Step-by-step explanation:
m∠3 = 7x - 10
m∠6 = 5x + 10
m∠3 = m∠6
7x - 10 = 5x + 10
7x - 5x = 10 + 10
2x = 20
x = 20/2 = 10°
4. Which of the following equation represent quadratic?
A. The cost of each pen is Php 8.50. How many pens can be bought by Php 850?
B. The length of a field is 2 m more than twice its width and its area is 24 m2.
C. The length of the rectangular room is 3 more than the width and its area is at least 56m2.
D. The length of a wall is 8 m more than its width. If the area of the wall is less than 40 m2.
5. What are the dimensions of the largest rectangular field that can be enclosed with 100 m of wire?
A. 24 m x 26 m
B. 25 m x 25 m
C. 50 m x 50 m
D. 50 m x 25 m
Answer:
Step-by-step explanation:
4) B , C and D represents the quadratic equation.
B) width = w
length = l = 2w + 2
Area = 24 square m
l *w = 24
(2w + 2)*w = 24
2w*w + 2w = 24
2w² + 2w - 24 = 0
Divide the entire equation by 2
w² + w - 12 = 0
C) width = w
Length = w + 3
Area = 40 m²
(w + 3 ) *w = 56
w*w + 3*w = 56
w² + 3w - 56 = 0
D) Width = w
Length = w + 8
Area = 40
(w + 8)*w = 40
w² - 8w - 40 = 0
5) B) 25 * 25
25 *25 gives the largest area that has its perimeter 100
-8 = x divided by 4 + 3
Answer:
x = -44
Step-by-step explanation:
-8 = x/4 + 3
-8 - 3 = x/4 + 3 - 3
-11 = x/4
-11 x 4 = (x/4) x 4
-44 = x
If Mt. Everest was 29,035 ft above sea level in 1999 and has been growing 2.4 inches each year, how tall do you think it should be today?
Step-by-step explanation:
you basically have to multiply 29,035 by 2021 i think
ans=58,679,735
Step-by-step explanation:
29,035 ft in 1999.
today is 2021. the difference is 22 years.
the growth rate is 2.4 inches per year.
so, in 22 years it grew 2.4×22 = 52.8 in
1 ft = 12 in
52.8 in = 4 ft 4.8 in = 52.8/12 ft = 4.4 ft
so, it should be now 29,039.4 ft above sea level.
Can anyone help me ASAP!
write an expression in simpilest form (4x-1) (3x+2) (3x+2) (3x+2) (4x-1)
Answer:
The expression simplified is as follows:
[tex](4x-1)^{2}[/tex] · [tex](3x+2)^{3}[/tex]
Hope this helps and have a nice day!
[tex]-2\leq 3x+1[/tex]
Answer:
[tex]x\geq -1[/tex]
Step-by-step explanation:
the angles of a triangle are in the ratio of 7:6:2. find the measure of each angle.
A. 84, 72, 24.
B. 56, 48, 16.
C. 90, 80, 10,
D. 42, 36, 12
Answer:
A. 84, 72, 24
Step-by-step explanation:
Let the angles be - 7x 6x and 2x
7x + 6x + 2x = 180° (angle sum property)
15x = 180°
x = 180° ÷ 15 = 12
Therefore, the angles are : 7x = 7 × 12 = 84
6x = 6 × 12 = 72
2x = 2 × 12 = 24
Hope it helps:)
(7x4 – 18x3 + 10x2
18x3 + 10x² – 11x + 10) = (x - 2)
Answer:
6789.....8790654655578
Please help meee~
I would really appreciate it!
Answer:
x = 9
Step-by-step explanation:
Find common denominator
[tex]\frac{d}{3} +\frac{3*9.9}{12.9}[/tex]
Combine fractions with common denominator
[tex]\frac{d+3*9.9}{3} =12.9[/tex]
Multiply the numbers
[tex]\frac{d+29.7}{3} =12.9[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]3(\frac{x+29.7}{3} )=3 * 12.9[/tex]
Cancel multiplied terms that are in the denominator
x=29.7= 3 · 12.9
Multiply the number
x= 12.9=38.9
Subtract 297 from both sides of the equation
x+29.7-29.7=38.9-29.7
Simplify
x = 9.0
Hence, the answer is 9.
I need the slope of this graph
Answer:
3/2
Step-by-step explanation:
Pick two points on the graph
(-1,2) and (3,8)
We can use the slope formula
m= ( y2-y1)/(x2-x1)
= ( 8-2)/(3 - -1)
= (8-2)/(3+1)
= 6/4
= 3/2
Write the slope intercept form of the equation of the line perpendicular to the graph of 4x-y=12 that passes through (8,2)
Answer:
y= -1/4x + 4
Step-by-step explanation:
4x-y = 12
4x - 12 = y
Slope = 4
Slope of the perpendicular line: -1/4
Point (8,2)
y-intercept: 2 - (-1/4)(8) = 2 + 2 = 4
Put the given function into vertex form. Fill in the blanks to complete the function below.
Function: f(x)=x2−6x+13
Vertex Form: f(x) = (x
)2
f(x) = 2x2 + 4x – 5
g(x) = 623 – 2x2 + 3
Find (f – g)(x).
A. (f - g)(x) = –6x3 + 4x2 + 4x – 2
O B. (f – g)(x) = -63+ 4x2 + 4x – 8
c. (f - g)(x) = 63
4x2
42 + 8
D. F -
*) = 6x3 + 4x – 2
Step-by-step explanation:
f(x) = 2x² + 4x - 5
g(x) = 6x³ - 2x² + 3
(f-g)(x) = f(x) - g(x)
= (2x² + 4x - 5) - (6x³ - 2x² + 3)
= -6x³ + (2 + 2)x² + 4x + (-5 - 3)
= -6x³ + 4x² + 4x - 8
Option → B
I am in desperate need of the answer to this:
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first. Find the measure of the third angle
Answer:
120°
Step-by-step explanation:
The sum of all angle measurements for the interior of the angle is 180°.
Let the first angle measurement be denoted as "x".
The second angle measurement is twice that of the first, or "2x".
The third angle measurement is six times of that of the first, or "6x".
Set the equation:
x + 2x + 6x = 180
Simplify. Combine like terms. Like terms are terms with the same, as well as same amount of said variable:
(x + 2x + 6x) = 180
(9x) = 180
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 9 from both sides of the equation:
(9x)/9 = (180)/9
x = 180/9 = 20
x = 20
Next, plug in 20 for x for the third measurement:
6x = 6 * (20) = 120°
120° is your answer.
~
For each point, identify the axis or quadrant where the point is located.
Drag and drop the choices into the boxes to complete the table.
x-axis y-axis Quadrant I Quadrant II Quadrant III Quadrant IV
Answer:
5,0 gose in the x axis and the 0,6 goes in the y axis and then the -1, 10 goes in q1 and then 5,-2 goes in q2 then 8.7,2.3 goes in q3 then -1/4,-6 1/2 goes in qlv
Step-by-step explanation:
i hope this helps
Answer:
x-axis: (5,0)
y-axis: (0,6)
Quadrant I: (8.7,2.3)
Quadrant II: (-1,10)
Quadrant III: (- 1/4, -6 1/2)
Quadrant IV: (5,-2)
f(x)=8x+5
f(x)=21
find x
Answer:
[tex]f(x) = 8 x + 5...(1) \\ f(x) = 21...(2) \\ (1) = (2) \\ 8x + 5 = 21 \\ 8x = 21 - 5 \\ 8x = 16 \\ x = \frac{16}{8} = 2 \\ x = 2 \\ thank \: you[/tex]
Answer:
[tex]f(x) = 8x + 5 \\ f(x) = 21 \\ 8x + 5 = 21 \\ 8x = 21 - 5 \\ 8x = 16 \\ x =\frac{16}{8} \\ \boxed{x = 2}[/tex]
x = 2 is the right answer.Assume that a researcher randomly selects 14 newborn babies and counts the number of
girls, x. The probabilities corresponding to the 14 possible values of x are summarized in
the given table. Answer the questions using the table. Find the combined probability of selecting 5, 6, 7, 8, or 9 girls.
Answer:
0.819
Step-by-step explanation:
0.122+0.183+0.209+0.183+0.122=
please explain your answer and dont give me any websites thanks
Answer:
1001 y
Step-by-step explanation:
Answer:
y=125º
Step-by-step explanation:
135+x=180 180-135=x 45=x
180-100=80
80+45+x=180 100=x+45 55=x
interior angles are 45,80,55
180=y+55
125=y
The manager of animal shelter is hoping to raise more than $11,000 for required repairs to the building. The city has agreed to donate $3,500. The manager is going to conduct an e-mail campaign asking individual donors for $25 each.
Which statements are TRUE regarding this situation? Select all that apply.
A. The number of donors, d, can be represented as 25d + 3, 500 > 11, 000 .
B. The number of donors, d, can be represented as 25d > 14, 500 .
C. The number of donors, d, can be represented as d > 300 .
D. The number of donors, d, must be no more than 300.
E. The number of donors, d, must be more than 300.
hola follow my yeabdagod
Answer:
Hola
Step-by-step explanation:
Answer:
thx sa pointsStep-by-step explanation:
have a great day
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Slope = 2, y-Intercept = -4
The slope of the line is 1 and the y intercept is 2.
The linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept
Let n represent the number of inches a plant grows after m months.
Taking two points (0, 2) and (6, 8), the equation is given by:
[tex]n-n_1=\frac{n_2-n_1}{m_2-m_!} (m-m_1)\\\\n-2=\frac{8-2}{6-0}(m-0) \\\\n=m+2[/tex]
Therefore the slope of the line is 1 and the y intercept is 2.
Find out more at: https://brainly.com/question/13911928
Order these numbers from least to greatest!
14, |25|, -16, |-2|
Answer:
-16, [-2], 14, [25]
Step-by-step explanation:
I know the absolute value brackets aren't the same! I couldn't find the straight line on this keyboard! But that would be the order!
area of a trapezoid
Answer:
the formula finding area in a trapezoid is A=a+b
2h.
Step-by-step explanation:
Find the distance between (4, 8) and (7,4)
Answer: distance is 5
Step-by-step explanation:
d=√(7−4)2+(4−8)2
d=√(3)2+(−4)2
d=√9+16
d=√25
d=5
how do I solve this QUESTION
Step-by-step explanation:
just click on the right statement (-_-)
determine whether it is a solution to the Inequality 9x-5y<15.
Answer:
there is no solution
Step-by-step explanation:
10.
Which equation is represented by the graph?
A. y = x^2 − 1
B. y = 2x^2 − 1
C. y= 1/2x^2 + 1
D. y = 2x^2 + 1
Answer:
A. y = x^2 − 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
7
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
9
8
x
y
−
2
7
−
1
1
0
−
1
1
1
2
7
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
3
2
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
2
x
y
−
2
3
−
1
3
2
0
1
1
3
2
2
3
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
9
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
7
8
x
y
−
2
9
−
1
3
0
1
1
3
2
9
5/6 +1 1/3 + 1/2 please help
Answer:
2 2/3
Step-by-step explanation:
A game lasts 5/8 hours. Jane played 4 of these games.
For how long did she play in total?
Answer: 2 hours 30 minutes in total.
Step-by-step explanation: Because when it says that a game lasts for 5/8 hours and Jane only play 4 of these games, Which means that you have to multiply the number of hours lasted by the total number of games that have been played. Therfore 5/8 x 4 = 20/8 but you simplify your answer and you will get 2 hours and 30 minutes in total.
Can you please help me
Solve for x
Answer:
x = 11°
Step-by-step explanation:
Because of Alternate Exterior Angles, 5x - 12 = 43. Now, let's solve.
=> 5x - 12 = 43
=> 5x = 55
=> x = 11°
Hoped this helped.
Answer:
x = 11
Step-by-step explanation:
Alternate exterior angles are congruent where a transversal crosses parallel lines. That means ...
(5x -12)° = 43°
5x = 55 . . . . . . . divide by °, add 12
x = 11 . . . . . . . . . divide by 5
