Answer:
X=2
Step-by-step explanation:
9x+8(-4x+7)=10
9x+(-32x)+56=10
-23x=10-56
-23x=-46
X=-46/-23
so X=2
02.CI.Pre-
What is the approximate distance between point L (3,5) and point M (9,- 7)?
6.3 units
13.4 units
18.0 units
90.0 units
13.4 units hope this was helpful
The distance between two given coordinate points is 13.4 units. Therefore, option B is the correct answer.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
The given coordinate points are L (3, 5) and M (9, -7).
Substitute, (x₁, y₁)=(3, 5) and (x₂, y₂)=(9, -7) in distance formula, we get
LM=√(9-3)²+(-7-5)²
= √36+144
= √180
= 13.4 units
Therefore, option B is the correct answer.
To learn more about the distance formula visit:
brainly.com/question/27262878.
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Find the solution to the system of equations
Answer:
(6,30)
Step-by-step explanation:
This is where the two lines intersect. Also, we can verify our answer by plugging 6 in for x and 30 in for y.
A student is solving the problem x^2 + 10x+ ___ = 16 + ___ by the method of completing the square. What number should the student add to both sides?
Answer:
I believe it could be any number because:
let y=any number
x^2+10x+y=16+y
x^2+10x+y-y=16+y-y
x^2+10x=16
you can add any number to both side and not change the solution.
The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
What is quadratic equation?"It is an equation with degree two.""The general form of quadratic equation is ax² + bx + c = 0"What is the method of completing the square?To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.
1) First divide both the sides of the equation by the coefficient of x² that is 'a'
2) Add or subtract both the sides of the equation by (b/2)² that is complete the square
3) Solve the resulting equation to find the roots of the equation
For given example,
We have been given a quadratic equation x² + 10x+ ___ = 16 + ___
By comparing given equation with ax² + bx + c = 0,
we have a = 1, b = 10
To complete the square for given quadratic equation we add (b/2)² on both the sides.
⇒ (b/2)² = (10/2)²
⇒ (b/2)² = 5²
⇒ (b/2)² = 25
So, the quadratic equation would be,
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 41
⇒ x + 5 = ±√41
⇒ x = -5 ± √41
So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41
Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
Learn more about the completing the square here:
https://brainly.com/question/4822356
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there are 20 girls and 16 boys in a classroom. complete the table of ratios below.
Answer:
The ratio of boys to girls is [tex]\frac{16}{20}[/tex]
The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Boys to girls:
There are 16 boys and 20 girls.
So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]
Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
Girls to total students
There are 20 girls and 20 + 16 = 36 total students.
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
PLEASE ANSWER FAST I HAVE 10 MINUTES LEFT AND ILL GIVE BRAINLIEST IF CORRECT!
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
It would be the first choice, A'B'C'D' with points (-4, 4); (12, 4); (12, -4); and (-4, -4)
Step-by-step explanation:
Each point on rectangle A'B'C'D are 4 times the original distance from the origin as the rectangle ABCD.
Answer:
Ummm the first choice?
Step-by-step explanation:
I guessing and not reading
The slope and y-intercept of the equation y – 5x = 7.
Graph points
Answer:
The slope is 5
the y-intercept is (0,7)
Step-by-step explanation:
How many terms are in the following expression:
2x3 + 3x2 + 2 - 1
A. 1
B. 4
C. 6
D. 11
Answer:4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The numbers are the terms
6 numbers 6 terms
7-1 Mathematical Literacy and Vocabulary Dilations
The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right.
Problem Graphing a Dilation.
What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.
Read the problem. What do you need to find to solve the problem?
Answer: Coordinates of the vertices of the vertices of the given imagen.
Carol bought 8 mangoes for N160.00 and sold each one for N25.00.what was his percentage gain?
Answer:
20%
Step-by-step explanation:
8 × 25 = 200
200 × 20% = 160
-6x-(-8)=2
step by step
Equation/Question:
-6x-(-8)=2
Answer/Way I did it:
1. Remove parentheses.
-6x+8=2
2. Subtract 8 from both sides.
-6x=2-8
3. Simplify 2-8 to -6.
-6x=-6
4. Divide both sides by -6.
x=1
-------------
Checking:
Equation/Question:
−6x−(−8)=2
----------------------
1. Let x=1.
−6×1+8=2
2. Simplify -6×1 to −6.
-6+8=2
3. Simplify -6+8 to 2.
2=2
Done by NeighborhoodDealer
what is B? b-1/4=3 1/2
Answer:
hello! :) have a good day!
Exact Form:
b =15/4
Decimal Form:
b =3.75
Mixed Number Form:
b =3 3/4
help hlp hlp hlp pls pls pls pls
Answer:
10m
Step-by-step explanation:
Hope this helps! Please give me brainliest and tysm!
Answer:
10 m
Step-by-step explanation:
Area of the triangle
=40 m²
height (h) = 8 m
Base (b) = ?
We know
Area of triangle = 1/2 * b * h
40 = 1/2 * b * 8
40 = 4b
b = 10 m
Hope it will help :)
How many solutions does the equation 9 (x - 3) = 9x - 27 have?
Answer:
Infinity
Step-by-step explanation:
9x -27 = 9x -27
-9x . -9x
-27 = -27 = always true
1 + 100000 + 100000 + 100000 =
PLEASE HELP QUICKLY !!!!!!!!!!!!!! I will give brainliest
t=100 I was not sure about y sowyy
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
What’s the distance between -1/2 and 5/4 ?
Answer:
-1.75
Step-by-step explanation:
Answer:
7/4
Step-by-step explanation:
5/4-(-1/2)
5/4+1/2
5/4+2/4
7/4
Cups are sold in packages of 8. Napkins are sold in packages of 6. If you want to purchase the fewest number of cups and the fewest number of napkins so there will be the same of each, how many packages of napkins will there be?
who wants a slushie ?
Answer:
i want a slushie what's your favorite slushie flavor
Given the rectangle ABCD, find measure of angle EFH, measure of angle FEH. Also find, HI and GE.
HF= 36
measure of angle HFG = 30
Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster?
Answer:
Olivia-2.25
Hope I helped
1/2x -5-1/3y when x =48 and y=15
help me out
14 < n - 22
Answer:
14+22=36
36 is less than n
Step-by-step explanation:
The function f is defined by the following rule.
Find f(x) for each x-value in the table.
Answer:
x y
-2 36
-1 6
0 1
1 1/6
2 1/36
Step-by-step explanation:
Given
[tex]f(x) = (\frac{1}{6})^x[/tex]
Required
Complete the table
When x = -2.
Substitute -2 for
[tex]f(-2) = (\frac{1}{6})^{-2[/tex]
[tex]f(-2) = 1/\frac{1}{36}[/tex]
[tex]f(-2) = 36[/tex]
When x = -1
[tex]f(-1) = (\frac{1}{6})^{-1[/tex]
[tex]f(-1) = 1/\frac{1}{6}[/tex]
[tex]f(-1) = 6[/tex]
When x = 0
[tex]f(0) = \frac{1}{6}^0[/tex]
[tex]f(0) = 1[/tex]
When x = 1
[tex]f(1) = \frac{1}{6}^1[/tex]
[tex]f(1) = \frac{1}{6}[/tex]
When x = 2
[tex]f(2) = \frac{1}{6}^2[/tex]
[tex]f(2) = \frac{1}{36}[/tex]
The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.96. What should be done about the production line
Answer:
Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
Step-by-step explanation:
Given that;
95% confidence interval for these parts is 56.98 to 57.05
[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )
Sample mean = 56.96
We know that;
If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.
But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.
Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).
Therefore, Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
How were some European Jews able to come to Georgia in the 1930s? Check all that apply.
The US government loosened its restrictions on Jewish immigration.
Officials in the Georgia state government sponsored most immigrants.
Jewish immigrants tried to help family members back in Europe escape.
Private organizations helped Jewish children and teenagers find homes.
American citizens legally agreed to be responsible for Jewish immigrants.
Jewish American activists worked to bring immigrants to the United States.
Answer:
1 2 and 4
Step-by-step explanation:
Answer:
3,4,5,&6
Step-by-step explanation:
What is 264*675+1239-56+887
Answer:
180270
Step-by-step explanation:
Do Pemdas to find order of operations:
(264*675)+ 1239-56+887
So it is:
(178200)+2070
This equals: 180,270
identify the function of the transformation
pls help me pls help me pls help me
Step-by-step explanation:
area of triangle = 1/2 × base × height
= 1/2 × 6×4
= 12 cm²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
thankyou.
I think it’s 12cm but I am not sure sorry dude
Sam the jeweler bought 126 beads and 36 strings from a shop. He wants to make a certain
number of necklaces using the same combination of beads and the strings, with no
pieces left over. What is the greatest number of necklaces Sam can make?
Answer:
n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and Rochelle has invested $2500 in a jewelry making kit.
Step-by-step explanation:
