A triangle is a three-edged polygon with three vertices. The length of the sides of the triangle is 5, 5, and 5√2.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Since the two angles are equal, therefore, the length of the two legs of the isosceles right triangle will be equal and will be less than the hypothenuse.
Hence, the length of the sides of the triangle is 5, 5, and 5√2.
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If A = (-2, -4) and B = (-8, 4), what is the length of AB?
A.) 14 units
B.) 10 units
C.) 16 units
D.) 12 units
Please helpppp!
Answer:
10
Step-by-step explanation:
Using the distance formula,
[tex] \sqrt{ {( - 2 - ( - 8))}^{2} + { (- 4 - 4)}^{2} } = 10[/tex]
12. Calculate. a) - (-/-)²2 c) 49
Answer:
write your questions very well
HURRY I NEED HELP QUICK
Gaira was asked to evaluate the algebraic
expression –3.8x + 6 when x = –7.5.
–3.8(–7.5) + 6(–7.5)
28.5 + (–45)
(–16.5)
The value of x the function when x = -7.5 is 34.5
Functions and valuesFunctions are written in terms of variables
Given the expression –3.8x + 6, when the value of x is -7.5, hence;
f(x) = –3.8x + 6
f(-7.5) = -3.8(-7.5) + 6
f(-7.5) = 28.5 + 6
f(-7.5) = 34.5
Hence the value of x the function when x = -7.5 is 34.5
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Question 3 of 10
Theresa has a credit card that uses the average daily balance method. For the
first 12 days of one of her billing cycles, her balance was $350, and for the
last 19 days of the billing cycle, her balance was $520. If her credit card's APR
is 14%, which of these expressions could be used to calculate the amount
Theresa was charged in interest for the billing cycle?
The amount that Theresa was charged in interest for the billing cycle is $5.30
How to calculate the interest?By using the average daily balance, the amount will be:
= (350 × 12) + (520 × 19) / (12 + 19)
= (4200 + 9880)/31
= 454.19
Therefore, the interest will be:
= (454 × 0.14)/12
= $5.30
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If a female student is selected at random, find the probablility that the student is a senior.
Add all the females together: 3 + 4 + 6 + 3 = 16
Female seniors = 3
Probability of picking a senior = 3/16 = 0.1875 x 100 = 18.75%
Rounded to the nearest whole number = 19%
Answer: 19%
How long does it take $500 to double at a simple interest rate of 24%?
Answer:
4 years and 2 months
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $500 × 2 = $1,000P = $500r = 24% = 0.24Substitute the given values into the formula and solve for t:
[tex]\implies \sf 1000 = 500(1 + 0.24t)[/tex]
[tex]\implies \sf \dfrac{1000}{500}=(1 + 0.24t)[/tex]
[tex]\implies \sf 2=1 + 0.24t[/tex]
[tex]\implies \sf 1 = 0.24t[/tex]
[tex]\implies \sf t=\dfrac{1}{0.24}[/tex]
[tex]\implies \sf t=4 \frac{1}{6} \:years[/tex]
[tex]\implies \sf t=4\:years\:2\:months[/tex]
Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.
geometry problem please help!
Answer:
x = 3
Step-by-step explanation:
the midsegment XW is half the sum of the parallel bases , that is
7x + 10 = [tex]\frac{1}{2}[/tex] (46 + 16 ) = [tex]\frac{1}{2}[/tex] × 62 = 31 ( subtract 10 from both sides )
7x = 21 ( divide both sides by 7 )
x = 3
Not sure how to do this
Answer:
[tex]\underline{\boxed{\sf{2(x - 11)(x + 11)}}}[/tex]
Step-by-step explanation:
[tex]\sf{2x^2 - 242}[/tex]
Common factor :
[tex]\sf{2x^2 - 242}[/tex]
[tex]\sf{2(x^2 - 121)}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Use the sum-product pattern :
[tex]\sf{2(x^2-121)}[/tex]
[tex]\sf{2(x^2 + 11x-11x - 121)}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Common factor from the two pairs :
[tex]\sf{2(x^2 + 11x-11x - 121)}[/tex]
[tex]\sf{2(x(x+11) -11(x + 11))}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Rewrite in factored form :
[tex]\sf{2(x(x+11)- 11(x + 11))}[/tex]
[tex]\sf{2(x - 11)(x + 11)}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Solution :
[tex]\sf{2(x - 11)(x + 11)}[/tex]
How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and y > 2x + One-third?
Answer: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
Answer:
Step-by-step explanation:344x-5-p-0-9-but=pmc+m2 something like that
Please help me with this
Answer:
point B
Step-by-step explanation:
Answer:
It's Point B.
Go to 5 on the x-axis and then go up 3
The 5 is the x-axis and 3 is the y-axis
0/1
What is the equation of
the line in y=mx+b form?
(Photo)
Answer:
y=-15x+100
Step-by-step explanation:
Sara sells aloe vera plants and barrel cacti at the local street fair. Each aloe vera plant is $3 and each barrel cactus is $2.
On Monday she sold a total of 12 plants for $31. How many of each type of plant did Sara sell?
x:# aloe vera y : # barrel cacti
Jerome solved a system of equations and found that it had an infinite number of solutions. Which system could be the system that Jerome solved
One example of a system of equations that has infinite solutions is given by:
x + y = 2.
2x + 2y = 4.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
A system will have infinite solutions when the two equations are multiples, hence one example is given by:
x + y = 2.
2x + 2y = 4.
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PLS HELP ASAP !!!!!!!!!!
Answer:
Alice
Step-by-step explanation:
14$ the amount he had - X the amount he lost (the unknown) is what is described by Alice
x:20=5:x
Calculate the positive value of x
i need help to find the square units of this triangle
Answer:
24square unit
Step-by-step explanation:
triangle area=1/2.b.h
=1/2.8.6=24
help meeee i need 100
Please help! Problem is below! (25 points max!)
Replace x with -17 and solve:
7(-17) + 2 = -119 + 2 = -117
answer: -117
8 out of 15
Select the graph that represents the inequality.
2x+3y>6
Answer:
3rd graph
Step-by-step explanation:
Since the inequality has a greater than symbol (>) and not a greater than or equal to symbol ([tex]\geq[/tex]), the graph will have a dotted line, meaning only the third and fourth graphs could be the one.
Since 2x+3y is GREATER THAN 6 and not LESS THAN 6, we know that the shaded part of the graph will be above (or more) than the line. Therefore, the third graph is the graph that represents the inequality.
The attached picture proves it :)
Hope this helps!
What is 95x9 divided by 14?
Answer:
213.75
Step-by-step explanation:
95×9=855
855÷4=213.75
Is (x+5) a factor of f(x)=x^3 - 4x^2 + 3x + 7? use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
No
Step-by-step explanation:
Use synthetic division
-5 | 1 -4 3 7
____-5 45 -240
1 -9 48 | -233
Since the remainder is not 0, then x+5 is not a factor of the polynomial
Escribe sobre lo que opinas del SAT
Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
Find the volume.
Area = 16.4 cm²
8.1 cm
cm³
Answer:
132.84 is the answer as volume is area times length
Which equations and/or functions represent the graphed line? Select three options.
A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).
The equations of the graphed line and function can be written as:
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
What is the Equation of a Graphed Line?Equation of a graphed line can be expressed in:
Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or
Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.
Find the slope (m) of the line:
Slope (m) = change in y / change in x = 1/2 = 0.5
y-intercept (b) = 2
To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:
f(x) = 1/2x + 2.
Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):
y - 3 = 1/2(x - 2)
Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):
y - 1 = 0.5(x - (-2))
y - 1 = 0.5(x + 2)
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I totally don't understand this I will give you 20 points if you help me with it
Answer:
-4.25
Step-by-step explanation:
QUESTION 8
If cos xº = -
OA. 175⁰
OB. 1500
OC. 1350
OD.
120⁰
-√3
2
and 90°
A
Answer:
B. 150
Step-by-step explanation:
4 in.
4 in.
What is the volume of this container?
1 in.
2 in.
4 in.
56 in²
64 ins
64 in²
56 ins
Answer:
64in
Step-by-step explanation:
for a four sided figure, you do base x height. volume isn't squared in Math.
helpp asapp please due soonn
Answer:
A.
Step-by-step explanation:
1.5m + 6.5q > 100
✨♥️
Point QQQ is located at (-4, 6)(−4,6)left parenthesis, minus, 4, comma, 6, right parenthesis. Point RRR is located at (8, 6)(8,6)left parenthesis, 8, comma, 6, right parenthesis.
What is the distance from point QQQ to point RRR?
=========================================================
Explanation:
Points Q and R have the same y coordinate of 6.
This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.
Going from -4 to 8 is a distance of 12 units because either
-4-8 = -12 which flips to +12 or 12
8-(-4) = 8+4 = 12
Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.
Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.
--------------------------------
If you need to use the distance formula, then this is what the steps may look like:
[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]
In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.
If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.