Answer:
The vertex form of the quadratic function, f(x) = a·(x - h)² + k
Step-by-step explanation:
The general form of a quadratic function is given as follows;
f(x) = a·x² + b·x + c
The vertex form of the quadratic function is f(x) = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex of the parabola
h = -b/2·a, k = f(h)
Find the measure of the angle indicated.
1
2
4
3
151°
6
8
7
The measure of angle 7 is
Answer:
7
Step-by-step explanation:
help pls!!
2xy + 3xt - 7yt = 0
In the equation above, x and y are positive and
x< y. What is t in terms of x and y?
A) t= 1/2
B) t= 2xy / 3x - 7y
C) t= 2xy / 7y - 3x
D) t= xy / 2(y-x)
Answer:
B
Step-by-step explanation:
[tex]2xy + 3xt - 7yt = 0[/tex]
[tex]3xt - 7yt = - 2xy[/tex]
Factor out t
[tex]t(3x - 7y) = - 2xy[/tex]
Divide by 3x-7y
[tex]t = - \frac{2xy}{3x - 7y} [/tex]
But since x and y are positive, the answer is positive
[tex]t = \frac{2xy}{3x - 7y} [/tex]
The daily listening audience of an AM radio station is five times as large as that of its FM sister station. If 144,000 people listen to these two radio stations, how many listeners does the FM station have?
Answer:
The number of FM listereners are 24000.
Step-by-step explanation:
Let the listeners of FM are p and thus the istereners of AM are 5p.
According to the question,
p + 5 p = 144000
6 p = 144000
p = 24000
The number of FM listereners are 24000.
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answer:
. JUST LOAD
Step-by-step explanation:
Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a nearby tree casts a shadow that is 2.4 meters long. How tall is the tree?
Answer:
13.6 meter
Step-by-step explanation:
Given that :
Suzi's height, p1 = 1.7 m
Suzi's shadow, p2 = 0.3 m
Tree shadow, t2 = 2.4 m
Tree height, t1 =?
Using the relation :
p1 / p2 = t1 / t2
1.7 / 0.3 = t1 / 2.4
Cross multiply :
1.7 * 2.4 = 0.3 * t1
4.08 = 0.3t1
t1 = 4.08 / 0.3
t1 = 13.6
Height of the tree is 13.6 m
Question 14
The coordinates of triangle ABC are A(2,3), B(2,-1), C(-1,-1). Describe the ordered pairs after the tranformation D3.
The ordered pairs of the transformation are A'(1,2), B'(1,-2), C'(-2,2) of the coordinates of the triangle ABC are A(2,3),B(2,-1),C(-1,-1).
What is meant by coordinates?
They are the points which together when jointed form a triangle.
How to do transformation of a triangle?
The transformation of triangle whose coordinates are as A(2,3), B(2,-1), C(-1,-1) is done as follows:
A'=(2-1,3-1)=(1,2)
B'=(2-1,-1-1)=(1,-2)
C'=(-1-1,-1-1)=(-2,-2)
Hence the ordered pairs are (1,2)(1,-2)(-2,-2).
Learn more about transformation of a triangle at https://brainly.com/question/4289712
#SPJ2
find the size of each of the unknown angles.
plz solve this question fast as soon as possible with solution.
Answer:
Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°
Step-by-step explanation:
To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.
180 - 100 = 80
Angle a is 80°.
Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.
After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.
Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.
So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.
Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction
Answer:
[tex]y = 5x + 3[/tex]
Step-by-step explanation:
Given
[tex]y = 3x - 2[/tex]
[tex]10(x + \frac{3}{5}) = 2y[/tex]
Required
The second equation in slope intercept form
We have:
[tex]10(x + \frac{3}{5}) = 2y[/tex]
Divide both sides by 2
[tex]5(x + \frac{3}{5}) = y[/tex]
Open bracket
[tex]5x + 3 = y[/tex]
Rewrite as:
[tex]y = 5x + 3[/tex]
Hence, the equation in slope intercept form is: [tex]y = 5x + 3[/tex]
Answer: I agree with the other person
Step-by-step explanation:
If A =
[tex]if \: a \: = \binom{53}{24} \: and \: b = \binom{32}{10} then \: prove \: that |ab| = |a| . |b| [/tex]
and B = Prove that |AB| = |A| . |B|
Of the methods for solving systems of equations, which is best used when one equation is solved for either x or y, or can easily be solved for x or y?
Answer:
Elimination
Step-by-step explanation:
If the quadratic formula is used to find the solution set of 3x + 4x-2 = 0, what are the solutions?
Help me to do this question plz plz plz
Answer:
area of parallelogram=base *height
Answer:
area =36cm²
Step-by-step explanation:
area of parallelogram= b×h
9×436cm²hope it helps stay safe healthy and happy..Activity 5: COMPARE US! Write an inequality relating the given pair of angles or segment measures. Complete each statement by choosing <, =, or >.
Answer:
1. LM < PN
2. AD < DC
3. m<CAB < m<CBA
4. m<1 = m<2
Step-by-step explanation:
Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.
1. LM is opposite to <LNM,
PN is opposite to <NLP
m<LNM is less than m<NLP, therefore,
LM < PN
2. AD is opposite to <ABD
DC is opposite to <DBC
m<ABD is less than m<DBC, therefore,
AD < DC
3. m<CAB is opposite to CB
m<CBA is opposite to CA
CB is less than CA, therefore,
m<CAB < m<CBA
4. The side opposite to <1 is congruent to the side opposite to <2.
Therefore,
m<1 = m<2
Question 4 (5 points)
Determine the value of x.
4v2
8V2
4
8
Answer:
Step-by-step explanation:
Which equation, when graphed, has x-intercepts at (2.0) and (4.0) and a y-intercept of (0.-16)?
f(x) = -(x-2)(x-4)
f(x) = -(x + 2)(x + 4)
O f(x) = -2(x-2)(x-4)
O f(x) = -2(x + 2)(x + 4)
Answer:
equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O
Can someone help with this
Answer:
Step-by-step explanation:
[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]
Mean = 3.95
B) To find the median, arrange the data in ascending order
3.3 ; 3.6 , 3.8 ; 3.8 ; 4.1 ; 5.1
As number of data is even, median = Average of (n/2)th term and (n/2)th term +1
= Average of 3 and 4th term
[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]
Median = 3.8
C) 3.8 occurs two times.
So, Mode = 3.8
d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase
e) If April (3.8) is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase
If April is deleted from chart, there will be no change in median.
Still median will be 3.8 only
What is the relationship between an angle of elevation and an angle of depression in a right triangle?
Answer: Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Answer:
Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Step-by-step explanation:
correct on EDGE2021
How do I write
(28/4) - (x+7) in written form?
Answer: The quotient of 28 and 4 minus the sum of a number and 7
Step-by-step explanation:
wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m
Answer:
I believe the last answer is correct
Step-by-step explanation:
Both runners are gaining money
Three less than the product of a number and six is twenty seven
Write an equation to represent the sentence:
Answer:
let the number be a
product of a number and six = 6 times a=6a
three less than the product of a number= 6a-3
then the full equation will be 6a-3=27
Charlie dve 208 miles in 4 hours at a constant speed he continues at that speed give the equation that shows the relationship between driving hours
Answer:
52 miles per hour
Step-by-step explanation:
I think you're missing some info, so this is all I can help with right now
The length of a small rectangular room is "6 more than the width" and the
area of the room is 27 square units. Which of the following represents the
dimensions of the room?
O 3 and 6
O 6 and 9
6 and 6
3 and 9
Which number line represents the solution set for the inequality-1/2x>_4
Answer:
B
Step-by-step explanation:
Firstly, we solve for x
-x ≥ 2 * 4
-x ≥ 8
Multiply both sides by -1
x ≤ -8
So we look at the inequality represented by this;
We can see that the correct inequality is option B;
A system of equations and its solution are given below.
System A
5x-y=-11
3x-2y=-8
solution: (-2,1)
To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.
System B
5x-y=-11
?
A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.
Which equation is represented by the table of values below
X Y
0 3
1 -1
2 -5
3 -9
4 -13
Answer:
Y= –4X+3
Step-by-step explanation:
Aight, check this out. the X and Ys are gonna form a linear equation.
Y=aX+b
3=a(0)+b===> b=3, so there you got for b
–1=a(1)+3===> a= –4
and the final touch
Y= –4X+3
2. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.
Answer:
232
Step-by-step explanation:
===========================================
Explanation:
I recommend drawing out the triangle. See below.
Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.
side a is opposite angle Aside b is opposite angle Bside c is opposite angle CWe're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A
A+B+C = 180
A+22+52 = 180
A+74 = 180
A = 180-74
A = 106
We do this so we can then apply the law of sines
sin(A)/a = sin(B)/b
sin(106)/30 = sin(22)/b
b*sin(106) = 30*sin(22) ....... cross multiplication
b = 30*sin(22)/sin(106)
b = 11.6910908340182 ....... which is approximate
b = 11.7
Make sure your calculator is in degree mode.
What is the value of a?
A.50 B.90 C.27.5 D.45
Answer:
[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]
Answer:
B. 90
Step-by-step explanation:
The 45° angle is an inscribed angle that subtends arc a.
An inscribed and measures half the measure of its subtended arc.
45° = (1/2) * a°
a = 2 * 45
a = 90
Find the other endpoint of the line segment with the given endpoint and midpoint. Round to the
nearest tenth.
Endpoint (-5, 4) Midpoint (-10, 6)
Can someone help me understand what I'm supposed to look for in a simple way?
Answer:
I need help on this too!
There are many examples, you can write anyone:
Vertical angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Linear pair
∠2 and ∠4
∠4 and ∠3
∠3 ans ∠1
∠1 and ∠2
∠6 and ∠8
∠8 and ∠7
∠7 and ∠5
∠5 and ∠6
Congruent angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
please help me with my work
When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
