Answer:
[tex]\sqrt{242}[/tex]
Question
A triangle with area 40 square inches has a height that is four less than six times the width. Find the width and height of the
triangle
Answer:
width is 4
height is 20
Step-by-step explanation:
Area=½ width × height
let the width be x
height will be 6x - 4
40 = ½ × x × (6x - 4)
40 = 2/2 × 3x² - 2x
40 = 3x² - 2x
3x² - 2x - 40 = 0
3x² -12x + 10x - 40 = 0
3x(x-4) + 10(x-4) = 0
(3x + 10)(x - 4) = 0
x = -10/3 or 4
dimension cannot be negative
x is 4
6x-4= 6(4) - 4
24 - 4
20
Help help math math math
Answer:
y = 3x + 4
x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.
(i think this is right im not sure tho)
Answer:
3x+1
Step-by-step explanation:
3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y
Find an equation of the line having the given slope and containing the given point. Slope 7 through (6,3)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]
Answer:
[tex]y-3=7(x-6)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 7 and passes through the point (6,3).
We want to write the equation of this line.
There are three ways to do it:
Slope-intercept form, which is y=mx+b where m is the slope and b is the value of y at the y-intercept.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point. Standard form, which is ax+by=c where a, b, and c are free integer coefficients.As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.
SolvingAs we are already given both the point and the slope, we can plug them both into the equation.
Starting with the slope, substitute 7 for m.
[tex]y-y_1=7(x-x_1)[/tex]
Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].
[tex]y-3=7(x-6)[/tex]
help plssssssssssssssssss
Find the area of the triangle
Please help me - I don't get how to do this.
Please show your work - I really need to understand this
Answer:
Step-by-step explanation:
1. Pythagorean theorem: a^2+b^2=c^2
Note that the hypotenuse is 11 (for the second right triangle).
Find the length of the dotted line by doing 7^2+b^2=11^2
49+b^2=121, b=[tex]\sqrt{72\\}[/tex].
Now you can the area of the second right triangle: ([tex]\sqrt{72\\}[/tex](7))/2=29.7.
Find the length of the first right triangle:
Note that 9 is the hypotenuse; ([tex]\sqrt{72\\}[/tex])^2+b^2=9^2
=72+b^2=81
b=3.
([tex]\sqrt{72}[/tex])(3))/2=12.7
18/5=t/4 what does t=
Answer:
72/5
Step-by-step explanation:
18/5 x4 = t/4 x4
(18x4)/5 = t
t = 72/5
Elements that do not belong to a set belong to its
Answer:
What do you mean for this question?
Step-by-step explanation:
Give specific details
A triangle has two interior angles with the measurement of 68° and 54°. What's the measurement of the third interior angle?
Answer
58°Step-by-step explanation:
A triangle has two interior angles with the measurement of 68° and 54°. What's the measurement of the third interior angle?
The sum of interior angles of a triangle is 180°
so
180 - 68 - 54 =
58
order the expression from least to greatest
Answer:
So it would be 4, 11, 20
Step-by-step explanation:
[tex]11^1 = 11[/tex]
[tex]2^2 * 5 = 20[/tex]
[tex]8^2-60 =4[/tex]
find the rate of change
input 1 2 3 4 5
output 11 13 15 17 19
Answer:
2
Step-by-step explanation:
x-values in the table increase by 1, while y-values increase by 2. The rate of change is ...
m = slope = rate of change = (change in y)/(change in x) = 2/1 = 2
The rate of change is 2.
Answer:2
Step-by-step explanation:
PLEASE HELP ME, ILL GIVE YOU BRAINLIEST
Answer:
3/2^3=3/8 and (-1/4)^2 = 1/16
Step-by-step explanation:
1. You know what 2^3 is, right? That's 2*2*2. 2*2 is 4, and then 4*2 is 8. So that is 3/8.
2. (-1/4)^2 is (-1/4)*(-1/4), right? So that is (-1*-1)/(4*4). Two negatives make a positive, so -1*-1=1. 4*4 is 16, so we have 1/16.
Jenny does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 10 hours. She spends at most 12 hours doing cardiovascular work. She spends at most 7 hours on weight training. Let x denote the time (in hours) that Jenny spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
Check the picture below. Notice, we didn't go below 0 on the x-axis, assuming the x-axis is the hours, because she couldn't do -1hours, but the area is between 0 - 7 hours.
At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
w [tex]\leq[/tex] 50
Step-by-step explanation:
A box is 36 inches long,18 inches wide, and 6 inches deep. How many cubic feet are in the box?
Answer:
3,888 ft³
Step-by-step explanation:
Multiply the dimensions together.
[tex](36)(18)(6)=3888[/tex]
Therefore, the box is 3,888 ft³.
The volume of the box in feet given its dimensions is 2 1/4 feet³.
What is the volume of the box?The volume of the box can be determined by multiplying the length, width and height of the box with each other.
Before the volume can be determined, the dimensions have to be converted from inches to feet.
1 inch - 1/12 feet
Length = 36 / 12 = 3 feet Width = 18 / 12 = 3/2 feet Height = 6/12 = 1/2 feetVolume = 3 x 3/2 x 1/2 = 9/4 = 2 1/4 feet³
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
#SPJ2
Solve the equation. -10=2y
Answer:
y=-5
Step-by-step explanation:
-10/2=2y/2
-5=y
y=-5
Answer:
y = - 5
Step-by-step explanation:
You have yo divided the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
Solve for X
please help!
Answer:
x = 4
Step-by-step explanation:
17x+2 = 18x-2
4 = x
good luck
Answer:
x = 4
Hope you could understand.
If you have any query, feel free to ask.
Not sure where to start
Which expression is undefined?
Answer:
D: [tex]\frac{3}{(6-6)}[/tex]
Step-by-step explanation:
Option A equates to [tex]-\frac{0}{2}=0[/tex]
Option B equates to [tex]\frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}[/tex]
Option C equates to [tex]0\div11 =0[/tex]
Option D equates to [tex]\frac{3}{(6-6)}=\frac{3}{0}[/tex] which cannot be defined as division by 0 is impossible
The dimensions of a trapezoid are halved.
a) How will the area be affected?
b) If the area of the original trapezoid is 28 cm?, then what will the area of the smaller
trapezoid be?
Draw or add images here
Answer:
a) area will be 1/4 of the original
b) 7 cm²
Step-by-step explanation:
a)Consider the equation for the area of a trapezoid:
A = 1/2(b1 +b2)h
Now, halve each of the dimensions:
A' = 1/2((1/2)b1 +(1/2)b2)((1/2)h)
A' = (1/4)(1/2(b1 +b2)h) = 1/4A
The area is multiplied by the square of the scale factor: (1/2)² = 1/4.
__
b)The area of the smaller trapezoid will be ...
A' = 1/4A = (1/4)(28 cm²) = 7 cm²
What is 5x + 12 < 2 ?
Answer:
x < -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5x + 12 < 2
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10[Division Property of Equality] Divide 5 on both sides: x < -2Answer:
x < - 2
Step-by-step explanation:
5x + 12 < 2 ( subtract 12 from both sides )
5x < - 10 ( divide both sides by 5 )
x < - 2
Select the two pairs of figures that are similar
After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.
Answer:
43.86
Step-by-step explanation:
that's da awnserrr
The length of a pool is twice its width. What is the ratio of the length to the width of the pool?
Answer:
2:1 OR as a fraction, 2/1
Step-by-step explanation:
We don't know the actual length or width of this pool, like we don't know a number, as in exactly how many feet or meters long or wide this pool is. For this question, we don't need to know. "Twice" means 2 times. So if we consider the width (which we don't know) and call it w, then the length, (which we also don't know) which is two times as long, would be 2w
Width = w
Length = 2w
Ratio of Length to Width is
2w:w or as a fraction 2w/w
This can be simplified to
2:1 or as a fraction 2/1
Help help help help math math
Answer:
a is 27354326 b is 13943y and c is 1937x
Step-by-step explanation:
anyone please help this hard
Answer:
a. 6
b. 21
c. 78
d. 13.5
e. 14
f. 24
Hope that helps!
Wendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.
How many bags of seed can she buy? Do not include units in your answer.
Answer here
SUBMIT
Answer:
5
Step-by-step explanation:
If Wendy has $27 to buy seeds, and each seed bag costs $5, then:
5 · 5 = 25
5 · 6 = 30
27<30
27>25
So, Wendy is able to buy 5 bags and remain with 2 dollars.
1. What is the value of x that satisfies the equation? Must show all proper work/steps!
32^2x = 16^2x+8
Student's Work
Student's Answer
A. x = 4
B. x =- 4
C. x = 16
D. x = 1
Please explain all steps
[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]
Answer:
x = 16
Hope you could get an idea from here.
Doubt clarification - use comment section.
f(x) = 4x, g(x) = x^4 find gog
Answer:
x^16
Step-by-step explanation:
Put x^4 in the place of x, to get (x^4)^4. Multiply the exponents
the ordered pair (2, - 3) has a solution to which of the following inequalities?
Divide 63.5 ÷ 0.25 round the quotient to the nearest ten-thousandth
Answer:
254
Step-by-step explanation:
63.5 ÷ 0.25 =
= 63.5 ÷ 1/4
= 63.5 × 4
= 254
Answer: 254.