To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:
(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)
= x² - 7x - 8x + 56
= x² - 15x + 56
Answer: x^2-15x+56
Step-by-step explanation:
1-Distribute
x(x-7)-8(x-7)
2-Distribute
x^2-7x-8(x-7)
3-Distribute
x^2-7x-8x+56
4-Combine like terms
x^2-15x+56
May I please receive help?
Which of the following is a function equivalent
[tex]f(x) = 4 {(1.8)}^{2x} [/tex]
a.
[tex]f(x) = 4 {(3.24)}^{x} [/tex]
b.
[tex]f(x) = 4(3.24x)[/tex]
c.
[tex]f(x) = {12.96}^{x} [/tex]
d.
[tex]f(x) = {51.84}^{x} [/tex]
Answer:
The correct result would be f(x) = 4(3.24)x.
Step-by-step explanation:
PLEASE PROVIDE A PICTURE graph the solution to this system of inequalities in this coordinate plane. 3у > 2х + 12
2x +y < -5
Answer:
The double shaded region
What is the value of 6(9+2)/h when g = 6 and h = 4?
Answer: 12
Plug 6 and 4 into the problem-
6(6 + 2)/4
6(8)/4
48/4 = 12
Hey there!
6(g + 2) / h
= 6(6 + 2) / 4
= 6(8) / 4
= 8(6) / 4
= 8 + 8 + 8 + 8 + 8 + 8 / 4
= 16 + 16 + 16 / 4
= 32 + 16 / 4
= 48 / 4
= 48 ÷ 4 / 4 ÷ 4
= 12 / 1
= 12 ÷ 1
= 12
Therefore, your answer is: 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the value of x?
x= 12
x = 14
x = 22
x = 24
The answer is x = 12
BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
Answer:
plus ten points huh i only see five
Step-by-step explanation:
Answer:
|-x| + 3
Step-by-step explanation:
I say that because -x will be turned into positive x and then add the 3, and you will get the answer.
Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF¯¯¯¯¯?
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEA and ∠CFA are Supplementary Angles (Def. of ⊥)
5. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEC and ∠CFB are Supplementary Angles (Def. of ⊥)
5. AC¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEA=m∠CFA=90∘ (Def. of ⊥)
5. ∠BEA≅∠CFA (Rt. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEC=m∠CFB=90∘ (Def. of ⊥)
5. ∠BEC≅∠CFB (Rt. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
The correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Recall the following:
An isosceles triangles has two sides that are congruent and a base.AAS Congruence Theorem proves that two triangles are congruent if they possess two pairs of congruent sides and a pair of non-included congruent sides.All corresponding parts of two congruent triangles are equal in measure to each other, based on the CPCTC Theorem.The isosceles triangle ABC given is shown in the image attached below.
To prove that, BE ≅ CF, establish the fact that △ABE ≅ △ACF by the AAS Congruence Theorem.
Since △ABE ≅ △ACF, therefore BE ≅ CF by the CPCTC Theorem.
Thus, the correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Learn more about AAS Congruence Theorem on:
https://brainly.com/question/3168048
State the reason for statement #5.
PLEASE ANSWER FAST
1. Given
2. Given
3. Alternate Interior Angles
4. Reflexive Property
5. SAS
Hope this helps!! :)
Find the solution of the system of equations.
2.x + 4y = -14
– 2y = 9
Answer:
x = 4, y = -9/2 (-4.5)
Step-by-step explanation:
Using the second equation, we can divide both sides by -2 and get
y = 9/-2
y = -9/2
Then, we plug this y value into the first equation and get:
x + 4(-9/2) = -14
Simplify:
x - 18 = -14
x = 4
Convert the mixed numbers to improper fractions:1. 5 6/72. 8 3/9
Can someone help me with number 8?
Rate of change = change in distance ÷ change in time
= (3126 ft - 1735 ft) ÷ (120 s - 45 s)
= 1391 ft ÷ 75 s
≈ 18.55 ft/s
∴ the rate of change is 18.55 ft/s.the cost of a new laptop is $750 which genorates a sales tax of$37.50 what is the sales tax rate
Answer:
5%
Step-by-step explanation:
To find the sales tax rate, you would divide the tax by the cost to see the percentage of the tax.
$750 / $37.50= 0.05
The answer is 5%
Hope this helps
Solve for x. PLEASE GIVE EXPLAINED WORK FOR IT
Answer:
x = 9
Step-by-step explanation:
7x - 25 = 4x + 2 (vertical angles)
7x - 4x = 2 + 25
3x = 27
x = 27/3
x = 9
4(9) + 2 = 38 degrees
Convert 62 miles to hour to feet to second
62 Miles per Hour =
90.933333 Feet per Second
(rounded to 8 digits)
passes through (1,4) and is parallel to the line y=2x-3
Answer:
y = 2x + 2
Step-by-step explanation:
Slope = 2
y-intercept: 4 - (2)(1) = 2
What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7
Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
Answer:
-3
Step-by-step explanation: i got it right on my test
the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. an oblique pyramid has a square base with an edge length of 5 centimeters. the height of the pyramid is 7 centimeters. what is the volume of the pyramid? 11two-thirds cm3 43three-fourths cm3 58one-third cm3 87one-half cm3
The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³
Volume of a pyramidThe volume of a pyramid is decribe as follows:
volume of a pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore,
B = 5² = 25 cm²
volume of the pyramid = 1 / 3 × 25 × 7
volume of the pyramid = 175 / 3
volume of the pyramid = 58.3333333333
volume of the pyramid = 58. 33 cm³
learn more on pyramid here:https://brainly.com/question/3399922
Answer:
C. 58 1/3 cm^3
Step-by-step explanation:
If AM = x + 8 and MB= 6x – 2, find MB.
Answer:
10
Step-by-step explanation:
Firstly, AM=x+8
or, A=x+8-M......eqn (i)
MB=6x-2
or, B=6x-2-M......eqn (ii)
Now,
from eqn (i) and (ii)
x+8-M=6x-2-M
or, 8+2=6x-x-M+M
or, 10=5x
or, 10÷5=x
therefore, x=2
Again,
MB=6x-2
=6×2-2
=12-2
=10
is it correct
please mark me as BRAINLIEST
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Need help please"....."
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
You are selling tickets to your school musical. Student tickets cost $2 and general admission tickets are $3. You sell 17 tickets and collect $42 how many of each type of ticket did you sell?
Answer:
9 student tickets and 8 general admission ticketsStep-by-step explanation:
Let the number of student tickets is s and general admission tickets - g.
Set equations and solve:
s + g = 172s + 3g = 42Double the first equation and subtract from the second to eliminate s:
2s + 3g - 2s - 2g = 42 - 2*17g = 8Find s:
s = 17 - 8 = 9Let the student tickerts and general tickets be x and y respectively
x+y=17=>x=17-y2x+3y=42--(2)From (1) put in (2)
2(17-y)+3y=4234+y=42y=8And
x=17-8=9helpppppppppppppppppppppppppppppppppppppppppppppppppp plessssssssssss
screenshot
Answer:
2.511 square kilometers
pls helpppppppppppppppppp meeeeeee marking BRAINLIEST!
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
Ig1000+log342........
Answer:
5.53
Step-by-step explanation:
We know that lg 1000=3.
And using the calculator, we know that lg 342=2.53
Please help with this math problem ASAP!! I will mark brainliest! :)
Answer:
y=4 x=6
Step-by-step explanation:
you said asap do i dont have time to explain
PLEASE HELP IT’S DUE TMR
Answer:
a = 5/3 (1 1/3)
b = 16/3 (5 1/3)
c = 42/5 (8 2/5)
d = 20/9 (2 2/9)
Step-by-step explanation:
Can I have brainliest pls?
Your mother bought 2 kilograms of chicken and 3 kilograms of pork to consume in week. How many kilograms of chicken and pork did your family consume in a month?
Answer:
20?.... seems right to me.
Step-by-step explanation:
9514 1404 393
Answer:
20 kg
Step-by-step explanation:
The mass of the chicken and pork for 1 week is (2 kg) +(3 kg) = 5 kg.
Normally, we think of a month as 4 weeks.
(4 wk)(5 kg/wk) = 20 kg
If pork and chicken are consumed at the same rate for 4 weeks, the family will consume 20 kg of pork and chicken.
_____
If we consider a year to be 52 weeks (it is actually 1 or 2 days longer), then the number of weeks in an average month is ...
52/12 = 4 1/3 weeks/month
Multiplying that value by 5 kg/week will give 21 2/3 kg per month.
__
The answer depends on the assumption you make about weeks in a month.
On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?
A. 13.5 feet
B. 6.5 feet
C. 1.5 feet
D. 4.5 feet
Answer:
13.5
Step-by-step explanation:
4.5*3=13.5
Please help!!
9.(05.02)
Solve the following system of equations: (5 points)
x - 2y = 5
2x - 4y = 10
Infinitely many solutions
No solutions
(0, 0)
(5, 10)
Answer:
Infinite solutions
Step-by-step explanation:
If you look at the equation, you will see that if you multiply everything by two (On the 1st equation), you get the 2nd equation. This means that the lines are the same, so infinite solutions.
Step-by-step explanation:
infinitely many solutions :)
Which of the following statements must be true based on the diagram below.please help
Answer:
A: ST is a segment bisector
Step-by-step explanation:
ST is a segment bisector. Point S cuts in between segment QP. While Point T cuts between segment PO.