Answer:
k = 4
Step-by-step explanation:
A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement.
So WX = XY or WX = 1/2 WY
using WX = 7k + 5 and WY = 66
7k + 5 = 66/2
7k = 33 - 5
7k = 28
k = 4
What is y = − 3/10 x − 8 written in standard form?
Answer:
3x + 10 y = -80
Step-by-step explanation:
We are given the equation y = −3/10x − 8 and we want to write it in standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.
The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.
So, to start, we can add 3/10x to both sides.
y = -3/10x - 8
+3/10x +3/10x
_______________
3/10x + y = - 8
Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).
So, we need to clear the fraction.
Multiply both sides by 10.
10(3/10x + y) = 10(-8)
3x + 10y = -80
. Alex received a statement from his bank that listed his checking account total balance as -$42.50. What does this number mean?
The bank owes Alex $42.50.
O Alex wrote checks for $42.50 more than the amount he had in his checking account.
O Alex is still able to write checks up to a total of $42.50.
O The bank deleted $42.50 from Alex's checking account
Answer:
The answer is that Alex wrote checks for 42.50 more than the amount he had.
Step-by-step explanation:
If he has -42.50 that means he owes the bank 42.50 the only way he would owe the bank that much is if he spent 42.50 that he didn't have.
A rectangular piece of cardboard measures 16 cm by 13 cm. What is the perimeter of the piece of cardboard?
Answer:
fifty eight centimeters I believe
Answer:
58cm
Step-by-step explanation:
a rectangle has two of the same sides so 16×2=32
and
13×2=26
so
32+26=58
I need help please with this math problem I’ve been having a really hard time trying to figure it out
Answer:
The height of the tree would be 30 ft.
Step-by-step explanation:
This is because the smaller triangle would be 6/12 and the bigger triangle would be x/60. When you cross multiply these you find that x is 30.
10 M 4 3 N 2 o 0 0 2 -5 3 0 - Angle MNO is rotated 180 degrees counterclockwise about the origin to form angle M'N'O'. Which statement shows the measure of angle M'N'O? (4 points)
I need to know how to do the equation shown in the attached jpeg file.
The value of A from the given expression is 4288.5
Solving exponential equationsExponential equations are inverse of logarithmic equation and the standard form of the equation is given as:
y = ab^x
Given the expression below:
A = 3000(1+0.018/12)^(12*2)
Simplify for the value of A
A = 3000(1+0.015)^24
A = 3000 (1.015)^24
A = 3000 (1.4295)
A = 4288.5
Hence the value of A from the given expression is = 4288.5
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Any know the answer to this?
f(x) =0x+5
P, Q, R, S, and T are on line k such that Q is the midpoint of PT, R is the midpoint of QT, and Sis
the midpoint of RT. If PS= 9, then what is PT?
The length of the line segment PT is 72 / 7.
What is the length of a given line segment?
In this problem we have the case of five colinear points, that is, points lying on a line, where the following conditions are fulfilled:
PT = 2 · PQ = 2 · QT (Q is the midpoint of PT) (1)
QT = 2 · PR = 2 · RT (R is the midpoint of QT) (2)
RT = 2 · RS = 2 · ST (S is the midpoint RT) (3)
PS = 9 (4)
PT = PS + ST (5)
By (4) and (3) in (5):
PT = 9 + RT / 2 (5b)
(1) in (5b):
2 · QT = 9 + RT / 2 (5c)
(2) in (5c):
4 · RT = 9 + RT / 2
(7 / 2) · RT = 9
RT = 18 / 7
By (5b):
PT = 9 + 18 / 14
PT = 9 + 9 / 7
PT = 72 / 7
The length of the line segment PT is 72 / 7.
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Which shows the correct method for solving the equation below? One-third (y minus 9) = 3 A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Answer:
It’s A took test
Step-by-step explanation:
Answer: I'm pretty sure it's A!
Step-by-step explanation: It's on Edge, hope this helped :)
3 intersecting lines are shown. A horizontal line contains points R, A, T, S. Another line intersects at point A and also contains D, A, C. Line A B extends away from the center of the other intersecting lines.
Analyze the diagram to answer the questions.
Another way to name AngleSAC would be Angle.
A point on ray AS is .
Line segment A R and Line segment A B create Angle.
Answer:
C or A I think it's correct
Name the function family that each equation best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answer:
you dont have 7 to 11
Step-by-step explanation:
13.a
15.a
12.i
14.h
Below is the table of values of a function. Write the output when the input is n.
input 5 6 8 n
Output 2 3 5
What’s is the last output?
During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answer: 1,176
Step-by-step explanation:
123.8 ÷ 62 ≈ plz help me.
Answer:
1.99677419355
Step-by-step explanation:
Answer:
1.996 rounds to 2
Step-by-step explanation:
p l e a s e a n s w e r t h i s q u e s t i o n NOW
Answer:
90 percent
Step-by-step explanation:
easy 36/40=0.9
that means 90 percent
just get big number divided by small
Brainliest PleaseAnswer:
90%
Step-by-step explanation:
36/40 = 9/109/10 = 90/100 90/100 = 90%I hope this helps!
There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answer: 475 inches
Step-by-step explanation:
if we have 100 tiles and each is 4.75 inches wide
100*4.75=475 inches
NO LINKS!! Please help me with these problems. Part 8a1
Answer:
33. y = -x² - 2x + 3
34. y = x² + 4x + 3
Equation of a parabola is given by y = a(x - h)² + k
where:
(h, k) is the vertex33.
Looking at the graph find the vertex, vertex is at (-1, 4)
Take one point: (1, 0)
Substitute (h, k) = (-1, 4) and (x, y) = (1, 0) into equation to find value of a:
0 = a(1 - (-1))² + 40 = a(2)² + 44a + 4 = 04a = -4a = -1Now equation:
y = a(x - h)² + k
y = -1(x - (-1))² + 4
y = -(x + 1)² + 4
y = -(x² + 2x + 1) + 4
y = -x² - 2x - 1 + 4
y = -x² - 2x + 3
34.
The vertex is at (h, k) = (-2, -1) and the curve passes through (x, y) = (0, 3)
Find value of a:
y = a(x - h)² + k3 = a(0 - (-2))² - 13 + 1 = a(2)²4a = 4a = 1Now equation:
y = a(x - h)² + k
y = 1(x - (-2))² - 1
y = 1(x + 2)² - 1
y = (x² + 4x + 4) - 1
y = x² + 4x + 3
Answer:
[tex]\textsf{33.} \quad y=-x^2-2x+3[/tex]
[tex]\textsf{34.} \quad y = x^2+4x+3[/tex]
Step-by-step explanation:
Question 33Factored form of a quadratic equation:
[tex]\boxed{y=a(x-r_1)(x-r_2)}[/tex]
where:
a is the leading coefficient.r₁ and r₂ are the roots.From inspection of the graph:
r₁ = -3r₂ = 1vertex = (-1, 4)Substitute the roots and the vertex into the formula and solve for [tex]a[/tex]:
[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies 4 & = a(-1-(-3))(-1-1)\\4 & = a(2)(-2)\\4 & = -4a\\-4a & = 4\\\dfrac{-4a}{-4} & = \dfrac{4}{-4}\\a & = -1\end{aligned}[/tex]
Substitute the found value of [tex]a[/tex] and the roots into the formula and rewrite in standard form:
[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies y & = -1(x-(-3))(x-1)\\y & = -(x+3)(x-1)\\y & = -(x^2+2x-3)\\y & = -x^2-2x+3\end{aligned}[/tex]
Therefore, the equation of the parabola in standard form is:
[tex]y=-x^2-2x+3[/tex]
Question 34Vertex form of a quadratic equation:
[tex]\boxed{y=a(x-h)^2+k}[/tex]
where:
(h, k) is the vertex.a is some constant.From inspection of the graph:
Vertex = (-2, -1) ⇒ h = -2 and k = -1y-intercept = (0, 3)Substitute the vertex and y-intercept into the formula and solve for [tex]a[/tex]:
[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies 3 & = a(0-(-2))^2+(-1)\\3 & = a(0+2)^2-1\\3 & = 4a-1\\3 +1& = 4a-1+1\\4 & = 4a\\4a & = 4\\\dfrac{4a}{4} & = \dfrac{4}{4}\\a & = 1\end{aligned}[/tex]
Substitute the found value of [tex]a[/tex] and the vertex into the formula and rewrite in standard form:
[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies y & = 1(x-(-2))^2+(-1)\\y & = (x+2)^2-1\\y & = (x+2)(x+2)-1\\y & = x^2+4x+4-1\\y & = x^2+4x+3\end{aligned}[/tex]
Therefore, the equation of the parabola in standard form is:
[tex]y & = x^2+4x+3[/tex]
Y hat = -29.8 +2.83
Please help me find the interpret slope!
Answer:
The answer is 32.63
Step-by-step explanation:
Answer:
= −26.97
Step-by-step explanation:
What is the factored form of 64g3+8
Answer:8(2g+1)(4g2-2g+1)
Step-by-step explanation:
A school carnival is having a dunk tank. The graph shows the temperature, t, in Fahrenheit after h hours.
Tank Temperature
Which linear function does the graph represent?
Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?
Answer:
The graph shows no trend.
Step-by-step explanation:
See attachment for given graph
Required
What is true about the graph?
From the attached graph, the following points can be deduced:
The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreasesBecause of the highlighted points, it is safe to conclude that the graph shows no trend.
Answer:
D
Step-by-step explanation:
Solve for x. x - 7 = 25
Answer:
x = 32
Step-by-step explanation:
x - 7 = 25
To solve equations, you do the some thing to both sides to isolate x.
After adding 7 to both sides we have:
x = 32
Answer:
x = 32
Step-by-step explanation:
⇒ Isolate the variable x by adding 7 to both sides:
x – 7 + 7 = 25 + 7
⇒ Evaluate the equation to finally get:
x = 32
Hope this helps! :)
8.
Which of the following is not sufficient to
prove a quadrilateral a parallelogram.
a. Show both pairs of opposite sides congruent.
b. Show both pairs of opposite angles congruent.
c. Show both pairs of opposite sides parallel.
d. Show one pair of opposite sides congruent and
the other pair of opposite sides ||-
e. Show the diagonals bisect each other.
Please help with steps??? Question: Find the solution for a system of equations by elimination
2a - 3y=6
5a +7y = -14
Which is the equation of a line that has a slope of 1/2 and passes through point (-2,3)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Which expression is a sum of a number and a product? O A. 2(x-9) O B. 6x- 4 O c. 4+ 2x O D.
Answer:
Step-by-step explanation:
Option C is the correct answer
Use the diagram to complete these statements. If m26 = 50°, then m2 = 50° If m 25 = 70°, then m = 70 What is the measure of 22?
m2 2 =
Answer: 1,3,60°
Step-by-step explanation:
7th Grade Math | I NEED HELP
Xander and Pedro are at an ice cream social. For every scoop of ice cream, Xander uses /8 eighth cup of fruit topping. Pedro uses one more tablespoon of fruit topping than the number of scoops. If Xander and Pedro each use the same amount of fruit topping, how many scoops of ice cream does each use?
9514 1404 393
Answer:
1 scoop
Explanation:
There are 16 tablespoons in 1 cup, so Xander uses (1/8)·(16 tbsp) = 2 tbsp of topping for each scoop of ice cream.
For 1 scoop of ice cream, Pedro will use 1+1 = 2 tbsp of topping.
Hence, both use the same amount of topping (2 tbsp) for 1 scoop of ice cream.
a group of friends every time they play a game of marbles, they lose 5 marbles as it’s a big playground and they can’t be bothered to look for marbles that roll away somewhere. every time a game of marbles ends (each game takes 10-15 minutes), they collect all their marbles in a big box, hide it behind a tree, and go for a quick run. every time these kids hide all their marbles in a box behind the tree, a very intelligent squirrel sneaks up to the box, and if there are more than 12 marbles in it, the squirrel steals 3 marbles and runs off. if this group of kids started with 120 marbles in total, how many games can they play in total before they have less than 10 marbles left (given that they lose some marbles each time they play, and a squirrel steals some marbles each time they go for a run).
Answer:
14 gamesStep-by-step explanation:
Initial number of marbles = 120Lost at every game = 5Stolen by a squirrel = 3Left = less than 10Let the number of games be x
then lost marbles = 5xstolen marbles = 3xInequality:
120 - 5x - 3x < 10120 - 8x < 10110 < 8xx > 110/8x > 13 rounded downSince there should be more than 0 left, another inequality for it:
120 - 8x > 0120 > 8x x < 15So 13 < x < 15, which leaves us with 14
Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.
The wrench having the size as 5/8inch will accommodate the largest bolt.
When the denominator of all the fractions is same , then the fraction with largest numerator is the largest .
For Example : in 2/9 and 7/9 , the largest is 7/9.
In the given question
the different sizes of wrenches are 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.
For comparison , first make the denominator equal
To make the denominator equal , take LCM of denominator
LCM of 2,16,8,32 is 32.
so in 1/2 multiplying the denominator and numerator by 16 we get
1/2 inches as 16/32inches ...(i)
In 7/16 multiplying the denominator and numerator by 2 we get
7/16 inches as 14/32 inches ...(ii)
In 5/8 multiplying the denominator and numerator by 4 we get
5/8inches as 20/32 inches ...(iii)
Writing all sizes of wrenches with same denominator
{16/32 , 14/32 , 20/32 , 15/32 }
Rearranging in descending order we get ,
{20/32 > 16/32 > 15/32 > 14/32}
Which means {5/8 > 1/2 > 15/32 > 7/16} ...(from (i),(ii)&(iii) )
Therefore , the wrench having the size as 5/8 inch will accommodate the largest bolt. the correct option is (c)5/8inch .
The given question is incomplete , the complete question is
Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch. Which size of wrench accommodates the largest bolt?
(a)1/2 inch
(b)7/16 inch
(c)5/8 inch
(d)15/32 inch
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