Answer:
The number is -100, Jill can think of something else, now.
Step-by-step explanation:
x = the number
x/4 - 20 = -45 {twenty less than one-fourth of the number is -45}
x/4 = -25 {added 20 to each side}
x = -100 {multiplied each side by 4}
Answer:
-31.25
Step-by-step explanation:
Jill's number=[1/4×(-45)]-20
=-11.25-20
=-31.25
What is the slope of the line that passes through the points (0,7) and (8, 7)? In simplest form?
plug the points into y2-y1/x2-x1:
[tex] \frac{7 - 7}{8 - 0} [/tex]
Now do the subtraction on both the bottom and top:
[tex] \frac{7 - 7 }{8 - 0} = \frac{0}{8} [/tex]
0 divided by a number will equal 0, so the slope is 0.
The price of a pair of pants was reduced from $30 to $12. By what percentage was the price of the pair of pants reduced?
Answer:
Well to calculate percentage decrease
(Starting value- ending value / starting value)* 100
so 30-18=12
12/30= 2/5
2/5*100= 200/5
40 percent
Now thats the amount lost so
100%-40%=60%
60% reduction
Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
Answer:
20
Step-by-step explanation:
[tex]f(x) = 2|x + 6| -4[/tex]
Step 1: Substitute [tex]x[/tex] for the given function.
6 is the given function.
[tex]f(x) = 2|x + 6| -4\\=f(x) = 2|6 + 6| -4\\\\f(x) = 2|6 + 6| -4\\=24-4\\\\=20[/tex]
Write an equation of the line that passes through each pair of points.
(-3,9), (-3,-5)
** Will mark brainliest, please show work!**
Answer:
y = 0x - 5 or just y = -5
Step-by-step explanation:
use the slope intercept equation
y2 - y1
x2 - x1
- 5 - 9 = 14
-3 + 3 = 0
14 / 0 = 0
so the slope is undefined
take one of the points (let's use -3, -5) and plug that in the slope intercept form (y = mx+b)
so -5 = 0(-3)+b
0 • 3 = 0 so the b (or y intercept) equals -5
so the equation is y = -5
Identify the vertex, focus, and directrix of the parabola with equation
x + y^2 + 4y - 1 = 0. (Hint: Complete the square to find the vertex form
of the equation.)
Answer:
Is y
[tex]y = \sqrt{ - } 5 \times + 1[/tex]
Answer:
Hello,
Here is your answer.
Vertex: (5, -2)
Focus: (19/4, -2)
Directrix: x = 21/4
Step-by-step explanation:
Enzo begins playing video games at 7:10. He logs off at 7:25.
How long did Enzo play video games?
Answer:
15 minutes
Step-by-step explanation:
725 - 710 = 15
PLEASE MARK ME BRAINLIEST!!!!
X+3(2×-4)=-19
help please
Answer:
x = 5
Step-by-step explanation:
X+3(2×-4)=-19
First, solve the brackets.x + 3(-8) = -19
Now, multiply 3(-8).x - 24 = -19
Add 24 to both sides of the equation.x = 5
Evaluate each of the expressions below using the given value.
[tex]\frac{2a}{3} +13, \:a=15[/tex]
Step 1: Substitute [tex]a[/tex] for 15
[tex]\frac{2(15)}{3} +13[/tex]
Step 2: Solve
Multiply 2 to 1515 × 2 = 30
[tex]\frac{30}{3} +13[/tex]
Divide 30 by 330 ÷ 3 = 10
[tex]10 +13[/tex]
Add 10 to 1310 + 13 = 23
The evaluation of the expression is 23.
State the range in proper interval notation
Answer:
the range in interval notation is (-4, 4).
Step-by-step explanation:
"Range" refers to the set of numbers that contains all possible values of y that a given function can take on. In this diagram we see that the smallest possible y-value is -4 and the largest is +4, not inclusive (the set does not contain either -4 or +4). Thus, the range in interval notation is (-4, 4).
I need help please and thank you
I'm not very good at algebra I need help with this lol
Answer:
Answer is 33
Step-by-step explanation:
If x equals 3, then the equation simplifies to 6 squared - (9/3)
9 divided by 3 is 3, then 6 squared is 36.
36-3 = 33. Hope this helps!
Anyone know please answer
Answer:
[tex]f( - 9) = - 3 |( - 9) + 5| = - 3 | - 4| \\ = - 3 \times 4 = - 12[/tex]
f(x) =
- 2x + 2, x < 3
-1, x > 3
Evaluate the function when x = 5.
f(5)
---
Evaluate the function when x = 3.
=
f(3) =
Answer:
f(5)=14
f(3)=122
Step-by-step explanation:
this is due at midnight and I have no idea how to do it
Answer:
I personally have no idea how to do this but quizlet might have the answer
Sorry hope this helps though
Step-by-step explanation:
Which of the following expression could be used to calculate the perimeter of the following circle?
The expression that could be used to calculate the perimeter of the following circle is 2π(5)
Perimeter of a circleThe perimeter is also known as the circumference of a circle. The formula for calculating the perimeter of a circle is expressed as;
C =2πr
where
r is the radius of the circle
Determine the radius
r = 10/2
r = 5cm
Substitute
C = 2π(5)
Hence the expression that could be used to calculate the perimeter of the following circle is 2π(5)
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Imagine math. which boxes do I put the equations in, and what kind of formulas or equations I can use to solve them?
Step-by-step explanation:
3x3x3x3x3x3 = 3^6
3x3x3 = none
6x6x6 = 6^3
6+6+6 = 6x3
3 + 6 = none
3+3+3+3+3+3 = none
Answer:
For box 3^6:
3×3×3×3×3×3
For box 6^3:
6×6×6
For box 6×3:
6+6+6
3+3+3+3+3+3
For None:
6+3
3×3×3
Hope this helps! Brainliest would be really appreciated!
write the product using exponents -3/7×3/7×3/7
Answer:
[tex]-(\frac{3}{7})^3[/tex]
Step-by-step explanation:
Since we see that 3/7 is multiplied by itself three times, we can use exponents as a shorter way to write this. The expontent tells us how many times the base number, 3/7, is multiplied by itself.
[tex]-1 * (\frac{3}{7})^3[/tex]= [tex]-1 * \frac{3}{7} * \frac{3}{7} * \frac{3}{7}[/tex]
We then multiply by -1 to (3/7)^3 to get the exact answer.
[tex]-(\frac{3}{7})^3[/tex]
Order the fractions from least to greatest .
The first one is
2/3
Answer:
2/9 < 11/18 < 2/3 < 5/6
Divide and Simplify completely, show your work: I want to see the problem rewritten
as a multiplication problem then solve as you wish and just put in the answer. 2
points for the problem written as a multiplication problem then 2 pts for correct
answer.
3/4 divided by 5/6=
Answer:
The answer is 9/10.
Step-by-step explanation:
Step 1: 3/4/5/6. This means, 3/4 is being divided by 5/6 and so you write it in that form. Take this for an example. 2/4 divided by 3 is 2/4/3.
Step 2: 3/4 ÷ 5/6. This is because, we want the question to be easy to simplify. Also, we want to write the division question as a multiplication problem. And this sign ( / ) means to divide.
Step 3: 3/4 × 6/5. This is because in Maths, when a fraction is dividing another fraction, that fraction is reciprocated ( the fraction at the right side.) Reciprocated here means the denominator is made the numerator and the numerator is made the denominator.
Step 4: 3/2 × 3/5. How? We cancelled out. 2 goes into 4 twice and into 6 thrice.
Step 5: 9/10. We multiplied 3/2 × 3/5 to get 9/10.
7. The relation y = 7x + 35 represents the monthly cost y (in dollars) of a group of
x members joining the fitness club.
a. Identify the independent and dependent variables.
b. Your group has enough money for up to six members to join the fitness club.
Find the domain and range of the function.
c. Is the relation a function?
Answers and Step-by-step explanation:
a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.
b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.
c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).
A domain can not have multiple ranges. A range can have multiple domains though.
The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.
What is an equation?In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
y = 7x + 35, x members joining the fitness club and y is cost.
(a) As you can see from the equation, y depends on the value of x,
(b) Calculate the amount of x = 6 (as given)
y = 7 × 6 + 35
y = 42 + 35
y = $77
The domain of the function is 6 and the range is 77.
(c) Yes, as we put the values in x, y also changes, so it is a function.
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Decide if the following statement is valid or invalid. If two sides of a triangle are congruent then the triangle is isosceles. In ABC AB=BC so ABC is isosceles. Show work if you can
Answer:
Step-by-step explanation:
Properties of an Isosceles Triangle
(Most of this can be found in Chapter 1 of B&B.)
Definition: A triangle is isosceles if two if its sides are equal.
We want to prove the following properties of isosceles triangles.
Theorem: Let ABC be an isosceles triangle with AB = AC. Let M denote the midpoint of BC (i.e., M is the point on BC for which MB = MC). Then
a) Triangle ABM is congruent to triangle ACM.
b) Angle ABC = Angle ACB (base angles are equal)
c) Angle AMB = Angle AMC = right angle.
d) Angle BAM = angle CAM
Corollary: Consequently, from these facts and the definitions:
Ray AM is the angle bisector of angle BAC.
Line AM is the altitude of triangle ABC through A.
Line AM is the perpendicular bisector of B
Segment AM is the median of triangle ABC through A.
Proof #1 of Theorem (after B&B)
Let the angle bisector of BAC intersect segment BC at point D.
Since ray AD is the angle bisector, angle BAD = angle CAD.
The segment AD = AD = itself.
Also, AB = AC since the triangle is isosceles.
Thus, triangle BAD is congruent to CAD by SAS (side-angle-side).
This means that triangle BAD = triangle CAD, and corresponding sides and angles are equal, namely:
DB = DC,
angle ABD = angle ACD,
angle ADB = angle ADC.
(Proof of a). Since DB = DC, this means D = M by definition of the midpoint. Thus triangle ABM = triangle ACM.
(Proof of b) Since angle ABD = angle ABC (same angle) and also angle ACD = angle ACB, this implies angle ABC = angle ACB.
(Proof of c) From congruence of triangles, angle AMB = angle AMC. But by addition of angles, angle AMB + angle AMC = straight angle = 180 degrees. Thus 2 angle AMB = straight angle and angle AMB = right angle.
(Proof of d) Since D = M, the congruence angle BAM = angle CAM follows from the definition of D. (These are also corresponding angles in congruent triangles ABM and ACM.)
QED*
*Note: There is one point of this proof that needs a more careful “protractor axiom”. When we constructed the angle bisector of BAC, we assumed that this ray intersects segment BC. This can’t be quite deduced from the B&B form of the axioms. One of the axioms needs a little strengthening.
The other statements are immediate consequence of these relations and the definitions of angle bisector, altitude, perpendicular bisector, and median. (Look them up!)
Definition: We will call the special line AM the line of symmetry of the isosceles triangle. Thus we can construct AM as the line through A and the midpoint, or the angle bisector, or altitude or perpendicular bisector of BC. Shortly we will give a general definition of line of symmetry that applies to many kinds of figure.
Proof #2 (This is a slick use of SAS, not presented Monday. We may discuss in class Wednesday.)
The hypothesis of the theorem is that AB = AC. Also, AC = AB (!) and angle BAC = angle CAB (same angle). Thus triangle BAC is congruent to triangle BAC by SAS.
The corresponding angles and sides are equal, so the base angle ABC = angle ACB.
Let M be the midpoint of BC. By definition of midpoint, MB = MC. Also the equality of base angles gives angle ABM = angle ABC = angle ACB = angle ACM. Since we already are given BA = CA, this means that triangle ABM = triangle ACM by SAS.
From these congruent triangles then we conclude as before:
Angle BAM = angle CAM (so ray AM is the bisector of angle BAC)
Angle AMB = angle AMC = right angle (so line MA is the perpendicular bisector of BC and also the altitude of ABC through A)
QED
Faulty Proof #3. Can you find the hole in this proof?)
In triangle ABC, AB = AC. Let M be the midpoint and MA be the perpendicular bisector of BC.
Then angle BMA = angle CMA = right angle, since MA is perpendicular bisector.
MB = MC by definition of midpoint. (M is midpoint since MA is perpendicular bisector.)
AM = AM (self).
So triangle AMB = triangle AMC by SAS.
Then the other equal angles ABC = ACB and angle BAM = angle CAM follow from corresponding parts of congruent triangles. And the rest is as before.
QED??
Yes, This statement is valid.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The two sides of a triangle are congruent.
Then, In ΔABC;
⇒ AB ≅ BC
So, ΔABC is isosceles.
Now,
Since, The two sides of a triangle are congruent.
We know that;
In a triangle if two sides are equal then it is an Isosceles triangle.
So, The given statement '' ΔABC is isosceles'' is valid.
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Montrer que le carré d un nombre pairest un nombre pair
Answer:
soit n un nombre entier quelconque; 2n sera pair et 2n+1 sera impair.
1) (2n)² = 4n² = 2 * 2n²
2) (2n+1)² = 4n² + 4n + 1 = 2*(2n² + 2n) + 1
3) 2n + 2m = 2*(n+m)
la somme de 2 nombres pairs est paire
(2n + 1) + (2m + 1) = 2n + 2m + 2 = 2 *(n + m + 1)
la somme de 2 nombres impairs est paire
Step-by-step explanation:
Triangle DEF is translated using the rule (x, y) → (x + 4, y - 5).
Use words to describe the distance and direction Triangle DEF is translated
Y is 4 less than the product of 3 x
Answer:
y=4-3x
Step-by-step explanation:
Hope this helps!!!
A contractor purchases 5 dozen pairs of padded work gloves for $70.80. she incorrectly calculates the unit price as $14.16 per pair for the expense report. What is the correct unit prise? What is the error?
Answer:
1 dozen = 12 units
7 dozen = 12 × 7 = 84 units
Correct unit price = 103.32 ÷ 84 = $1.23
The contractor's unit price incorrect because he did 103.32 ÷ 7 dozen.
The price he calculated is for the price for 1 dozen, not 1 unit
Step-by-step explanation:
What is 3(xy) = 3(xy)?
Answer:
it is an equation that is always valid
Step-by-step explanation:
3(xy) = 3(xy)
3(xy)-(3xy) = 0
0 = 0
The mass of a standard hockey puck must be at least 156 grams. What is the minimum mass of 8 hockey pucks in kilograms?
if A= {1,2,3} and B= {i,o,u} Find A×B
Answer:
GIVEN :
A = { 1 , 2 , 3 } & B = { i , o , u }SOLUTION :
[tex] \large{ \tt{A \times B = \{ \: 1 \:, 2 \: ,3 \} \: \times \: \{ \: i, \: o ,\: u \}}}[/tex]
[tex] \large{ \tt{= \{ \: (1 \:, i \: ) \: (1 \: ,o \: ) \: (1 \: ,u \: ) \: (2 \:, i) \: (2 \: ,o \: ) \: (2 \:, u) \: (3 \:, i) \: (3 \:, o) \: (3 \: ,u) \}}}[/tex]
-Hope I helped! ~
Please feel free to leave any comments if any! :)
I will give 40 points!!! PLEASE HELP!!!
The map shows the location of a mall, library, and school in a city:
Coordinate grid shown from negative 14 to positive 14 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 14, 6, Mall is the ordered pair 10, 6, and School is the ordered pair 10 and negative 4.
Britney traveled from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles did Britney travel than Alice? (1 point)
8 miles
9 miles
10 miles
12 miles
The direct distance from the school to the library, travelled by Alice can be
found using Pythagoras's theorem.
The number of miles Britney travelled more than Alice is; 8 miles
Reason:
The distance, d, between points given their coordinates, (x₁, y₁), (x₂, y₂) can
be found with the formula;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
The above formula can be obtained using Pythagoras's theorem.
The distances travelled by Britney are;
Distance from the school to the mall = [tex]\sqrt{(10 - 10)^2 + (6 - (-4))^2}[/tex] = 10
Distance from the mall to the library = [tex]\sqrt{(-14 - 10)^2 + (6 - 6)^2}[/tex] = 24
Total distance travelled by Britney = 24 miles + 10 miles = 34 miles
The distance travelled by Alice is from the school to the library, which
gives; Alice's distance = [tex]\sqrt{(10 - (-14))^2 + (-4 - 6)^2}[/tex] = 26
Distance travelled by Alice from the school to the library is 26 miles
The number of miles more Britney traveled is 34 miles - 26 miles = 8 miles
Therefore;
Britney traveled 8 miles more than Alice
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Alvin's age is two times Elga's age. The sum of their ages is 69. What is Elga's age?
Answer:
23
Step-by-step explanation:
69 divided be 3
= 23
step 2
23 + 23 = 46 ( Alvin age)
step 3
69 -46= 23 Elga age
Answer:
Elga's age is 23
Step-by-step explanation:
To solve this, we need to make our equation.
2x+x=69
In this equation, 2x is Alvin's age, while Elga's age is x. The 69 is the sum of their ages.
Combine the like terms in this equation.
3x=69
Divide both sides by 3
3/3x=69/3
x=23
Elga's age is 23, but we still need to check to make sure we are correct.
To do this, plug in 23 for x.
2(23)+23=69
46+23=69
69=69
Do we get a true statement? Yes, so we are correct.