Hi there!
[tex]\large\boxed{\text{Gradient = -1}}[/tex]
We can find the slope using the slope formula:
Slope = (y2-y1)/(x2-x1)
Plug in the given coordinates:
Slope = (1 - 5)/(7 - 3)
Simplify:
Slope = -4/4
Slope = -1
State the mathematical properties of all the steps in the equation below.
(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution
Answer:
173*3*j3
Step-by-step explanation:
naksbvajahagcgaja
Answer:
HIHHIHIHIHIHIHIHIH
Step-by-step explanation:
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The measures of the angles of a triangle are shown in the figure below. Solve X.
Answer:
x = 106º
Step-by-step explanation:
There are 180º in every triangle
x = 180 - 32 - 42
x = 106º
Answer:
x= 106 degree
Step-by-step explanation:
x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)
x + 74 = 180
x = 180 - 74
x = 106 degree
Tyrone is converting StartFraction 45 Over 50 EndFraction to a percent. Which method should he use to find the percent?
Answer:
Multiply the numerator and the denominator of the fraction by 2.
Step-by-step explanation:
Here are the options :
Divide the numerator and denominator of the fraction by 2.
Subtract 40 from the numerator and denominator of the fraction.
Multiply the numerator and the denominator of the fraction by 2.
Add 50 to the numerator and denominator of the fraction.
(45 x 2) / (50 x 2) = 90/100
Multiply 90/100 by 100 = 90%
the same answer would be gotten if 45/50 is multiplied by 100
45/50 x 100 = 90%
PLEASE HELP ME PLS!!!!!!!!!
find the measure of the missing angles.
Step-by-step explanation:
a is the answer to this question
Answer:
d=90 e=27 f=153
Step-by-step explanation:
The angle adjacent to d is 90 degrees. They both add up to 90. 180-90=190. D=90.
E is a vertical angle, congruent to 27.
E=27.
F is a linear pair with 27, which means it's supplementary (adds to 180). 180-27=153.
F=153.
A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?
Answer:
25 red marbles
solving system by substitution
Answer:
The solution of this system is (9, 2).
Step-by-step explanation:
Substitute x - 7 for 'y' in the first equation. We get:
x - 3(x - 7) = 3 Doing this temporarily eliminates the variable 'y'.
Now perform the indicated multiplication, and then combine like terms:
x - 3x + 21 = 3, or
-2x = -18
so that x = 9. Substituting 9 for x in the second equation, we get:
y = 9 - 7, or y = 2.
The solution of this system is (9, 2).
Find the volume of the pyramid. The base is an isosceles triangle with a base of 7/3 meters and height of 15/2 meters. The height of pyramid is 24/5 meters
Volume of pyramid =
V=224/25 m3
V=1344/25 m3
V=14 m3
Answer:
14 m³
Step-by-step explanation:
the volume of pyramid = ⅓× base area × height
= ⅓ × (½×7/3 × 15/2) × 24/5
= (7×15×24)/(3×2×3×2×5)
= 2520/180
= 14 m³
Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest. Please help
Answer:
A) $24
Step-by-step explanation:
Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.
y = 3(8) = 24
Therefore, the cost of 8 gallons of gasoline would be $24.
ANSWER PLEASE!!!!!!!!!!!!!
Answer:
It would be a negative linear association if not then nonlinear association.
Step-by-step explanation:
What is the area of the irregular polygon shown below?
Answer:
86 sq units
Step-by-step explanation:
it is the because:
18*4=72
3.5*4/2=7
7+7+72=86 sq units
hey there, please help me. thank you
Answer:
S.S.S
Step-by-step explanation:
When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .
hope it is helpful to you
Find the 7th term in the
sequence
,
32
1, 3, 9,...
Hint: Write a formula to help you.
1st term • Common Ratio desired term – 1)
Enter
Answer:
243
Step-by-step explanation:
formula is
Un = ar^n-1
U7 = ar^7-1
U7 =ar^6
U7 =1/3 ×3^6
where a=1/3 and r= 3
U=243
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
It took six people four days to build a wall.
a) Working at the same rate, how long would it have taken eight people to build the wall?
b) Working at the same rate, how many people would have been needed if the wall had
to be completed in two days?
Answer:
a=5 days, 3 hours
b= 3 people
the price of a ring was increased by 30% to £325 what was the price before the increase
The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?
Answer: 105
Step-by-step explanation:
Given
The ratio of men to women working for a company is 4:7
There are total of 165 employees
Suppose, there is 4x men and 7x women such that the ratio remains constant
[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]
[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]
Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3
Answer:
B. 5070π in³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 13 in
h = 30 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)Evaluate exponents: V = π(169 in²)(30 in)Multiply: V = 5070π in³Answer:
[tex]\large\fbox{B. 5070 π inches³}[/tex]
Step-by-step explanation:
We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-The Volume of cylinder
Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinderh is the height of cylinderSolution :-Using Formula
➛Volume of cylinder = π × r ² × h
substitute the values into the formula
➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.
Evaluate exponent
➛ Volume of cylinder = π × 169 inches ² × 30 inches.
multiply, we get
➛ Volume of cylinder = 5070 π inches ³.
Therefore, option B which is 5070 π inches³ is the correct ☑ answer.
someone help please, giving brainlist to anyone who answers <3
Answer:
65 seats
Step-by-step explanation:
1. Approach
To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).
2.Find the rate at which seats are added
One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,
(3, 31), (6, 37)
Where (x) is the row number and (y) is the number of seats.
To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute in the given information and solve for the rate of change,
[tex]\frac{37-31}{6-3}[/tex]
Simplify,
[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]
Seats are added at a rate of (2) seats per row.
3. Find the equation
The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,
[tex]y=mx+b[/tex]
Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,
[tex]y=2x+b[/tex]
One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,
[tex](31)=2(3)+b[/tex]
Simplify,
[tex]31 = 6+b[/tex]
Inverse operations,
[tex]31=6+b\\25=b[/tex]
Substitute this into the equation to complete the equation,
[tex]y=2x+25[/tex]
4.Find how many seats are in the row (20)
Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.
[tex]y=2x+25[/tex]
[tex]y=2(20)+25[/tex]
Simplify,
[tex]y=2(20)+25\\y=40+25\\y=65[/tex]
Me pueden ayudar con estos ejercicios porfa.
Step-by-step explanation:
a. 3x²+10x+8 = (3x+4)(x+2)
b. 4x²+21x-18 = (4x-3)(x+6)
c. 3x²+8x+5 = (3x+5)(x+1)
d. 6x²+5x-4 = (2x-1)(3x+4)
e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)
f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)
g. 6x²-7x-3 = (2x-3)(3x +1)
h. 6x²-43x+72 = (3x-8)(2x-9)
Complete the angle addition postulate for the following angle
Given:
A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].
To find:
The missing value for the given equation by using the angle addition postulate.
Solution:
A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].
Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].
[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]
Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].
I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(
Answer:
x = 4
Step-by-step explanation:
6(6 + x) = 5(5 + x + 3) => secant secant theorem
36 + 6x = 5(8 + x)
36 + 6x = 40 + 5x
Subtract 36 from each side
36 + 6x - 36 = 40 + 5x - 36
6x = 4 + 5x
Subtract 5x from each side
6x - 5x = 4 + 5x - 5x
x = 4
If θ is an angle in standard position and its terminal side passes through the point (6,1), find the exact value of
sec
θ
secθ in simplest radical form.
Given:
θ is an angle in standard position.
Its terminal side passes through the point (6,1).
To find:
The exact value of secθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]
It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]
Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].
If using the method of completing the square to solve the quadratic equation
x^2– 10x + 21 = 0, which number would have to be added to "complete the
square"?
Answer: 25
Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.
The question is, what is that number?
Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.
So half of -10 squared or -5 squared which is 25.
So 25 is added to both sides.
Please help thank you!
Answer:
10
Step-by-step explanation:
PLEASE HELP FINDING TRIANGLE ANGLE
Answer:
x = 146
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles
x = 48+98
x = 146
Answer:
The sum of all the angles in a triangle is 180 degrees,
We know the measures of two angles, 48 and 98
if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x
48+98=146
180-146 = 34
now, we have to do 180-34 to find the measure of x.
why? any straight line is 180 degrees.
180-34 = 146
x = 146
hope this is correct and it helps you.
URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5
Answer:
10
Step-by-step explanation:
3x + 5y
Let x= -5 and y =5
3(-5) + 5(5)
Multiply first
-15 +25
Then add
10
The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism.
Answer:
I don't see the triangular prism.
Step-by-step explanation:
here is the problem if you want to help them
Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.
Answer:
[tex]x=\frac{33}{7}[/tex]
Step-by-step explanation:
Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.
Therefore, we have:
[tex]\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}[/tex]
What is the area of the triangle shown below?
Answer:
12
Step-by-step explanation:
Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.
A = bh/2
A = 8 * 3/2
A = 12
