Answer:
[tex]y=-x-2[/tex]
Step-by-step explanation:
1) First, find the slope between these 2 points.
(1, -3)
(-3, 1)
The change between the y-values is 4.
[tex]1--3=1+3=4[/tex]
The change between the x-values is -4.
[tex]-3-1=-4[/tex]
Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.
[tex]\frac{4}{-4}=1[/tex]
If you just wanted to use the slope formula, you could do that too:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]
2) Second, now you can use the slope to calculate the y-intercept.
Pick whichever point you want, and plug it into the equation along with the slope and solve for b.
(1, -3) = (x, y)
[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]
The y-intercept is -2.
3) Finally, you can wire the equation in slope-intercept form.
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the values we found and you're done:
[tex]y=-x-2[/tex]
A flying disc has a 7 3/4 inch radius. What is its approximate circumference,
rounded to the nearest inch?
Answer:
49 in
Step-by-step explanation:
The circumference of a circle with radius r is ...
C = 2πr
The disc with the given radius has a circumference of ...
C = 2π(7.75 in) ≈ 49 in
mile is going to give buddys dads company 5 hour and not a minute more. what part of the day is he giving them written as a fraction and a percent
The fraction of the time given in a day is 1/288
Given the following parameters
The minute that mile gave his buddy = 5minutsWe are to get the fraction of this time in a day.
Convert 1 day to minute
1 day = 24 hrs * 60 mins 1 day = 1440 minutsFraction = 5/1440
Fraction = 1/288
Hence the fraction of the time given in a day is 1/288
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A rectangular garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangular garden has a length of 20.5 feet and a width of 12.4 feet. How many times greater is the area of the larger garden than the area of the smaller garden?
Answer:
3
Step-by-step explanation
Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?
Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.
His sales tax will be $2.75.
Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)
Answer:
B. y = 1/3x + 3
Step-by-step explanation:
Answer: I think the answer is B
ABCD is a parallelogram. What is the measure of ∠ACD?
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
Help me please on question one and two
Answer:
can you show me a better picture your problems are cut off
Step-by-step explanation:
5 3/5 divide by 2 2/3
Answer 2 1/10
work is shown in the picture above. I hope this helps.
the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?
Step-by-step explanation:
if I understand correctly, then the function is
t(x) = 8x
now we know, that for a specific n
t(n) = 200
that means
200 = 8n
n = 200/8 = 25
the function tells us, that for 25 trucks we need 200 tires.
Please help? Im stuck.
Answer:
which solution are you looking for?
Step-by-step explanation:
Solving for X would be: x<0
Graph inequality would be the left side shaded i think
David has $90 to spend on sneakers. The sales tax in his state is 6%.
Vincent has $95 to spend on sneakers. The sales tax in his state is 9%.
Both boys are interested in a pair of sneakers that costs $86. Who will be able to buy the sneakers?
Answer:
Vincent will be able to buy the sneakers, while David will not be able too.
Step-by-step explanation:
I believe this is true because for David,
6% of 86$ is 5.16$
so 86 + sales tax (which is 5.16) = 91.16$
David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.
While for Vincent,
9% of 86$ is 7.74$
so 86 + sales tax (which in this case is 7.74) = 93.74
Vincent has 95$ to spend so he can afford the shoes.
I am not exactly sure if all calculations are correct, but I hope this helps! :)
Answer:
Vincent
I took the test on edg
please solve quickly
Step-by-step explanation:
aVolume = length ×width × height
therefore
5cm× 6cm×2cm=volume
60cm³= volume
the volume is 60cm³bVolume = length ×width × height
1200mm³=20mm×10mm×H
1200mm³=200mm²×H
1200mm³/200mm²=200mm²/200mm²×H
6mm= H
the height is 6mm cVolume = length ×width × height
72m³=L×3m ×6m
72m³= L× 18m²
72m³/18m²= L×18m²/18m²
4m =L
the length is 4mdVolume = length ×width × height
256cm³=8cm ×w×8cm
256cm³=64cm²×w
256cm³/64cm²=64cm²/64cm²×w
4cm=w
the width is 4cm eVolume = length ×width × Height
379.6m³=5.2m×7.3m×H
379.6m³=37.96m²×H
379.6m³/37.96m²=37.96m²/37.96×H
10m=H
the height is 10mfVolume = length ×width × Height
288mm³=L×12mm×8mm
288mm³= L×96mm²
288mm³/96mm²= L×96mm²/96mm²
3mm=L
the length is 3mm.Calculate the value of x
Answer:
x=15
Step-by-step explanation:
360-330=30
30/2=15
x=15
hope that helps
please mark as brainliest if correct
thank you
what number is the square root of 13 between
A 2 and 3
B 5 and 6
C 4 and 5
D 3 and 4
Answer:
D
Step-by-step explanation:
3:
12
4:
16
Therefore 13 is in between 12 and 16
Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens
Answer:
P = 3.86n
Step-by-step explanation:
the price will be how many sets you buy multiplied by the price.
A recipe calls for cup
3/4of milk to make 4
cookies. If Sarah wants to
cut the recipe in, 1/2how
much milk would she
need?
3/ 8
of a cup.
Explanation:
You want half of the recipe, so you want half of
3/4
of a cup.
Of means multiplication when it comes to fractions, so multiply
3/4 by 1/2 to get 3/4 ⋅ 1/2 = 3/8
If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?
[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]
Write an equation using point-slope for
(-2, -3), (-1,6)
Step-by-step explanation:
please mark me as brainlest
Maths question algebra
Step-by-step explanation:
=
38.64=9.2h/2
=
38.64=4.6h
=
h = 38.64/4.6
h = 8.4
thats it
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
If you drive 40 miles, how much can you expect to pay?
Step-by-step explanation:
this is a strange rental company charging no daily fees.
but ok.
so, we have a fixed part of the cost : $24
we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.
and then we pay $0.35 for every mile driven.
that makes our function
C(x) = 0.35x + 24
and if we drive 40 miles, that makes x = 40.
C(24) = 0.35×40 + 24 = 14 + 24 = $38
it would cost us $38.
Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15 Multiplication Property of Equality 2x = â’36 Subtraction Property of Equality x = â’18 ? Division Property of Equality Distributive Property Addition Property of Equality Subtraction Property of Equality.
The correct option is B. Distributive property
Given,
[tex]\frac{2}{3} x+7=-5\\[/tex]
On solving the above equation,
multiplying both sides by 3 we, get
[tex]2x+21=-15[/tex]
now subtracting 21 from both the sides,
[tex]2x=-36\\[/tex]
dividing both the sides by 2 we get,
[tex]x=-18[/tex]
Since in the above steps we follow all the giving property except the distributive property.
Hence the correct option is B. Distributive property.
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Calculate the measure of the major arc MPN.
Answer:
310°
Step-by-step explanation:
The sum of arcs around a circle is 360°.
MPN +MN = 360°
MPN = 360° -MN . . . . . . . . subtract MN
MPN = 360° -50° = 310° . . . fill in the given value
The measure of major arc MPN is 310°.
Marking brainliest
What do you thinks this means and why does it matter
Answer:
You didnt put anything for me to see lol
Step-by-step explanation:
Help please.........
Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?
Question 47 of 55
Expression A: 3(x + 1)
Expression B: 3x+3
Which statement does not show that these expressions are equivalent?
A. Both expressions involve addition
B. The expressions name the same number regardless of the value
of x
C. 3(x+ 1) can be rewritten as 3x+ 3 using the distributive property.
D. Substituting any value of x makes the expressions equivalent.
SUBMIT
Answer:
D
Step-by-step explanation:
Substituting any value of x does not make the expressions equivalent. Replacing x for any two different values would equate to different unequal values.
(2/5)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =_____
Please help quick!
Thanks!
Answer:
Step-by-step explanation:
=(2/5)2 ×100÷23+[24÷8]=(2/5)2×100÷23+3=16÷23+3=16/23+3=85/23final result:⇔(2/5)2×100÷23+[24÷(13-5)]=85/23Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, â€"16)? f(x) = â€"(x â€" 2)(x â€" 4) f(x) = â€"(x 2)(x 4) f(x) = â€"2(x â€" 2)(x â€" 4) f(x) = â€"2(x 2)(x 4).
To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
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my Christmas present to you
thank you very much for this! :)
will you please help me with my math thank you
Answer:$44.69
Step-by-step explanation:
Original cost = $45.87
Cost with sales = 45.87 x 0.10 since 10% is 0.10 as a decimal
New cost = (45.87) - (45.87 x 0.10)
=$41.283
Cost with tax = 41.283 x 1.0825 <- 8.25% is 0.0825 as a decimal
= $44.69
Answer:
$44.69
Explanation
10 Percent of $45.87 is 4.587 rounded to the nearest hundredth is $4.59.
$45.87 - $4.59 is $41.28
8.25% of $41.28 is 3.4056 rounded to the nearest hundredth is $3.41.
$41.28 + $3.41 is $44.69