Answer:
[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (3,5) and (-2,1):
[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]
The equation is now:
[tex]\displaystyle y=\frac{4}{5}x+b[/tex]
To calculate b, we use any of the given points and solve for b. Use (3,5):
[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]
Operate:
[tex]\displaystyle 5=\frac{12}{5}+b[/tex]
Solve:
[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]
The required equation of the line is:
[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]
50/13 as a decimal rounded to the nearest 10th
Answer:
3.8
Step-by-step explanation:
PLZ HELP I WILL GIVE 100 POINTS
Complete the paragraph proof below.
1.
2.
3.
4.
Answer:
1. linear pair
2. Substitution Property of Equality
3. Subtraction Property of Equality
4. <1 ≅ <3
Step-by-step explanation:
1. linear pair
A linear pair is a pair of angles that that are adjacent and add to 180 degrees
linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary.
2. Substitution Property of Equality
<1 + <2 = 180 and <2+ <3 = 180
<1 + <2 = <2 + <3
3. Subtraction Property of Equality
<1 + <2 - <2= <2 - <2+ <3
<1 = <3
4. <1 ≅ <3
Help me pleaseee.....
Answer:
titutex=cos\alp,\alp∈[0:;π]
\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+
1−x
2
∣=
2
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
(2cos
2
\alp−1)
\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N
2
cos(\alp−
4
π
)∣=N
2
cos(2\alp)\Right\alp∈[0;
4
π
]∪[
4
3π
;π]
1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;
4
π
]
\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−
4
π
)=cos(2\alp)…
2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[
4
3π
;π]
\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−
4
π
)=cos(2\alp)…
1
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Display
Geometric Proofs Quick Check
What type of proof uses boxes and arrows? (1 point)
O an indirect proof
O a paragraph proof
O a two-column proof
a flowchart proof
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
A• 1:8
B• 8:1
C• 1:9
D• 9:1
(Worth 30+ Points)
Answer:
c
Step-by-step explanation:
If two number cubes are rolled, the odds in favor of getting two numbers less than 3 is 1 : 9.
What is the probability?Probability determines the odd that an event would happen. The odd the event occurs is 1 and the odd that the event does not occur is 0.
Odds in favor of getting two numbers less than 3 = (numbers less than 3 / total numbers) x (numbers less than 3 / total numbers)
2/6 x 2/6 = 1/9
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A triangle has sides measuring 8 inches, 5 inches and 4 inches. How would you classify it?
Answer:
Acute triangle because the angles are smaller than a right triangle
Step-by-step explanation:
As 5² + 4² < 8² it falls into the category of a² + b² < c², therefore it is an acute angle triangle.
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, A triangle has sides measuring 8 inches, 5 inches and 4 inches.
So, 5² + 4² ? 8².
25 + 16 ? 64.
41 ? 64.
So, 41 < 64 therefore it is a² + b² < c² then it is an acute angle triangle.
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The measure of an angle is 63°. What is the measure of its supplementary angle?
Step-by-step explanation:
[tex]63 + x = 180 \\ x = 180 - 63 \\ x = 117 \\ so \: the \: supplemetary \: angle \: of \: 63 \: deg \: is \: 117 \: deg.[/tex]
i hope i have been useful buddy.
good luck ♥️♥️♥️♥️♥️
What is the image point of (5,0) after a translation right 5 units and down 3 units?
Answer:
(10, -3)
Step-by-step explanation:
When translating left or right, the x intercept will be altered. When translating up or down, the y intercept will be altered.
-4x+1/3+2-x/5=
the dashes are fraction things the 3 and the 5 are denominators I have the answere I just wanna check.
Answer:
-21x/5 + 7/3
Step-by-step explanation:
-4x + 1/3 + 2 - x/5
= -4x - x/5 + 1/3 + 2
= -(20x+x)/5 + (1+6)/3
= -21x/5 + 7/3
What is the greatest number that will divide 307 and 330 having the reminder 3 qnd 7
Answer:
19.
Step-by-step explanation:
Answer:
The required number = 19
Step-by-step explanation:
307 - 3 = 304
330 - 7 = 323
Find GCF of 304 & 323
304 = 2* 2 *2 * 2 * 19
323 = 17 *19
HCF = 19
The required number = 19
When you divide 307 by 19, you will get an remainder 3
When you divide 330 by 19, you will get an remainder 7
PLEASE HELP WILL GIVE BRANI FOR ANY RIGHT ANSWER
Answer:
the bottom left one error is on step 3
Step-by-step explanation:
Answer:
poines
Step-by-step explanation:
True or false? The graph represents a function.
True, if you use the vertical line test there is never two points on the same vertical line.
PLEASE HELP TRAMSERRAN you dont have to show work!
Answer:
1. Slope: -0.75x or -3/4x
Y-intercept: 7
Equation: -0.75x+7 or -3/4x-7
Remember -0.75 and -3/4 are the same!
2. Equation: 0.5x-3 or 1/2x-3
I used slope intercept form to solve. (y2-y1 over x2-x1) If you need more help comment below or send me a link!
Answer: (1) -3/4 (2) 7 (3) y = (-3/4)x + 7 (4) 1/2
Step-by-step explanation:
1) COUNT the number of spaces from one point to the other point.
from (0, 7) to (4, 4) is: down 3 and right 4 → m = -3/4
2) the y-intercept is where the line crosses the y-axis (when x = 0).
The line crosses the y-axis at (0, 7) → b = 7
3) Slope-Intercept form is y = mx + b
m = -3/4 and b = 7 → y = (-3/4)x + 7
4) COUNT the number of spaces from one point to the other point.
from (-2, -4) to (2, -2) is: up 2 and right 4 → m = 2/4 = 1/2 when simplified
1.45 rounded to the nearest hundredth
Answer:
1.45
Step-by-step explanation:
1.45 is already rounded to the nearest hundredth..
Answer:
1.45 (no need to round)
Step-by-step explanation:
When looking at this question we can clearly see that there are only 2 numbers behind the decimal.
We know that the number closet to the decimal is the tenths place.
And that the number second closet to the decimal is the hundredths place.
And that the number third closet to the decimal is the thousandths place.
Since there is no thousandths place we can't round the 5 up.
Which is why your answer is 1.45
Elijah opens a savings account with $60. Each week after, he deposits $25. In how many weeks will he have saved $600?
Answer:
25w + 60= 600
25w= 540
w=21.6
Step-by-step explanation:
First make the equation
1. Subrtract 60 from each side
2. Now divide 25 on both sides
3. now you have the answer
I GOT A DECIMAL SO MAYBE ROUND OR PUT THAT EXACT ANSWER.
Answer:
24
Step-by-step explanation:
What I did was divide 600 by 25 and got 24.So, Elijah has $600 after 24 weeks
A ticket to see your favorite baseball team costs $45.65. That price decreases by $0.25 for every game lost during the regular season. What equation could you use to find the cost of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 42 games. What is the price of a ticket after the team loses 42 games?
Answer:
Cost = $45.65 - $0.25L
after 42 losses:
45.65 - 0.25(42) = $35.15
−5(−8x − 8) − 4 = 5(5 + 8x) + 11 please show work
Answer:
all values of x makes the equation true
Step-by-step explanation:
-5(-8x-8)-4 = 5(5+8x)+11
40x + 40 - 4 = 25 + 40x + 11
40x + 36 = 40x + 36
all values of x makes the equation true
i need math help please
Answer:
n+11=15
-11 -11
n=4
Step-by-step explanation:
subtract 11 from both sides
Answer:
-11 -11
n=4
Step-by-step explanation:
subtract on both sides
-11
you get left with n=4
An airplane is flying at an altitude of 3,000 ft. The pilot dives 988 feet and then rapidly climbs 748 feet. The pilot then dives again 885 feet before making another climb of 1,099 feet. How far above or below an altitude of 3,000 feet is the airplane? A. 26 feet below B. 26 feet above C. 248 feet below D. 248 feet above
Answer:
A 26 feet below
Step-by-step explanation:
3,000 - 988 + 748 - 885 + 1,099 = 2,974
Jenny is organising a barbecue. There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the same number of bread rolls as sausages. What is the smallest number of each pack she must buy?
2. Tom, Sam and Matt are doing a show by counting drum beats .They decided to donate the collecting money for the poor children for their studies. Tom hits a snare drum every 2 beats. Sam hits a kettle drum every 5 beats. Matt hits a bass drum every 8 beats. Tom, Sam and Matt start by hitting their drums at the same time. How many beats is it before Tom, Sam and Matt next hit their drums at the same time? What value you can see in their act
Answer:
She need to buy 8 packs of rolls and 15 packs of sausages! The LCM is 240 so you would need to find out how many packs or rolls and how many packs of sausages equal 240!
Step-by-step explanation:
Find the distance between (3,4) and (4,-6).
Answer:
The answer is
[tex] \sqrt{101} [/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,4) and (4,-6)
The distance between them is
[tex]d = \sqrt{ ({3 - 4})^{2} + ({4 + 6})^{2} } \\ = \sqrt{ ({ - 1})^{2} + {10}^{2} } \\ = \sqrt{1 + 100 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex] \sqrt{101} [/tex]
Hope this helps you
help please (: this has something to do with geometry!!
Answer: x=64°
Step-by-step explanation:
According to the diagram, the two intersecting lines are perpendicular. That means each part is 90°. Since the left side is labelled to be 180°, we know that the sum of the right side is also 180°.
26+x+90=180 [combine like terms]
116+x=180 [subtract both sides by 116]
x=64°
Now, we know that x=64°.
On the other hand, we can see that 26+x=90. We can also use that to solve for x.
26+x=90 [subtract both sides by 26]
x=64°
Find the value of g (-2) if g(x) = x3 - x
Answer: -6
Step-by-step explanation:
See attached picture
Solve the formula for the area of a parallelogram the height,
h.
A = bxh
h= _(use the / symbol to show division)
Answer:
h=A/b
Step-by-step explanation:
Think of putting number in the place of the letter, for example
A is 4
b is 2
h is 2
4=2 x 2 then plug the numbers in the right spot
2=4/2 then see what can be rearranged or what is left to make the
equation true
Please please help asap!!!! Solve for the indicated variable. 3a + 6b = 4 for b
Answer:
b = (4/6) - a/2
Step-by-step explanation:
6b + 3a = 4
6b = 4 - 3a
b. = (4 - 3a)/6
b. = (4/6) - a/2
The value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
In the provided expression, variable and constant are there
It is given that:
The equation in a and b, where a and b are the variables:
3a + 6b = 4
Here the indicated variable is b.
To find the value of b in terms of a make the subject as b:
Subtract 3a on both the sides in the equation 3a + 6b = 4:
The equation becomes:
3a + 6b -3a = 4 - 3a
6b = 4 - 3a
Divide by 6 on both sides:
The equation becomes:
6b/6 = (4 - 3a)/6
b = (4 - 3a)/6
Thus, the value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.
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When two parenthesizes are near each other what does that mean
Answer:
I think it is Brackets
Step-by-step explanation:
Good luck
An irrational number between 2 and 2.5
Answer:
Irrational number between 2 and 2.5 = √2*2.5 = √5
Step-by-step explanation:
2 < √5 < 2.5
We know that √5 is an irrational number.
So, √5 is the required irrational number between 2 and 2.5.
5(-7)-2(-7+3)^2 I know the answer but I need the steps!!!!!!!!!!!!!!
Step-by-step explanation:
5(-7)-2(-7+3)^2
=-35 - 2(-4)^2
=-35 - 2x16
=-35 - 32
=-67
Am i right? :o
i just need a little help
Answer:
your answer should be 2 and 1/4ths
Step-by-step explanation
2 and 1/4ths bc 5 is more than 4 and there is already a whole so there for there are going to be 2 wholes then there are still parts left over and its out of 4 and there is only one left over so there for it would be 1/4ths.
2cy + 8m = 2f solve for c
Answer:
c=(f-4m)/2y
Step-by-step explanation:
2cy = 2f -8m
divde both sides by 26
c=(2f-8m)/2y
simplify
c=(f-4m)/y