The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.
Answers
Answer:
A = ½ * base * height
A = ½ * x * (2x-3)
17.5 = ½ * (2x² - 3x)
35 = 2x² - 3x
0 = 2x² - 3x - 35
2x² - 3x - 35 = 0 .......... (the equation)
(2x + 7)(x - 5) = 0
2x + 7 = 0
2x = - 7
x = -7/2 = -3.5
x-5 = 0
x = 5
since we have two result of x, then we can choose the positive one x = 5
so the base is 5 m and the height is
h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m
Related Questions
Please help me with 2 more questions ill give good ratings please!
Answers
Answer:
3, - 6 )
Step-by-step explanation:
Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is
(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )
6. Describe the graph of the function.
y=5 • 2*
A The graph is an absolute value function with vertex (0,5).
B The graph is of exponential growth.
C The graph is of exponential decay.
D The graph is a parabola with vertex (0,5).
Answers
the correct answer is. It is an exponential equation, that is starting at 5 and increasing by a factor of 2.
Help me pleaseeee. Which equation represents the graphed function?
Answers
Answer:
D
Step-by-step explanation:
Evaluate 4 ÷ 5/6 Give your answer as a mixed number in its simplest form.
Answers
Answer:
4 ÷ 5/6
= 4 × 6/5
= 24/5
= 4 4/5
Hope this helps.
Part A: What is the value of 3x if 9x + 4 = 6x –11?
Part B: What is the value of 2x + 1 if 25 = 10x + 5?
Answers
Answer:
Part A: 3x = -15
Part B: 2x+1= 4+1 (x=2)
Step-by-step explanation:
can somebody explain an easier way to do it
Answers
Answer:
4 to 1
Step-by-step explanation:
For herself alone, she uses a ratio of
8 tablespoons of cocoa to 2 tablespoons of sugar
The ratio is
8 to 2
We divide both numbers by 2 to get the simplified ratio
4 to 1
For two, she doubles the recipe, so she uses the ratio
16 tablespoons of cocoa to 4 tablespoons of sugar
The ratio is
16 to 4
We divide both numbers by 4 to get the simplified ratio
4 to 1
What is the measurement of angle A to the nearest degree?
Answers
Answer:
A = 51 degrees
Step-by-step explanation:
We can use the law of sines
sin A sin 95
------------ = -----------
7 9
Using cross products
9 sin A = 7 sin 95
Divide each side by 9
sin A = 7/9 sin 95
Take the inverse of each side
sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)
A = 50.78854367
To the nearest degree
A = 51 degrees
radical expression of 4d 3/8
Answers
Answer:
[tex] \boxed{4 \sqrt[8]{ {d}^{3} } } [/tex]
Step-by-step explanation:
[tex] = > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} } [/tex]
Based on the following calculator output, determine the mean of the dataset,
rounding to the nearest 100th if necessary.
1-Var-Stats
ī = 106.142857143
Ex = 743
2.c2 = 79453
Sx = 9.90670768433
or = 9.17182909673
n = 7
min X = 98
Q = 98
Med = 100
Q3 = 116
maxX = 121
Answers
Answer:
106 1/7
Step-by-step explanation:
The line ...
ī = 106.142857143
tells you the mean of the dataset is 106 1/7.
What is the mean of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 16
Answers
Answer:
16
Step-by-step explanation:
You first add all the numbers together,then you divide by 7 to get the mean of it
Answer:
16
Step-by-step explanation:
17, 13, 18, 20, 17, 15, 12
To find the mean, add up all the values and divide by the number of terms
(17+ 13+ 18+ 20+ 17+ 15+ 12)/7
112/7
16
What is the measure of X ?
Answers
Answer:
38
Step-by-step explanation:
Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!
Answer: 38°
Step-by-step explanation:
180-88 = 92°
180-92-50= 38°
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)
Answers
Please answer this one please ???
Answers
Ones on -1 and the other is on 1
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answers
Answer: 40
Align in this pattern:
Bigger box : 24 : 15 : 10
smaller box: 6 : 3 : 5
counts: 4: 5 : 2
( multiply 4*5*2 = 40)
Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.
I
II
III
IV
Answers
Step-by-step explanation:
work is shown and pictured
how many different measurements are found in this diagram ¿
Answers
Which means that there are 2 different angle measurements 1,4,7 and 8 are equal then 2,3,5 and 6 are also equal
Which of the following is most likely the next step in the series Z3Y6X9W 12
Answers
Answer:
V
Step-by-step explanation:
This series is a letter, followed by a number where the letter is the previous letter in the alphabet and the number is increasing by 3
Answer:
12 V 15 U 18 T 21 S 24 R 27 Q
Step-by-step explanation:
Letters going backwards, numbers increasing by 3
Jordan was looking for a cheap cell phone plan.
Plan A charges $10 monthly fee plus $0.25 per text
Plan B charges $6 monthly fee plus $0.35 per text
If she wants the plan for 5 months and sends 100 texts which plan would be the cheapest? Explain
Answers
Answer: Plan B
Step-by-step explanation:
First you would find out how much they have to pay the monthly fee in 5 months. Plan A pays $50 in 5 months and Plan B pays $30 in 5 months
Then you find he amount of money that they need to pay for a hundred texts. Plan A spends $25 and Plan B spends $35 .
Then you add the numbers together and Plan A you would pay $75 and Plan B you would spend $65
The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend. A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68. Which statement describes the amounts the team charged for wrapping gifts? The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow. The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow. The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow. The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.
Answers
Answer:
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
Step-by-step explanation:
Gift-Wrapping Fundraiser
Plain Gifts Wrapped Decorative Gifts Wrapped Total Raised in dollars
10 9 47
25 12 86
16 12 68
Let's define:
x: $ charged per gift for Plain Gifts Wrapped
y: $ charged per gift for Decorative Gifts Wrapped
From 2nd 3rd row:
25x + 12y = 86
16x + 12y = 68
Subtracting them:
25x + 12y - (16x + 12y) = 86 - 68
9x = 18
x = 18/9 = 2
Replacing x = 2 into the first equation:
25(2) + 12y = 86
12y = 86 - 50
12y = 36
y = 36/12 = 3
Answer:
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
Step-by-step explanation:
B on edg
HELP!
Find the exact area and circumference of a circle whose diameter is 8 meters.
Show your work!!
Answers
Answers:
Area: 50.24m^2
Circumference: 25.12 m
please see the attached picture for full solution
hope it helps
good luck on your assignment
Please help me with 3 more questions ill give good ratings please!
Answers
Answer:
(- 5, - 25 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus 5
Answers
Answer:
y=3x+5
Step-by-step explanation:
y=y=y=x+x+x+5 is what I think you were saying. In that case:
y=x+x+x+5
y=3x+5
The equation of the line is y=3x+5
The equation of the given line is y = 2/3 x - 2
The standard form of the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
from the diagram attached, we can use the coordinate (0, -2) and (3, 0)
Get the slope
Slope "m" = 0-(-2)/3-0
m = 2/3
Since the line cuts the y-axis at y = -2, hence the y-intercept is b = -2
Substitute the given parameters into the equation:
y = mx + b
y = 2/3 x + (-2)
y = 2/3 x - 2
Hence the equation of the given line is y = 2/3 x - 2
Learn more here: https://brainly.com/question/17003809
The figure below is made of two identical triangular prisms. What is the volume of the figure?
Answers
Answer:
Please post the figure or image of the triangular prisms.
Step-by-step explanation:
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?
Answers
Answer:
36
Step-by-step explanation:
m^2 -2mn + n^2
Let m = -2 and n=4
(-2)^2 -2(-2)(4) + 4^2
4 +16 +16
36
Answer:
Step-by-step explanation:
m = -2 ; n =4
m² - 2mn + n² = (-2)² - 2*(-2)*4 + 4²
= 4 + 16 + 16
= 36
Hint: (-2)² = -2 * -2 = 4
Please answer need help
Answers
Answer:
-9,5 -> -9,1 -> -8,9 -> 8,7
If f(x) = 3x - 12, what is f(2)?
O A. -6
O'B. 6
O c. 18
O D. -18
Helppp mee plzzz
Answers
Answer:
f(2) = -6
Step-by-step explanation:
f(x) = 3x - 12
Let x =2
f(2) = 3*2 -12
= 6-12
= -6
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
Answers
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
Answer:
Step-by-step explanation:
j
The temperature falls from 0 degrees to -12.4 degrees in
13 1/2
hours. Which expression finds the change in temperature per
hour?
Answers
Answer:
Step-by-step explanation:
The temperature falls from 0 degrees to -12.4
0-(-12.4) = 12.4
12.4/13.4 degree per hours
0.9185 degrees/ hour
Which inequalities have the solution set graphed on the number line? Check all that apply.
x Greater-than-or-equal-to -1.5
x Less-than-or-equal-to -1.5
-1.5 Less-than-or-equal-to x
-1.5 Greater-than-or-equal-to x
x Less-than-or-equal-to -2.5
x Greater-than-or-equal-to -2.5
-2.5 Greater-than-or-equal-to x
PLZ HELP QUICKLY I DONT HAVE MUCH TIME WILL GIVE BRAINLIEST
Answers
Answer:
This graph represents x is less than or equal to -1.5
Step-by-step explanation:
When the graph faces the direction on the left that represents “less than”, similarly when the graph faces the right directions, that represents “greater than”.
Based on what is given, the graph is “less than”
Closed dot means “equal to”
open dot is just greater or less
Combine all of this and we can safely pick that this graph represents -1.5 less than or equal to 1.5
Answer:
ITS B AND D
CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP
Step-by-step explanation:
Q: A monomial usually has the form axn, where a is any number and n is a nonnegative integer. True or False
Hello, please help me out!
Answers
Answer:
True
Step-by-step explanation:
Yes this is a correct statement because a monomial usually has only one term and no + or - sign dividing the terms. For example 3x is a monomial which can be written as x*3