Answer:
y = - 3x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, - 5) into the partial equation
- 5 = 3 + c ⇒ c = - 5 - 3 = - 8
y = - 3x - 8 ← equation of line
Answer:
y = -3x + -4
Step-by-step explanation:
y = mx + b
to find the y-intercept we need to add or subtract (in this case it's add) a number to x to get to 0.
x = -1.
to get to 0, you need to add one
do that same thing to y
[tex](-1, -5) + (1, 1) = (0, -4)[/tex] therefore the y-intercept (or b) is negative 4.
Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
v ≈ 34.95ft^3
Step-by-step explanation:
h = 9.8ft
A^B = 10.7ft
V=A^B
h/3 = 10.7 • 9.8/3
≈34.95333ft^3
≈34.95ft^3
α
34°
Help me ASAP Thxx
Answer:
a=146°
Step-by-step explanation:
a+34 =180 degree (being linear pair
a=180-34
a=146 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
HELP PLEASE THIS IS DUE IN 15 MIN
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
B
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 equations.
As can be seen from the graph there is only 1 point of intersection, thus only one solution,
GameStop was selling Ps5’s. They sold 100. They sold each ps5 for 500. But they got ps5’s on discount $30 off from each GameStop. So they bought the Ps5s for $470 but they sold them to the customers for more. How much did they collect/make? How much were their expenses? How much was their profit?
The dimensions of Mr. Tai’s living room are 10 feet by 18 feet by 8 feet and the dimensions of his family room are 14 feet x by 20 feet by 8 feet. What is the total volume, in cubic feet, of the two rooms?
Answer:
3,680 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is:
length x width x height
Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.
The volume of Mr. Tai’s living room is:
10 x 18 x 8 = 1,440 cubic feet
The volume of his family room is:
14 x 20 x 8 = 2,240 cubic feet
Add the volumes of both figures:
1,440 + 2,240 = 3,680
Hope this helps!
28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..
Answer:
HCF×LCM=a×b
6×60=a×b
a×b=360
So the numbers are whose product is 360 and LCM is 60
These two numbers can be 6,60 or 12,30
5 2/3 divided by 3 1/9?
Answer:
1.82142857143 or 1 23/28
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
51/28 or 1 23/28
Step-by-step explanation:
The LCD here is 9. Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.
Then divide 51/9 by 28/9: Equivalently, invert the divisor (28/9) and multiply:
(51/9)(9/28) = 51/28 or 1 23/28
5 2/3 divided by 3 1/9 is 1 23/28.
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6% compounded annually. They were hoping that the money would double twice by the time she was 18 years old. Using the rule of 72, t = StartFraction 72 Over r EndFraction will their hopes come true?
Answer:
their hopes will come true
Step-by-step explanation:
Using the formula for calculating amount expressed as;
A = P(1+r)^t
Given
P = $15000
r = 9.6% = 0.096
t = 15years (18-3)
Substitute;
A = 15,000(1+0.096)^15
A = 15,000(1.096)^15
A = 15000(3.9551)
A = 59,326.6
As we can see, the money is even more than twice the original amount, this shows that their hopes will come true
Answer:
a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.
What is the length of side YZ?
Answer:
8
Step-by-step explanation:
The bottom angles are equal, so the sides are equal
2x = 5x-12
Subtract 5x from each side
2x-5x= 5x-12-5x
-3x = -12
Divide by -3
x = 4
YZ = 5x-12 = 5(4) -12 = 20-12 =8
is this a reasonable estimate? Why?
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
One of the heaviest rainfalls ever recorded occurred in Holt, Missouri, when 12 inches of rain fell in 40 minutes. At this rate, how much rain would fall in an hour?
In which choice do all three points lie on the same straight line?
A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)
Answer:
D
Step-by-step explanation:
we'll use the complex number system to solve this exercice
the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then
[tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]
for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number
[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]
so the points are aligned
Answer:
D (1, 2), (2, 4), (4, 8)
Step-by-step explanation:
Hope this helps
Given f(x) = log x and g(x) = -x + 1,
which is the graph of (fºg)(x)?
Answer:
(f • g)(x) = log (-x + 1)
Step-by-step explanation:
Here is a composite function
What we simply have to do here is to make a substitution
the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)
This simply mean that we replace every x we find in f(x) with the entire equation of g(x)
we have this as;
f(g(x)) = log (-x + 1)
Which is the standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2?
o (x+3)² = 24(y+4)
o (y+3)^2= 24(x-4)
o (y+3)^2 =-24(x+4)
o (x+3)^2 =-24(y+4)
Answer:
C.
Step-by-step explanation:
i took the test
The standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2 is (x+3)² = -24(y+4), the correct option is D.
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
We are given that;
The vertex of parabola=(-4,-3)
Directrix of x is 2
Now,
The distance from a point (x,y) to the directrix x = 2 is the horizontal distance between the point and the line, which is |x - 2|. The distance from a point (x,y) to the focus (-4,f) is the distance between the point and the vertex plus the distance between the vertex and the focus, which is |y - (-3)| + |-4 - 2| = |y + 3| + 6.
|y + 3| + 6 = |x - 2|
To eliminate the absolute value, we can square both sides of the equation:
(y + 3)² + 12(y + 3) + 36 = (x - 2)²
(x - 2)² = (y + 3)² + 12(y + 3) + 36
x² - 4x + 4 = y² + 6y + 9 + 12y + 36
x² - 4x = y² + 18y + 45
x² - 4x + 4 = y² + 18y + 49
(x - 2)² = (y + 9)²
This is the standard form of the equation of the parabola, which has a vertex of (-4,-3) and a directrix of x = 2. Comparing this equation with the standard form of the equation of a parabola, we can see that the parabola opens horizontally to the left, and its focus is the point (-6,-3).
(x-2)² = -24(y+9)
Therefore, the equation will be (x+3)² = -24(y+4).
Learn more about vertex form of a quadratic equation here:
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7th grade math help me pleaseeee
Answer:
0.325
Step-by-step explanation:
13 ÷ 40 = 0.325
Yo, why is your school still going on? :))))
Answer:
0.325
Step-by-step explanation:
13 out of 40 days.
13/40= 0.325
Line u has a slope of
-2/5 is parallel to line u. What is the slope of line v?
Answer:
-2/5
Step-by-step explanation:
The slope will be same , that is -2/5 .
8 × 4 ÷ 3 + 5 2 - 8 Can Someone Answer This Algebra Question
Answer:
164/3
Step-by-step explanation:
in the diagram BC = 9. find AB and AC.
Answer:
where's the diagram can you tell
The sales tax in a city in Chicago was 5.5%. Ms.M spent $60 on presents for
family members. What was Ms.M's total including sales tax?
Answer:
$63.30
Step-by-step explanation:
Assuming the $60 is excluding taxes:
60 * 1.055 = $63.30
Please helpppp HURYYYYYYY
Answer:
C
Step-by-step explanation:
HELP What answer?
A: it shows a positive correlation
B:it show a negative correlation
C: it shows no correlation
D: As speed increases, cost decrease.
Answer:
I think the answer should be A
Answer:
So your answer would be A
Step-by-step explanation:
It is not B since a negative correlation, the only time it will be a negative correlation is if its going the other way or down
It is also not C since there is a correlation, (positive correlation) there would be no dots.
I dont think its D since the speed is increasing but the cost is not decreasing, this would represent a negative correlation.
So your answer would be A since the line is linear, it is mild (the points are not to close but not to far) and its positive since it is going right and up.
Hope this helped :D
The estimated total,costs,y, of a child's toy is practally based on the number of batteries used x.The cost of one battery is 0.75. The toy itself cost 12$.Which equation represents the situation
Answer:
y = 0.75x + 12
Step-by-step explanation:
The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x − (775
y = 0.75x − 12
y = total cost of a child's toy
Cost of each battery = $0.75
Number of batteries = x
Cost of the toy = $12
Therefore,
total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries
y = 12 + 0.75 * x
y = 12 + 0.75x
y = 0.75x + 12
Solve for X
PLEASEEEEE HELPPPP
Answer:
ok from this we know the angle of this triange are
90+47+x=180
x=43
with these if we use the proper formula we know that the two other sides are
about 21 and 23
since the top side is longer we know that X=23
The measures of two exterior angles of a decagon are 97° and 89°. What is the sum of the remaining exterior angles?
Answer:
the sum of the remaining exterior angles is 174⁰
Step-by-step explanation:
Given;
the measure of two exterior angles of a decagon = 97° and 89°
The total sum of exterior angles of a polygon is 360⁰
let the sum of the remaining exterior angles = x
sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰
x + 186⁰ = 360⁰
x = 360⁰ - 186⁰
x = 174⁰
Therefore, the sum of the remaining exterior angles is 174⁰
Let p: x < -3 let q: x > 3 What is represented by p v q
SheeeeeeeshI MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RI MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE RAGE⁉️I MISS THE R
Answer:
miss rages is the best way of doing that and it will take a few months for a kid
Answer:
the answer is 20
32/8=h/5
cross multiply and boom!
I hope this help sry if it doesnt!
Step-by-step explanation:
The manufacturer price was $50. The customer purchased the item for $200. What percent of the original price did the customer pay?
Answer:
400%
Step-by-step explanation:
the question is asking what percent of 50 is 200
we can set up this proportion to find 'x' (the original price)
200/50 = x/100
cross-multiply to get:
50x = 20,000
x = 400%
help mmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
What help you need from us?????
Answer:
I think the answer is 6
Step-by-step explanation:
but it could also be 5 since its the lowest number. But if its goin based of the amount of data it should be 6
Simplify 10( to the power of 9) divided by 10( to the power of 7)
The simplified form of 10⁹/10⁷ is 100.
The given expression is,
10⁹/10⁷
Since we know that,
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Since we also know that,
When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,
Therefore,
we can write the given expression
10⁹/10⁷ = [tex]10^{(9-7)}[/tex]
= 10²
= 10 x 10
= 100
Hence,
10⁹/10⁷ = 100
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