Answer:
If r(x) = -x+1
then,
r(0) = -(0) + 1
=1
"The perimeter of a triangle is 294cm. The sides are x + 2, 2x + 3, and 3x + 1. Find the length of each side of the triangle."
Answer:
50cm, 99cm, 145cm
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides.
So
(x+2) + (2x + 3) + (3x + 1) = 294
Combine like terms
6x + 6 = 294
Subtract 6 on both sides
6x = 288
Divide 6 on both sides
x = 48
So the sides are
x + 2 = 48 + 2 = 50 cm
2x + 3 = 2(48) + 3 = 96 + 3 = 99 cm
3x + 1 = 3(48) + 1 = 145 cm
Checking, first:
50 + 99 + 145 = 194 cm
Plug in x = 48 to the original equation.
48 + 2 + 2(48) + 3 + 3(48) + 1 = 294
48 + 2 + 96 + 3 + 144 + 1 = 294
294 = 294
The lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The sides of triangle are x + 2, 2x + 3, and 3x + 1.
Given that the perimeter of a triangle is 294 cm
Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.
So the perimeter of a triangle = sum of all sides
⇒ x + 2 + 2x + 3 + 3x + 1 = 294
⇒ 6x = 294 - 6
⇒ x = 288/6
⇒ x = 48
So the length of the first side = 2+48 = 50
So the length of the second side = 2(48 ) +3 = 99
So the length of the second side = 3(48) + 1 = 125
Thus, the lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
Learn more about the perimeter of a triangle here:
brainly.com/question/24388271
#SPJ2
What is the value of the expression when n = 3?
6 (n² + 2)
n
16
22
30
66
Answer: Fourth Choice. 66
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
n = 3
Given expression
6 (n² + 2)
Substitute values into the expression
=6 (3² + 2)
Simplify exponents
=6 (9 + 2)
Simplify values in the parentheses
=6 (11)
Simplify by multiplication
=[tex]\boxed{66}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 6(n^2+2) = 6(3^2+2)=66[/tex]
Pls help!!! I need to do this now!!!!
Answer:
to do this just plote the numbers in replacement of the x. I attached a co table below.
Step-by-step explanation:
number of set values of (p,q), which satisfy relation p^2 = 2q^2 ( where p and q are natural numbers )
options:
(A) 1
(B) 0
(C) 2
(D) 3
(B) 0
We have
[tex]p^2 = 2q^2 \implies \dfrac{p^2}{q^2} = \left(\dfrac pq\right)^2 = 2[/tex]
but 2 is not a square number.
Four coins are tossed. What is the probability of at least one tail?
Step-by-step explanation:
I can't understand it so plz don't mind or else I will mind
Answer:
93.75%
This type of problem you have to REVERSE the question...
"at least one tail" is all possibilities EXCEPT "all heads"...
so your answer is 100% - P(4 heads)
P(4 heads) = (1/2)^4 = .0625
1 - .0625 = .9375
Step-by-step explanation:
If 8.51÷2.3=3.7, find the value of 85.1÷ 2.3
Answer:
37
Step-by-step explanation:
85.1÷ 2.3
=> 85.1/2.3 [Removing the decimals]
=> 851/23
=> 37
please answer this question
Answer:
The answer is 0.15372
Step-by-step explanation:
Subtract.
Your answer should be a polynomial in standard form.
(3x^3 + 4x²) - (2x^3+ 3x^2– x) =
Answer:
x³ + x² + x
Step-by-step explanation:
(3x³ + 4x²) - (2x³ + 3x² - x) ← distribute parenthesis
= 3x³ + 4x² - 2x³ - 3x² + x ← collect like terms
= x³ + x² + x
Which statements are true about the rules of division?
Answer:
where is the list at?
Step-by-step explanation:
Translate the sentence into an inequality. A number b increased by 5 is at most – 24.
Answer:
b+5≤-24. Hope this helps:)
Step-by-step explanation:
factor. x^2 - 11x + 30 delta math
Answer:
(x-5)(x-6)
Step-by-step explanation:
-6-5=-11
-6 times -5=30
so...
(x-5)(x-6) and -5 and -6 are the factors.
Im pretty desprate! HELP ASAP!!!
Step-by-step explanation:
help will give brainliest
Answer:
2
Step-by-step explanation:
The slope is 2
{y = kx + m, k is the slope}
please help I don't know how to do this
Formula: 4s
S = 7
Answer:
28
Step-by-step explanation:
Given formula:
4s
It is given that the variable, s, is equal to 7. Therefore, plug in 7 for s in the expression:
4s
4(7)
Next, multiply straight across:
4 * 7 = 28
28 is your answer.
~
Answer:
answer is 28
Step-by-step explanation:
it is simple put the value of S in formula and then solve
Simplify: 61 –60 ÷ 2 [57 –3{12 ÷ 6 + 4 (8 –15 ÷ 3)}]
Answer:
I guess answer is 86. ...........
please help!!!!!!!!!! 25 points
Answer: 3.3 × 10⁹
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁴) × (1.1 × 10⁵)
Put like terms together
=3 × 1.1 × 10⁴ × 10⁵
Combine like terms
=3.3 × 10⁴⁺⁵
=[tex]\boxed{3.3*10^9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
3.3×10^9
Step-by-step explanation:
help plss!! Directions: Translate into mathematical expressions. Example: The sum of three times a number and 10- (3n + 10)
pleasee do all of these problems now!! and i will mark u branliest if u get at least 4 of em right:)
1. Twelve less than z
2. Twice take the sum of x and y
3. Six less than four times a number
4. Twice the sum of v and 5
6. The average of test scores x and y
7. The cost of m kilograms of meat at $3.95 a kilogram
Please help me with this problem
[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]
Answer:
Lies between 3&4
See THE IMAGE FOR SOLUTION
7n + 12 = 3n+ 8n
That’s the problem
Answer:
n = 3
Step-by-step explanation:
to find the value of n
we need to transpose
7n + 12 = 3n+ 8n
7n + 12 = 11n
12 = 11n -7n
12 = 4n
n = 12/4
n = 3
if ur trying to find the value of n then n=3
The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.
Answer:
400cm²
Step-by-step explanation:
the surface area of the sphere =
4/3 x The total surface area of a hemisphere
=> 4/3 x 300 = 400cm²
If measure of angle B is two more than three times the measure of Angle C, and Measure B and c are
complementary angles, find each angle measure
evaluate each expression and round your answers to the nearest thousandth do not round any intermediate computations
Step-by-step explanation:
1. 1.45^(-0.7) = 0.771
2. (4/3)^(2.7) = 2.174
1:-
[tex]\\ \sf\longmapsto 1.45^{-0.7}[/tex]
[tex]\\ \sf\longmapsto 1.45^{-\frac{7}{10}}[/tex]
[tex]\\ \sf\longmapsto 0.771[/tex]
2:-
[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{2.7}[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{\frac{27}{10}}[/tex]
[tex]\\ \sf\longmapsto 2.174[/tex]
Simplify.
18 2+6(4+1) -2
Answer:
[tex]1)18 \times 2 + 6(4 + 1) - 2 \\ = 36 + 6 \times 5 - 2 \\ = 36 + 30 - 2 \\ 36 + 28 \\ = 64 \\ \\ thank \: you[/tex]
Answer:
18×2+6(4+1)-2
= 36+6×5-2
= 36+30-2
= 66-2
=64
Shelly charges$10 per hour for her babysitting services. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n= 12, evualte your expression using distributive property.
Answer:
10n+(10 x 15)
or
(10 x n)+150
either way it would be 270
Write a proof. Given x = 2 = 3 (x - 4) Prove x = 5
Step-by-step explanation:
The equation in the question is false.
[tex]x - 2 = 3(x - 4)[/tex]
[tex]x - 2 = 3x - 12[/tex]
[tex]3x - x = 12 - 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 10 \div 2[/tex]
[tex]x = 5[/tex]
1. Reflection across the x-axis.
R(-2,2) ► R’
J(-1,4) ► J'
G(3,4) ► G’
reflection in the x axis
x,y=x-y
-2,2
2,-2
-1,4
1,-4
3,4
3,-4
Carla bought a crate of red and
green apples for her bakery. The
crate had 140 red apples, which
were 70% of the apples in the
crate. How many apples were in
the crate?
Step-by-step explanation:
140/70=2 Therefore, 1 apple equals 2 percent
The remaining 30 percent times 2 equals 60
60 apples plus 140 apples equals 200 apples
Answer B
Answer:
200.
Step-by-step explanation:
70% is equivalent to 140
10 % .............................. 140/7 = 20 apples
100% ................................. 10*20 = 200.
i need help with the top part
Answer:
1. (1, 2)
2. (-5, 7)
3. (-6, -5)
4. (0, -3)
Step-by-step explanation:
(1 - 4) Explanation:
If we're asked to move to the right, make the x-coordinate a positive number.
If we're asked to move to the left, make the x-coordinate a negative number.
If we're asked to move upwards, make the y-coordinate a positive number.
If we're asked to move downwards, make the y-coordinate a negative number.
The sum of the areas of two squares is 818 cm2.
The sum of the perimeters is 160cm.
Find the lengths of the sides of the squares.
Answer: 17 and 23 (cm)
Step-by-step explanation:
Let c1 and c2 the side of thr squares.
[tex]\left\{\begin{array}{ccc}4*c_1+4*c_2&=&160\\c_1^2+c_2^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+(40-c_1)^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+-40c_1+391&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1&=&23\\c_2&=&17\\\end{array}\right.\ or\ \left\{\begin{array}{ccc}c_1&=&17\\c_2&=&23\\\end{array}\right.\\[/tex]
write an inequality that represents the graph
Answer:
x is less than or equal to 4. Not sure how you would type that out on the slide though. :\
Step-by-step explanation: