Answer:
[tex]y=x+9[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
[tex]y=-x+1[/tex]
This equation can be written as [tex]y=-1x+1[/tex]. Now, we can identify clearly that -1 is the slope of this line. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're calculating for is [tex]-(\frac{1}{-1} )[/tex], or just 1.
Plug 1 into [tex]y=mx+b[/tex] as the slope:
[tex]y=1x+b[/tex]
[tex]y=x+b[/tex]
2) Determine the y-intercept (b)
Recall that the y-intercept is the value of y when the line crosses the y-axis. It occurs when x is equal to zero.
The given point is (0,9), meaning that y is 9 when x is 0. Therefore, the y-intercept is 9. Plug this into [tex]y=x+b[/tex]:
[tex]y=x+9[/tex]
I hope this helps!
Which quadratic function is represented by the graph? 3 O y = 0.5(x + 2)2 + 4 O y = 0.5(x + 3)2 -0.5 O y = 0.5(x - 3)2 -0.5 O y = 0.5(x - 2)2 + 4 2 (20) 1(4.0) 2 6 (3,-0.5) 2 X
Answer:
No solution is possible from the given information.
Step-by-step explanation:
This isn't Hogwarts.
If you don't include the graph we can't magically see it.
Peter wallpapered a wall that was 9 feet wide and 8 feet high. He had 27 square feet of wallpaper left over. How many square feet of wallpaper did he start with?
Answer:
99 square feet
Step-by-step explanation:
Because 8 times 9=72+27=99
please help!!!
what is the following sum?
Answer:
I think the answer is A
8x³y⁴ ³squareroot xy
Step-by-step explanation:
Mark as brainllest if it helps!!!
100 POINTS HELP! THIS IS A PROJECT. NOT IN A RUSH.
Describe how to find the terms mean, median, mode, and range of a group of numbers.
Pretend you are a teacher trying to describe these terms to a student. Make sure you write as if you are the teacher and explain each term as if the student is learning this for the first time. Be descriptive and give examples. Make sure you include the data set (the group of numbers) you will be working with. Be sure to use complete sentences. Be creative!
Answer
Hello class!
Step-by-step explanation:
1. The mean is the average of a data set.
2. The mode is the most common number in a data set.
3. The median is the middle of the set of numbers.
Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.
Thank you to the person that is helping me. I don’t understand this one at all..
Rujuan
If angle X and Y are complementary angles, which of the following must be true?
O sinX = siny
O cosx = cosY
O tanX = tany
O sinX = COSY
Answer:
Sin X=Cos Y
Step-by-step explanation:
Objective: Understand trigonometric relations such that
Cosine and Sine are similar to complementary angles that if X+Y are complementary angles,
Cos X= Sin Y and Cos Y= Sin X
how do you do this?
Answer:
by increasing the size ez
What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of 22.4 centimeters. The height of the prism is 18.1 centimeters. 313.6 506.8 5,676.16 11,352.32
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
5676.16 cm³
Step-by-step explanation:
Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3
Answer:
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
Step-by-step explanation:
[tex]f(x)=x^5-3x^3[/tex]
[tex]0=x^5-3x^3[/tex]
[tex]x^5-3x^3=0[/tex]
[tex]x^3(x^2-3)=0[/tex]
[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
See the graph for a visual of the x-intercepts.
What is the perimeter of a trapezoid?Units
Solve 16x + 8 ≥ 12x + 20
Answer:
x ≥ 4
Step-by-step explanation:
16x + 8 ≥ 12x + 20
Subtract 12 from both sides
4x + 8 ≥ 20
Subtract 8 from both sides
4x ≥ 16
Divide both sides by 4
x ≥ 4
Please help me with this
Answer: [tex]a_{n}=4n+-3[/tex]
Step-by-step explanation:
The way arithmetic sequences are usually written is:
[tex]a_{n} =a_{1} +(n-1)d[/tex]
[tex]a_{n}[/tex] is the the term you are looking for. It has an n because we aren't looking for a specific one.
[tex]a_{1}[/tex] is the first term of the sequence. In this case that is 1.
n is the term position. Meaning if you wanted to find the fifth term you'd sub 5 in for n.
d is the common difference. In this case it is 4.
Now we can sub these values in.
[tex]a_{n} =1 +(n-1)4[/tex]
We can simplify the right part of the equation.
[tex]a_{n} =1 +(n-1)4\\a_{n} =1 +(4)(n)-(4)(1)\\a_{n}=1+4n-4\\a_{n}=4n+1-4\\a_{n}=4n+-3[/tex]
Is the product of -2x^3 + x - 5 and x^3 - 3x 4 equal to the product of x^3 - 3x - 4 and -2x^3 + x - 5? Explain your answer.
Step-by-step explanation:
hear is your answer in attachment
What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 5?
Answer:
The slope is 4 and the y intercept is -5/2
Step-by-step explanation:
8x-2y = 5
Solve for y to get the equation in slope intercept form
Subtract 8x from each side
8x-8x-2y =-8x+ 5
-2y = -8x+5
Divide by -2
-2y/-2 = -8x/-2 + 5/-2
y = 4x -5/2
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept
The slope is 4 and the y intercept is -5/2
9. A parallelogram is formed by the supports
that attach a basketball backboard and rim to
the wall. The angles change as the basketball
apparatus is taken out and put away. If
ZDAB = 28º and ZADC = 7x + 26, solve for
X.
Answer:
X=18
Step-by-step explanation:
I got x=18 I don't have the work but I know it is right I have the key to a final review with that problem on it!
pleaseee help me with this questionnn
Answer:
itss8tsz85sz85s,85s,8td,8td,85dz85dzd85e,7554334567
Step-by-step explanation:
otdxd8td 8td 85sx8ts,ts8,8ts,8td,88ts8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,,8ts8ts,8t,s8ts,8tz8txdxtitixtxtidittdxdctiti dttxdididez6z84gfiwz84wz85wzy0dcydcydc6dctr456887654
Please help me ASAP tysm
Answer:
?
Step-by-step explanation:
The value of a piece of property is growing at a rate of 3.5% annually if the property was worth $77,000 when it was purchased, which equation could be used to determine the value of the property, y, x years after it was purchased?
A. y=77,000+3.5x
B. y=77,000(3.5)x
C. y=77,000(1.035)x
D. y=77,000(0.035)x
ANSWE PLEASEEEEEEEEEEEEEEE
Answer:
your answer is gonna be A!! <3
Step-by-step explanation:
1 Subtract 33 from both sides.
y-3=-2x
y−3=−2x
2 Divide both sides by -2−2.
-\frac{y-3}{2}=x
−
2
y−3
=x
3 Switch sides.
x=-\frac{y-3}{2}
x=−
2
y−3
Answer:
A
Step-by-step explanation:
CE and FI are parallel. Giving reasons prove that DGH is isosceles
9514 1404 393
Answer:
∠GDH = ∠GHD = 50°
Step-by-step explanation:
Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...
∠EDG = ∠EDH +∠HDG
100° = 50° +∠HDG
50° = ∠HDG
You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have a sum equal to the exterior angle FGD, so is ...
∠DHG = ∠FGD -∠HDG = 100° -50° = 50°
So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.
altogether i have 10 bags of sweets. the mean number of sweets in the bag is 40
Answer the question : I don't get what the question is suppose to be
Step-by-step explanation:
Help I have to submit it
A bag contains 8 red balls and 6 blue
balls.
Radhika takes three balls at random
from the bag, without replacement.
Calculate the probability that the three
balls are the same colour. *
Answer:
The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Step-by-step explanation:
Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:
8 + 6 = 14
14 = 100
8 = X
8 x 100/14 = X
800/14 = X
57.14 = X
100 - 57.14 = 42.86
0.5714 ^ 3 = X
0.1865 = X
0.4286 ^ 3 = X
0.0787 = X
Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Math Problem Solving
statistics and probability
Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
Mean Formula
[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]
[tex]\mu_x^2 = 163.84[/tex]
Variance Formula
[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]
[tex]= 174.2- 163.84\\\\=10.36[/tex]
Standard Deviation Formula
[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]
[tex]=\sqrt{10.36}\\\\=3.218[/tex]
How many quarters does Annie have
A.35
B.49
C.3
D.7
Answer:
n = 7
Step-by-step explanation:
sarah = m
annie = n
sarah has 21 more than annie
m = 21+n
given sarah has 28 quareters
m = 21 + n
28 = 21 + n
28 - 21 = n
7 = n
annie has 7 quarters.
AIR TRAVEL - an airplane traveling at an altitude of 5,900m changes its altitude by - 2,900m. What does this change in altitude mean ?
Answer:
Step-by-step explanation:
altitude -2900 m means its height decreases by 2900 m or it comes down by 2900 m
Mikey Johnson shipped out 41 1/4 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 3/4 pounds each . How many packets did he ship out?
Answer:
15
Step-by-step explanation:
Number of packets shipped out = total weight of electrical supplies / weight of individual packets
[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]
to solve convert the mixed fractions to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15
Work out
m
and
c
for the line:
y
=
3
x
+
1
Answer: m=3
Step-by-step explanation:
A recipe for a smoothie for 0.75 pound of strawberries. If Kerry has 3.15 pounds of strawberries, how many batches of the recipe can She make
Answer:
4 batches
Step-by-step explanation:
To obtain the number of batches of the recipe that can be made ;
We take the divison of the total amount of strawberry by the amount of strawberry required per batch :
Pounds of strawberry per recipe = 0.75 pound
Total pounds of strawberry = 3.15 pound
= 3.15 / 0.75
= 4.2
We round down :
4.2 batches = 4 batches of the recipe can be made
In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the beginning of stage 2 was 5,000 kilometers per hour. Its speed at the end of Stage 2 will be 25,000 kilometers per hour.
If t is the time, in minutes, from the beginning of stage 2, which equation could be used to determine how long it will take for the speed of the rocket to reach 25,000 kilometers per hour, assuming it increases at the same rate for all of stage 2?
A.
5,000 = 25,000(0.043)t
B.
5,000 = 25,000(0.957)t
C.
25,000 = 5,000(1.043)t
D.
25,000 = 5,000(1.43)t
