If an object is placed 8 cm from a lens with a focal length of 4 cm, the image is 8 cm from the lens
Let the focal length be represented by f
Let the distance between the object and the lens be represented by u
Let the distance between the image and the lens be v
The focal length, f = 4 cm
The distance between the object and the lens, u = 8cm
The distance between the image and the lens, v = ?
The relationship between the focal length (f), distance between the object and the lens (u), and the distance between the image and the lens (v) is given below:
[tex]\frac{1}{u} + \frac{1}{v} = \frac{1}{f}[/tex]
Substitute f = 4, and u = 8 into the equation above:
[tex]\frac{1}{8} + \frac{1}{v} = \frac{1}{4} \\\\\frac{1}{v} = \frac{1}{4} - \frac{1}{8}\\\\\frac{1}{v} = \frac{2-1}{8}\\\\\frac{1}{v} = \frac{1}{8}\\\\v = 8[/tex]
Therefore, the image is 8 cm from the lens
Learn more here: https://brainly.com/question/19146043
Help me please I do not understand it.
I am a High School Aged girl who is the smartest in my school.
I just have one question that I can NEVER figure out the answer to:
9 + 10 = 21, right?
Do YOU dare tell me I'm wrong? :o
Answer:
the answer is 19
Step-by-step explanation:
count with your figures 10 fingers add 9 and 19. :))))
cómo ubicar éstos números en la recta numérica -5,4,-17,17,23
Answer:
em ordem son
-17 -5 4 17 24
Step-by-step explanation:
los números menores de 0 son en orden decreciente desde 0 para la izquierda y los más grandes de 0 son en orden cresciente desde 0 para la derecha
Challenge Andy and Emily each go to a hardware store to buy wire. The
table shows the cost y in dollars for x inches of the wire they need. Andy
needs 23 feet of the wire. Emily needs 15 yards of the wire. How much will
each of them spend for wire?
Answer:
Andy will spend 276y
Emily will spend 540y
Step-by-step explanation:
So for all intents and purposes, x=y
12 inches per 1 foot
3 feet per one yard
Andy:
23ft. needed
12*23=276
Will by 276 inches or 276x
Emily
15yards needed
15*3*12=540
Will by 540 inches or 276x
please help me
question attached below:)))
Answer:
D(5, 4), E(14, 7), M(9.5, 5.5)Step-by-step explanation:
As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB
Find the coordinates of D:
x = 1 + 1/4(17 - 1) = 1 + 4 = 5y = 5 + 1/4(1 - 5) = 5 - 1 = 4Find the coordinates of E:
x = 13 + 1/4(17 - 13) = 13 + 1 = 14y = 9 + 1/4(1 - 9) = 9 - 2 = 7Find the coordinates of the midpoint M of DE:
x = (5 + 14)/2 = 19/2 = 9.5y = (4 + 7)/2 = 11/2 = 5.5Can someone pls help me
__________
[tex] \: [/tex]
b² = c² - a²
b² = 10² - (√19)²
b² = 100 - 19
b² = 81
b = √81
b = 9
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=10^2-(√19)^2[/tex]
[tex]\\ \sf\longmapsto P^2=100-19[/tex]
[tex]\\ \sf\longmapsto P^2=81[/tex]
[tex]\\ \sf\longmapsto P=9[/tex]
Henry is following the recipe card to make a
cake. He has 95 cups of flour. How many cakes
can Henry make?
expand and simplify (3m-2n)²
Answer:
9m^2 - 12mn + 4n^2
Step-by-step explanation:
Answer:
9m²-12mn+ 4n²
Step-by-step explanation:
First you expand it so
(3m-2n)(3m-2n)
9m²-6mn-6mn+4n²
9m²-12mn+ 4n²
And this is the simpliest form , hope this helped:))
Mr. Mustard said: “If you add the ages of my two daughters, plus my age, the sum is 70." Mr. Mustard's daughters are 15 and 11 years old. How old is Mr. Mustard?
Answer:
Mr.Mustard is 44 years old!
Step-by-step explanation:
I added the girls age 15 + 11 = 26. i then 70 - 26 = 44. To make sure, I did 44 + 15 + 11 which i got 70.
can you mark me brainliest lol
Which ordered pair is a solution to the linear inequality below? y>-2x+7
Answer:
its y>-2x+7 = y>14x+21 its my faault its not correct
Step-by-step explanation:
hope it helps thank youll
what is 3x + xy factorised
Answer:
[tex]x(3 + y)[/tex]
Step-by-step explanation:
Hi there!
[tex]3x + xy[/tex]
The two terms in this expression are 3x and xy. In both these terms, x is present. Therefore, we can factor x out:
[tex]x(3 + y)[/tex]
We cannot factor this further.
I hope this helps!
Answer:
x(3+y)
Step-by-step explanation:
Hope this helps you
Latoya bought an item for $66. Before that, she had $402.44. How much money does Latoya have now.
Answer:
$336.44
Step-by-step explanation:
$402.44 - $66 = $336.44
No links please chdudnvd
Sorry i can't answer that, but i have something know what ways better to answer of all your problems that is "QuickMath" or "Cymath" go search at your browser then put your equation
Step-by-step explanation:
I hope it helps
The cube root of 175616 is:
Answer:
56
Step-by-step explanation:
We can represent 175616 as the product of primes as below:
175616=2×2×2×2×2×2×2×2×2×7×7×7
Grouping the factors to form the triplet, we have:
175616=2×2×2 ×2×2×2 ×2×2×2 ×7×7×7
Taking the cube root, we have:
[tex]\sqrt[3]{175616} = 2*2*2*7[/tex]
Simplifying, we have:
[tex]\sqrt[3]{175616} = 56[/tex]
Hence, the cube root of 175616 is 56
Hope it helps
Peace
Please mark me as brainliest
Pilar and Ravi start at opposite ends of a 55-mile bike trail. They start riding 1 point
their bikes toward each other at the same time. After 3 hours, they meet.
Pilar rides 34 miles before they meet. How far did Ravi ride when they met?
Answer:
21 miles
Step-by-step explanation:
total of 55 miles. Pilar rides 34
Ravi rides 21
55 - 34 = 21
The explicit formula an = 2+5(n-1) represents an arithmetic sequence. Write the recursive
formula for the sequence.
Answer:
a_1=2, a_n=5+a_(n-1)
Step-by-step explanation:
a1=2
a2=7
a3=12
...
Are the students correct? Explain. Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2). Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6. Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6. Neither student is correct; the slope of the parallel line should be 1.
Answer: c
Step-by-step explanation: right on edge
Answer:
c
Step-by-step explanation:
.
Think About It!
What happens if you add 5 to each side of x – 5 = 15? Which Property of Equality are you using?
Answer:
Addition property
Adding 5 to the each side makes it
x -5 + 5 = 15 +5
x = 20
The image of (6, 9) under a dilation is (4, 6) The scale factor is
Ignore the stuff I have wrote down but answer please??
Answer:
x=4
Step-by-step explanation:
7x-2=12x-22
7x-12x=-22+2
-5x=-20
x=20÷5
=4
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3: negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five
Step 1: She should have added 25 to each side.
Step 1: She should have divided both sides by −5.
Step 3: She should have divided both sides by −5.
Step 3: She should have multiplied both sides by −5.
Answer:
step 1 was wrong she should have added 25 to both sides
Step-by-step explanation:
step 3 was correct she divided both sides by -5
how can I Simplify (5²)⁴
Step-by-step explanation:
multiple 2× 4
then your answer. would be 8
Answer:
(5²)⁴ =5²×5⁴ =5⁸
Step-by-step explanation:
If K is the ratio of the roots of the polynomial x²+px-q, the value of k/1+k² is:
[tex]\large\underline{\sf{Solution-}}[/tex]
Given Polynomial:
[tex] \rm \longmapsto f(x) = {x}^{2} + px - q[/tex]
Let α and β be the zeros of f(x)
Then:
[tex] \rm \longmapsto \alpha + \beta = - p[/tex]
[tex] \rm \longmapsto \alpha \beta = - q[/tex]
Now, it's given that:
[tex] \rm \longmapsto k = \dfrac{ \alpha }{ \beta } [/tex]
Consider the expression given:
[tex] \rm = \dfrac{k}{1 + {k}^{2} } [/tex]
[tex] \rm = \dfrac{ \dfrac{ \alpha }{ \beta } }{1 + { \dfrac{ \alpha {}^{2} }{ \beta {}^{2} } }} [/tex]
[tex] \rm = \dfrac{ \dfrac{ \alpha }{ \beta } }{ { \dfrac{ \alpha {}^{2} + { \beta }^{2} }{ \beta {}^{2} } }} [/tex]
[tex] \rm = \dfrac{ \alpha }{ { \dfrac{ \alpha {}^{2} + { \beta }^{2} }{ \beta } }} [/tex]
[tex] \rm = \dfrac{ \alpha \beta }{\alpha {}^{2} + { \beta }^{2} } [/tex]
[tex] \rm = \dfrac{ \alpha \beta }{ {( \alpha + \beta )}^{2} - 2 \alpha \beta } [/tex]
[tex] \rm = \dfrac{ - q }{ {p}^{2} + 2q} [/tex]
what is this answer?
Step-by-step explanation:
-(x + 4) - 3x = x
-x - 4 - 3x = x
-x - 3x - 4 = x
-4x - 4 = x
-4 = 5x
-4/5 = x
x = -4/5
Question Help Amelia needs to buy some cat food. At the nearest store, 2 bags of cat food cost $9.50. How much would Amelia spend on 5 bags of cat food? Amelia would spend $ on 5 bags of cat food.
Are these triangles similar
Answer:no
Step-by-step explanation: cause one is 42 & 62 the other one is 62 & 58
Answer:
NOO!
THE ANGLES MUST BE SAME
Choose SSS, SAS, or neither to compare
these two triangles.
TIE
THI
A
B
С
SSS
SAS
neither
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
According to above figure, we can conclude that :
The given triangles are congruent by SSS criteria.A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of
gold in each bracelet is 8 grams and the amount of gold in each necklace is 24 grams.
The jeweler made a total of 16 bracelets and necklaces using 288 grams of gold.
Graphically solve a system of equations in order to determine the number of bracelets
made, x, and the number of necklaces made, y.
Graph plz
Answer:
Melinda feels lonely and isolated because no one will sit with her and her friends ignore her and people pick on her.
Step-by-step explanation:
4rnhub.
He'll no
PLEASE HELP , convert each equation to a positive exponent
Answer:
1)
1/6^4
2)
1/275^8
3)
1/x^20
4)
1/a^16
5)
1/g^14
Step-by-step explanation:
the answers explain themselves so consider this step by step explanation blank
4 times a number minus 6 equals at least 30
Answer:
x = 9!
Step-by-step explanation:
30 + 6 = 36
36/4 = 9