. The answer is B: 315 dm³
4. It is A: 47,786 2/3 ft³
Step-by-step explanation:
3.I multiplied Length x Width x Height and then divided by 3
4. I did 64 to the second power and then multiplied it by 35/3
Please help immediately! also don't use a link to a website
Answer:
Step-by-step explanation:
the radius is half the diameter:
7/2 : 2 = 7/2 x 1/2 = 7/4 cm
the circumference is:
diameter x π = 7/2π cm
the approximate circumference is
7/2 x 3,14 = 10,99 cm
In how many ways can a starting team of 5 players be chosen from a team of 14
Answer:
There are thousands of different combinations possible.
Step-by-step explanation:
Sevilya bought a new computer. She had to pay 8% in sales tax. The cost of the computer is $1,000. How much did she pay in total? Show all work
Answer:
1080
Step-by-step explanation:
1000*8%=80
1000+80=1080
Help please 20 points for anyone
Answer:
The answer is B!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Find the area, in square inches, of the following composite figure.
10 in
15 in
5 in
15 in
30 in
I need this one, please
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeee
if the area is 48 square meters what is the length of side R in meter
Answer:
12 m
Step-by-step explanation:
the area of a rectangle is length x width
we know the width, so we can proceed like this:
Lenght = A/width
Lenght = 48/4 = 12 m
This figure is made up of unit cubes , each with a volume of 1 cubic unit . What is the volume of the figure
Answer:
Easy! The answer is 100!
Count how many cubes are in each row, which is 10. Count how many stacks are there, which is also 10. 10 times 10 = 100!
Step-by-step explanation:
Answer:
r
Step-by-step explanation:
What is the value of y in the parallelogram below
okay this makes 0 sense... Show how you can solve the equation 3x=9 by multiplying each side by the reciprocal of 3... need to be the full steps pls
Answer:
x=3
Step-by-step explanation:
3x=9
Divide both sides by 3 and you get 1x=3 or basically x=3.
So the answer would be x=3.
What is 2 1/2+3 1/3 pretty please help I need this answer fast
Answer:
D. 5 5/6
Step-by-step explanation:
2 1/2 + 3 1/3
= [tex]\frac{5}{2}[/tex] + [tex]\frac{10}{3}[/tex]
= [tex]\frac{15 + 20}{6}[/tex]
= [tex]\frac{35}{6}[/tex] = 5 5/6
Answer:
5 1/3
Step-by-step explanation: i am pretty sure
If map=1, Prove that
1+
It man
Itntpt 1tpam
+
Answer:
hi I didn't understand the question
can you please help me to understand.
I will try to give my best
32) If somebody has a monthly income of $2,543, what should their monthly auto expense be?
Answer:
$211.916
Step-by-step explanation:
find the value of x in the triangle shown below 9 and 8 and x
Answer:
x=5.8
Step-by-step explanation:
I kinda guessed on this due to the fact you didn't provide a photo. I used the pythagorean equation to solve this.
Start by identifying you a, b, and c sides.
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
5th grade math. correct answer will be marked brainliest
Answer:
Step-by-step explanation:
The answer is 4/8 or 1/2 pie
Answer:
The answer is 4/8 or 1/2 pie
Have an amazing day :)
Simplify the expression: 15i ⋅ 4i
Answer:
I think the answer is 11i
there is the correct answer.