Answer:
y + 1 = (1/2)(x - 3) - point-slope form
OR
y = (1/2)x - 5/2 - slope-intercept form
Step-by-step explanation:
Given a slope and point, use point-slope form to write the equation for the line:
y - y1 = m(x - x1)
(x1, y1) is the point given and m is the slope.
y - (-1) = (1/2)(x - 3)
y + 1 = (1/2)(x - 3)
If you need to rewrite in slope intercept form, you can do so by distributing the 1/2 to the x - 3 and subtracting 1 from both sides:
y + 1 = (1/2)x - 3/2
y = (1/2)x - 5/2
Answer:
[tex]\boxed {\boxed {\sf y= \frac {1}{2}x - \frac {5}{2}}}[/tex]
Step-by-step explanation:
The equation of a line can be found using the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and (x₁, y₁) is the point the line passes through. For this line, the slope is 1/2 and the point is (3, -1). Therefore,
[tex]m= \frac {1}{2} \\x_1= 3 \\y_1= -1[/tex]
Substitute the values into the formula.
[tex]y--1= \frac {1}{2}(x-3)[/tex]
[tex]y+1= \frac {1}{2}(x-3)[/tex]
The equation can be left like this, or put into slope-intercept form (y=mx+b).
First, distribute the 1/2. Multiply each term inside the parentheses by 1/2.
[tex]y+1= \frac {1}{2}x - \frac {3}{2}[/tex]
Next, subtract 1 from both sides of the equation.
[tex]y+1-1= \frac {1}{2}x - \frac {3}{2}-1[/tex]
[tex]y= \frac {1}{2}x - \frac {5}{2}[/tex]
WILL GIVE THE BRAINLIEST PLS HURRY
if 1/8 of the shaded part is striped, how much of the bar is striped?
Answer:
7/8?
Step-by-step explanation:
PLLLLLLLLLLLEEEEEEEEEEEEEEEzzzZZzZzZZZZZzzzzZZZZ HEEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPP ASAP
Answer:
there is no question my man
Answer:
With what?
Step-by-step explanation:
"The sum of 4 and a number, divided by 2 is less than -6."
Answer:
[tex]\frac{4+n}{2} < -6[/tex], n < -16
Step-by-step explanation:
To write this into an inequality you need to recognize keywords. The first keyword is "sum" this means the two numbers must be added; so the first part of the inequality is 4+n. Then, it says the sum is "divided by" 2; this means both numbers must be put over two like [tex]\frac{4+n}{2}[/tex]. Finally, this is "less than" negative. Therefore, this must be an inequality with a sign opening towards -6. So the final answer is [tex]\frac{4+n}{2} < -6[/tex].
To solve the inequality isolate the variable. Multiply both sides by 2, so the new inequality is [tex]4+n<-12[/tex]. Next, subtract 4 from both sides. The answer is n < -16.
PLS HELP TEXT ILL GIVE BRAINLIEST
Answer:
a = -15
Step-by-step explanation:
multiply both sides by 3, then you get a = -15
Answer:
a= -15 for the first one and b= -1 for the 2nd one
Step-by-step explanation:
2
Round 2674 to the nearest hundred
2674 to the nearest hundred would be 2700
Come up with a real-life situation that could
be represented by 10^5
Answer:
on the first day of picking apples Johny was told to pick 10. The day after that he was told to pick 10 times more than he picked yesterday.The day that after he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.
Dividing of Polynomials
1. A film starts at 7.45 pm.
The film lasts 98 minutes.
What time does the film finish?
Answer: The film will finish at 9:23 p.m.
Answer:
9.23pm
Step-by-step explanation:
98 min is 1 hour and 38 min :)
A storage box in the garage is 3 feet tall, 4 feet long and has a volume of 9 cubic feet. How many square feet is the area of the base of the box?
Answer:
3 ft^2
Step-by-step explanation:
first find the width of the storage box using the given volume
V = L * W * H
9 = 4 * W * 3
9 = 12 * W
9/12 = W
W = 3/4 or .75
then with that to find the are of the base multiply the length and the width
a = l * w
a = 4 * 3/4
a = 3
There are 8 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
_______% are apples.
Answer:
80%
Step-by-step explanation:
Because the answer is 80%
Answer:40 percent
Step-by-step explanation:Total number of fruit in a bowl is 15 pieces.
Number of apples are 6 pieces in a bowl.
6/15 times 100 equals 40%
What’s the net?
A-cylinder
B-cone
Answer:
A-Cylinder
Step-by-step explanation:
Because when folded back to its original state the circles at the top and bottom act as bottoms of a Cylinder.
Answer:
cylinder which means it's A
you have 4 ice cubes in your cup of lemonade. each ice cube has a length of 7 3/4 cm, a width of 4 5/8 cm and a height if 2 4/5 cm. what is the total volume of all ice cubes? explain how you used math to come to your decision.
Answer:
how is this Spanish
Step-by-step explanation:
Which is the graph of f(x)= 1 4 (4)^ x ?
Answer:
it is the last graph/D
Step-by-step explanation:
Select the correct answer.
How many degrees define a straight angle?
OA
180°
OB.
120°
OC.
45°
OD.
90°
Answer:
180°
Step-by-step explanation:
A whole circle is 360°, therefor an straight line is half of that, so 360/2=180.
For each ordered pair, determine whether it is a solution to 7x - 4y= -5.
The photo has everything
Find the inverse of the function, f(x)=5(x-4)^3 +6
trade x and y
Answer:
y=[(x-6)/5]^(1/3)+4
Step-by-step explanation:
f(x)=5(x-4)^3 +6
trade x and y
x=5(y-4)^3 +6
x-6=5(y-4)^3
(x-6)/5=(y-4)^3
[(x-6)/5]^(1/3)=y-4
y=[(x-6)/5]^(1/3)+4
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours
Answer:
28
Step-by-step explanation:
Cuz there are twice as many workers so it will take twice as less time
how many solutions does this problem have 2x – 4 = 2(x – 2)
Answer:
= 0
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−4=2(x−2)
Step 1: Simplify both sides of the equation.
2x−4=2(x−2)
2x+−4=(2)(x)+(2)(−2)(Distribute)
2x+−4=2x+−4
2x−4=2x−4
Step 2: Subtract 2x from both sides.
2x−4−2x=2x−4−2x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.
What is the perimeter and area?
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
In a bowl of fruit, there are green grapes and black grapes in the ratio 3: 4
If there are 24 green grapes, how many black grapes are there?
Please help me I will choose the Brainliest if it's correct tenkchuu
A ladder is standing on horizontal ground and rests against a vertical
wall. The ladder is 4.5 m long and its foot is 1.6 m from the wall.
Calculate how far up the wall the ladder will reach. Round your
answer to three decimal places. (Show your working)
Answer:
I don't know how to tell you the answer on this one because you need to know how tall the wall is for this one
Step-by-step explanation:
. Find the mzu.
R
S
7x + 22
A. 31°
B. 12°
C. 74°
D. 106°
4x-5
31
U
T
Answer:
a
Step-by-step explanation:
jab tak ki saja sunai gai hai kar lo aur fir
simplifying y+1/y²-1
Answer:
1
--------------
y-1
with the restriction y cannot equal -1
Step-by-step explanation:
y+1
--------------
y^1 -1
Noticing that the denominator is the difference of squares and factoring
y+1
--------------
(y+1)(y-1)
Canceling like terms
1
--------------
y-1
with the restriction y cannot equal -1
A bread recipe calls for 1/3 cup of white flour and 5 1/3 cups of whole wheat flour. How much flour do I need in total of my recipe?
Answer:
5 2/3
Step-by-step explanation:
Two cities on a map are 3 3/4 inches apart. Using the scale 1 inch = 12 miles, what is the distance between the cities?
Answer:
45 miles. 3*12 +3/4 *12 =x=>36+9=x=>x= 45.
4. Mrs. Hodges made 144 muffins for a bake sale. She puts them into tins of 5 muffins each. How many tins of muffins can she make?
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1110 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 170 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1172.61 milligrams of sodium per package with a sample standard deviation of 241.88 milligrams. Step 2 of 2 : Using the confidence interval approach, is there evidence that the sodium content is different from what the nutrition label states
Answer:
[tex]1124.28 \text { to } 1220.94[/tex]
Step-by-step explanation:
A 99% confidence interval for the mean sodium content in Oriental Spice Sauce is,
First, compute t -critical value then find confidence interval.
The t critical value is,
The sample size is small and two-tailed test. Look in the column headed [tex]\alpha=0.01[/tex] and the row headed in the t distribution table by using degree of freedom is,
d . f . =n-1
=170-1
=169
The t critical value is 2.605 .
[tex]99 \% \text { C.I. } &=\bar{x} \pm t_{c} \times s / \sqrt{n}[/tex]
[tex]=1172.61 \pm 2.605 \times 241.88 / \sqrt{170}[/tex]
[tex]=1172.61 \pm 48.33[/tex]
[tex]=1124.28 \text { to } 1220.94[/tex]
A [tex]99%[/tex]confidence interval for the mean sodium content in Oriental Spice Sauce is
[tex]1124.28 \text { to } 1220.94[/tex]
i’m stuck on this question
Answer: I have a feeling the answer is “slope=5/8”
I think this is the answer because the rise is 5 and the run is 8. Let’s hope this is the answer!