Answer:
Line 1 passes through (5, -9) and (0, -5)
We are going to use slope-intercept form of a linear equation.
First we are going to find the slope of the line.
m= -5- (-9)
-------
0-5
m=4/-5
Now substitute in the point to find the y-intercept:
Either point can be used. I am using point (0,-5)
y=-4/5x+b
-5=-4/5(0)+b
-5=b
So, the linear equation is y=-4/5x-5
Line 2 passes through (-3, 8) and (1, 3)
m=3-8
-----
1-(-3)
m=-5/4
Use slope intercept form and substitute in either point
I am using point (1,3)
y=-5/4x+b
3=-5/4(1)+b
3=-5/4+b
3+5/4=b
17/4=b
Therefore, the equation of Line 2 is y= -5/4x+17/4
Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4
Which segment is parallel to ED?
Answer:
AB
Step-by-step explanation:
The segments that are parallel need to be in the same direction ( up and down)
The segments that are parallel are FH, AB, GC
Answer:
AB
Step-by-step explanation:
since is a cube all of the angles are 90 degees and this only possibel whn the line That a vertical a parrelllt to each other
Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.
Which inequalities can represent this situation if m is the number of songs he can buy? Select two options.
1 + 1.5 m less-than-or-equal-to 25
Answer:
A, E or 1, 5
Step-by-step explanation:
Its not A, D
6.
Ahmad claims that the difference of squares method of factoring can be used even when the values aren't perfect squares. An example of his thinking is shown.
Answer:
Below.
Step-by-step explanation:
a. (x - √5)(x + √5)
= x(x + √5) - √5(x + √5)
= x^2 + √5x - √5x - 5
= x^2 - 5.
b. 10 - 3x^2
= (√10 - √3x) (√10 + √3x)
(a) Ahmad's factorization is correct.
(b) (√10 - √3x)(√10 + √3x)
Given equation as
x² - 5 = (x - √5)(x + √5)
What is a Perfect Square?
A Perfect Square is defined as when multiplying an integer by itself, we get a perfect square, which is a positive integer. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.
Solution of (a)
Taking RHS from the given equation
⇒ (x - √5)(x + √5)
⇒ x(x + √5) - √5(x + √5)
⇒ x² + √5x - √5x - 5
⇒ x² - 5.
So, RHS = LHS
Hence, Ahmad's factorization is correct.
Solution of (b)
⇒ 10 - 3x²
According to Ahmad's strategy
⇒ √10(√10 + √3x) - √3x(√10 + √3x)
⇒ (√10 - √3x)(√10 + √3x)
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pls solve pllsssssssssss
Answer:
Step-by-step explanation:
In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is
Answer:
17
Step-by-step explanation:
Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so
[tex]50 + x + x = 180[/tex]
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 65[/tex]
This means angle b and C of the triangle ABC measure is 65.
External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.
This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so
[tex]32.5 + 65 + x = 180[/tex]
[tex]98.5 + x = 180[/tex]
[tex]x = 81.5[/tex]
Angle C is 81.5 as well so
[tex]81.5 + 81.5 = 163[/tex]
Find angle o
[tex]180 - 163 = 17[/tex]
A fundraiser was held to split the profits between the 9 baseball players. How much money was raised if each player earned $326? Construct a division equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.
Answer:
Part 1
The number of baseball players that are to split the profits = 9 baseball payers
The amount of money each player earned = $326
Let x represent the total amount of money raised, and given that each baseball player received equal amount of the profits we have the following division equation;
[tex]The \ division \ equation \ is , \dfrac{x}{9} = \$ \, 326[/tex]
Part 2
Solving for the variable, gives;
x = 9 × $ 326 = $2,934
The amount of profits from the fundraiser, x = $2,934
Part 3
The amount, A, each of the 9 players will earn from the profit of $2,934 raised in the fund raiser is given as follows;
A = $2,934/9 = $326
∴ The amount each of the 9 players will earn, A = $326, therefore the answer corresponds to the value in the question and is therefore, correct
Step-by-step explanation:
Find the coordinates of the midpoint for the pair of points below a) (2,5) , (8,9) b) (9,1) , (5,17)
Answer:
a) (5,7) b) (7,9)
Step-by-step explanation:
Use the formula xmidpoint= (x1+x2)/2 ymidpoint= (y1+y2)/2
a) xm= (2+8)/2=5
ym=(5+9)/2=7
b) xm=(9+5)/2=7
ym=(1+17)/2=9
hi pls help. pls explain a bit thank you:)
Answer:
beby sing of lain ting is day lrk jih
Find the vertical asymptotes of the function (x-1)(x-3)^2(x+1)^2/(x-2)(x+2)(x-1)(x+3)
Answer:
x=2, x=-2, x=-3
Step-by-step explanation:
-check if anything simplifies
(x-1)(x-3)²(x+1)² / (x-2)(x+2)(x-1)(x+3), simplify (x-1)
(x-3)²(x+1)² / (x-2)(x+2)(x+3)
-make the denominator 0 to find the asymptotes
(x-2)(x+2)(x+3) = 0
(x-2) =0 gives x = 2 asymptote
(x+2) =0 gives x= -2 asymptote
(x+3) = 0 gives x=- 3 asymptote
sequence of number - 25,23,20,16
find next three term
do with process
Answer:
11,5,-2
is the answer. I hope it will help you.
please answer this question!!
Answer:
a
Step-by-step explanation:
all angles of an equilaterall triangle are equal therefore 180÷3 = 60
resolute academy algebra 1
Answer:
B
Step-by-step explanation:
We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as
2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3
Comparing this with each answer, we have
A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct
B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure
C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect
D: [tex]\frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3[/tex]. This is incorrect
Answer:
C. 2(x + 10)(x - 10)
Step-by-step explanation:
2x^2-200\\2(x^2-100)\\2(x+10)(x-10)
2. Terrence is tracking his own grades. On his first quiz, he got 3 points correct out of 20
points possiblé, or 15%. On his second quiz, he got all 30 points correct.
a. How many points has Terrence earned so far?
SAS
b. How many total points were available on the two quizzes?
c. What is Terrence's percentage grade right now?
Answer:
a) 33
b) 50
c) 66%
Step-by-step explanation:
a) 3+30
b) 20+50
c) 33/50 * 100% = 66%
What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
27
36
Answer:
x = 9
Step-by-step explanation:
we can plug in the given value for y into the equation to find x
2x + 3y = 36
2x + 3(6) = 36
2x + 18 = 36
2x = 18
x = 9
Answer:
x = 9
Step-by-step explanation:
2x + 3y = 36
Let y=6
2x+3(6) = 36
2x+18 = 36
Subtract 18 from each side
2x+18-18 =36-18
2x = 18
Divide by 2
2x/2 =18/2
x = 9
Find the missing segment in the image below
Answer:
Step-by-step explanation:
Which expressions are equivalent to 5+(-3)(6x-5)5+(−3)(6x−5)5, plus, left parenthesis, minus, 3, right parenthesis, left parenthesis, 6, x, minus, 5, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 18x-2018x−2018, x, minus, 20 (Choice B) B 3x-33x−33, x, minus, 3 (Choice C) C None of the above
5+(-18x+15)5 + (-18x +15)5
5+ (-90x +75) + (-90x + 75)
-180x +155
let's see the alternatives:
a) -2000x - 2018 -> -200x - 201,8
b) -30x - 33 -> -180x -198
c) none of the above
so, c is the right one
hope it helps :)
Answer:
ITS C
Step-by-step explanation:
Plsss help asap plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
The answer is the last one, (X^2-2)/3!
Step-by-step explanation:
To get the inverse of a function, you switch the variables and solve for y. Doing this produces the last choice.
Kay must re-carpet her circular den. If the diameter of the
den is 6 yards, what is the total square yardage of carpet
that is needed?
Answer:
28.26² yards
Step-by-step explanation:
Diameter is 6.
Radius=Diameter/2. r=6/2
Area=Pi*Radius²
I'll just use 3.14 for pi
Area=3.14*3²
3²=9 3.14*9=28.26
so the answer 28.26²
Relaciona la columna de la izquierda con los elementos asociados al polígono
a) centro
b) lado
c) vértice
d) ángulo interno
e) radio
f) ángulo central
g) apotema
h) ángulo exterior
Answer:
i dont know
Step-by-step explanation:
bu bu bu
HELP ME PLS I NEED TO GET THIS DONE TONIGHT AND IM STRESSING ITS PYTHAGOREAN THEOREM
Find the value of x.
A. 31
B. 25
C.5
D. 11
Answer:
D) 11
Step-by-step explanation:
Explanation:
Segment AC is the midsegment of the trapezoid (since A and C are midpoints of DE and FB respectively)
This means that AC is the average of the two parallel bases EB and DF
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
The value of x is 11.
What is mid point theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.
In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:
Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,
(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )
This is known as the midpoint theorem formula.
As, A and C are midpoints of DE and FB respectively
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
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Find the area of the triangle.
PLEASE HELP ASAP!
Answer:
D 111.4 cm²
Step-by-step explanation:
Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.
Answer:
Step-by-step explanation:
Volume of a cone formula is
[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:
[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us
V = 733 units cubed
Pls help and fast! 17 points!
Answer:
54 square units
Step-by-step explanation:
144 - 18 - 4(18) = 54 square units
Given the preimage and image, find the dilation scale factor
Answer:
1/2
Step-by-step explanation:
the dilation factor should be 1/2
if u count the dots on the sides of the preimage there are 2 dots that's the length if u count the dots on the real image it's 4therefore 2/4 to it's lowest term is 1/2 so 1/2 is the scale factorAnswer:
should be 1/2 as your answer
The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves
Answer:
Ty = √k * Tx
The orbital period of Y has to be be multiplied by √k . or . k∧1/2
Step-by-step explanation:
The general equation:
T² = A³
is for the case of planet X
Tₓ² = Aₓ³
In the case of planet Y
Ty² = k * Aₓ³ . and Aₓ³ = Tₓ²
By substitution:
Ty² = k *Tₓ²
Ty = √k * Tx
Answer:
D: K^3/2
Step-by-step explanation:
Just took the test and this is right
There is a distance marker every 100 m and a pole every 80 m along a straight road. There is a distance marker and a pole together at the start of the road. How far along the road will there be a distance marker and a pole together again?
Answer:
At a distance of 400 m.
Step-by-step explanation:
From the information in the given question, a distance marker and pole are together at the start of the road.
Thus,
the distance marker would mark the road 100 m, 200 m, 300 m, 400 m, 500 m etc.
Also,
the pole would be located 80 m, 160 m, 240 m, 320 m, 400 m, 480 m etc.
Comparing the distance of location of the marker and pole, it would be observed that the next location where the two would be together is 400 m from the starting point.
Therefore, there would be a distance marker and a pole together at 400 m from the stat of the road.
We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 102 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county.
Answer:
The answer is "[tex]0.34 \pm 0.060[/tex]".
Step-by-step explanation:
Point estimate = Sample proportion [tex]= \frac{102}{300}= 0.34[/tex]
For [tex]95\%[/tex] confidence, [tex]z = 1.96[/tex]
Hence,
Margin of error[tex]= 1.96 \times \sqrt{0.34\times \frac{0.84}{300}}=1.96 \times 0.0308 = 0.060[/tex]
Therefore,
Confidence interval in the tri-equality form:
[tex]\to 0.34 - 0.060 < p < 0.34 + 0.060\\\\\to 0.28 < p < 0.4[/tex]
Confidence interval using point estimate and margin of error:
[tex]p = 0.34 \pm 0.060[/tex]
2. Find F(x)+g(x)
4 options to pick from
Answer:
first option
3x³ - 6x - 4
HOPE IT HELPS YOU
THANK YOU
The scale on a map is 1 inch = 10 miles.
What is the distance, in inches, on the map
between two towns that are m miles apart?
F.
m/10
G. M/5
H.5m
J.10m
K.m+10
Answer:
F. m/10.
Step-by-step explanation:
10 miles = 1 inch
1 mile = 1/10 of an inch so
m miles = m/10 inches.
