Answer:
b = -4
Step-by-step explanation:
Divide by 2:
b + 12 = 8
b = -4
Answer:
B = -4
Step-by-step explanation:
Take,
-4 + 12 = 8
Then,
8 x 2 = 16.
The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter that is half the perimeter of the first. Write an expression for the perimeter of the smaller triangle and combine like terms. What is the simplified expression?
0.75s
2.5s
1.75s
5s
Step-by-step explanation:
Isosceles means that two sides are equal.
if the base is 1½s the other two sides will be ½s and½s
thus perimeter=1½+½+½ =2½s
smaller triangle:
perimeter=½(1½s+½s+½s)
=½(2½s)
=1¼s convert to decimal
=1.75s
The simplified expression of the given situation is 1.75s.
The correct option is C.
What is an isosceles triangle?A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.
Given:
The base of an isosceles triangle is one and a half times the length of the other two sides.
Let s represents the side of the triangle.
The base = ([tex]1\frac{1}{2}[/tex])s = 3s/2
So, the other two sides are s and s.
So, the perimeter,
= 3s/2 + s/+ s
= 7s/2
A smaller triangle has a perimeter that is half the perimeter of the first.
That means,
the perimeter of the smaller triangle,
= 1/2(7s/2)
= 7s/4
= (1.75)s
Therefore, (1.75)s is the required expression.
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Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.
A number line going from 0.5 to 5. 0 dots are above 0.5 0 dots are above 1. 2 dots area above 1.5. 1 dot is above 2. 3 dots are above 2.5. 1 dot is above 3. 2 dots are above 3.5. 1 dot is above 4. 0 dots are above 2.5. 0 dots are above 5.
The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?
A. The median will decrease.
B. The mean will decrease.
C.The median will increase.
D. The mean will increase.
Let's see if we can recreate the histogram from the description.
Time count
0.5 0
1 0
1.5 2
2 1
2.5 3
3 1
3.5 2
4 1
4.5 0
5 0
The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.
For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5. When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.
Answer: B the mean will decrease
Answer:
B
Step-by-step explanation:
This is because the mean will decrease
I need help pleas help me it’s worth 38 pointsss I need help asap
Answer:
C
Step-by-step explanation:
The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!
Factorise 20x+25
thankful for the help
Answer:
5(4x + 5)
Step-by-step explanation:
Given
20x + 25 ← factor out the common factor 5 from each term
= 5(4x + 5)
Answer:
5(4x+5)
Step-by-step explanation:
divide both with the same number into smallest digit
eg: 5(4x+5)=20x+25
if 5x4=20 and 5x5=25
both can be divided by 5 to get smallest number(factorise it)
Three of the angles of a polygon are
105.5
sum of the angles in the
polygon is 2520 find each of the other
angles if they are equal to each other
Answer:
three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520. find each of the other angles if they are equal to each other. For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees. 16-3=13
Solve 1 over 25 = 5x + 4. (1 point)
Answer: x=-0.792
Step-by-step explanation:
For this problem, you want to get like terms onto one side, then solve for x.
[tex]\frac{1}{25}=5x+4[/tex]
[tex]-\frac{99}{25} =5x[/tex]
x=-0.792
help me
Factor: 5x2 – 15x – 20.
(a) 5(x-4)(x+1),
(b) -2(x-4)(x+5),
(c) -5(x+4)(x-1),
(d) 5(x+4)(x+1).
Answer:
C
Step-by-step explanation:
5×2=10
10-15x-20
-10-15x
5(-2-3x), or -5(x+4)(x-1) solve it and find your answer
What are the solutions to the equation? 4x=32-x^2
Answer:
-8 and 4
Step-by-step explanation:
4x=32-x^2x^2 +4x - 32=0x^2+4x+4 - 36=0(x+2)^2- 6^2=0(x+2+6)(x+2-6)=0x+8=0 ⇒ x= -8x-4=0 ⇒ x=44x = 32 -x^2
Subtract 4x from both sides and rearrange the equation:
-x^2 -4x +32 = 0
Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a
From the rewritten equation: a=-1, b = -4 and c = 32
Solving for x you get x = -8 and x = 4
The solutions are -8 and 4
Mrs. Schroeder, a school principal, drove her own car for a class trip, taking a different route. The principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip. How many miles did the principal drive? ____miles
Answer: 384 miles
Step-by-step explanation:
From the question, Mrs. Schroeder, a school principal, drove her own car for a class trip, by taking a different route and we are told that the principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip.
Since it used 1 gallon of gas for 32 miles, 12 gallons will be for:
= 32miles × 12
= 384 miles
The principal drove for 384 miles.
Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Which of the following are the coordinates of the OTHER two vertices of the square?
Answer:
(4 , 3 ) and (-3 , -4)
Step-by-step explanation:
Other two vertices will be in 1st quadrant and 3 rd quadrant
Answer: (4 , 3 ) and (-3 , -4)
Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant
Please answer correctly !!!!!!!!! Will mark brianliest answer !!!!!!!!!!!!
Answer:
9x^2 +12x
Step-by-step explanation:
To find the area of a rectangle you need to multiply the length by the width. So,
3 by 3x^2 = 9x^2
3 by 4x = 12x
So the area of the entire rectangle is: 9x^2 + 12x
A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At that rate, how many of the 2540 students at the local high school plan to go to college?
Answer:
1960
Step-by-step explanation:
8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.
Answer:2032
Step-by-step explanation:
8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023
The perimeter of a square is 48 cm. What is the area in square
centimetres?
2 points
Answer:
144cm²
Step-by-step explanation:
The equation x2 − 9 = 0 has real solution(s).
Answer:
The roots are real and unequal (3, -3)
Step-by-step explanation:
x²-9=0
ax²+bx+c=0
Comparing we get,
a= 1
b= 0
c = -9
Determinant: b²-4ac
= 0² - 4(1)(-9)
= 36>0
D > 0
Therefore, the equation has real and unequal roots.
Algebraic identity:
x² - a² = (x-a)(x+a)
Using this identity
x²-9 = (x+3)(x-3)
Roots are 3 and -3 which are real and not equal to each other
Hope this answer helps you ..
Answer:
2 real solutions
Which of the following is a quadratic function?
in photo..
Answer:
[tex]f(x)=-3x^2[/tex]
Step-by-step explanation:
A quadratic function is a function in which its degree (Highest power of the variable) is 2.
[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.
WILL MARK BRAINLIEST
The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).
I assume you meant h(t) = 160t - 16t^2, as h(t) = 160t - 16t2 has no maximum.
There's two ways of solving this:
(i) By completing the square and finding the maximum turning point.
(ii) By using Calculus methods to find derivative and equating it to 0 in order to find maximum turning point.
(i) h(t) = 160t - 16t^2
h(t) = -16t^2 +160t
h(t) = -16(t^2-10t) (by taking out a common factor of -16)
h(t) = -16[(t-5)^2 - 25] (by completing the square)
h(t) = -16(t-5)^2 + 400 (on multiplying out by -16)
From this we see that the turning point is at (5;400), therefore the maximum height is 400 feet and is reached after 5 seconds.
Or...
(ii) h(t) = 160t - 16t^2
h`(t) = 160 - 32t (where h`(t) = derivative of h(t))
Now to find maximum of h(t), we set h`(t) = 0 and solve for t:
0 = 160 - 32t (on substituting h`(t) = 0)
32t = 160 (on solving for t)
t = 160/32 (on dividing both sides by 5)
t= 5
Now we have found that at 5 seconds, we will reach our maximum height. So to find this maximum height, we'll have to substitute t=5 into h(t) = 160t - 16t^2.
h(5) = 160(5) -16(5)^2
h(5) = 800 - 400
h(5) = 400 feet
So, once again we have shown that maximum height is 400 feet and is reached after 5 seconds.
*Giving brainliest* Over what interval is the function in this graph constant?
Answer:
C
Step-by-step explanation:
Constant means unchanging. You can see that there is a portion in the graph where the line is just flat. That means that the graph is constant in that interval. Find where the constant line starts and ends. Since the coordinates are increasing by 2, and the constant line starts between 0 and the first tick (2), the constant line starts at 1. Do the same thing to find where it ends(the last point where the line is flat). This should be 6.
That means the line is unchanging(constant) from 1 to 6, which can be represented by C.
yo plz help asap!! marking brainiest!!
Answer:
1) a²-9a+20
2)a²-12a+20
3)a²+a-20
4)a²-8a-20
Step-by-step explanation:
use (foil)
front
outside
inside
last
if 60% of a number is 90, what is 4/5 of the number
Answer:
120
Step-by-step explanation:
To solve this, we can first find the value of the number.
Let's name the number x.
We can set up a proportion to solve.
90/60=x/100
Simplify.
9/6=x/100
Cross multiply.
6x=900
Divide both sides by 6.
x=150
The original number is 150.
Let's find 4/5 of that.
4/5*150
Multiply.
600/5
Divide.
120
________________________________
Hey!!!
Solution,
Let the number be X
60% of X=90
or,60/100*X=90
or,3/5*X=90
or,X=90/3/5
or,X=90*5/3
or,X=450/3
X=150
Again,
4/5 of X
=4/5*150
=120
The answer is 120
hope it helps
Good luck on your assignment
_____________________________
Which expression is equivalent to 81^1/3?
33/3
3133
9313
273/3
Answer: 3 3√3
Step-by-step explanation:
81^1/3
=3√81
= 3 3√3
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
The complete question is:
A certain element has a half life of 4.5 billion years.
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
Answer:
Age of rock = 7.82 billion years
Step-by-step explanation:
For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.
We are given that;
fraction remaining = 30% = 0.3
Thus;
0.3 = 0.5n
To find n, we have to use the log function;
log 0.3 = n log 0.5
-0.5229 = -0.301 n
n = -0.5229/-0.301
n = 1.737
We are given that;
Half life = 4.5 billion years
So, 1.737 half lives would give;
1.737 × 4.5 = 7.82 billion years
So, age of rock = 7.82 billion years
5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?
Answer:
60km
Step-by-step explanation:
75/10=x/8
Solve For X
75*8=600, 600/10=60
THEREFORE
75/10=60/8
You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage
Answer:
60km
Step-by-step explanation:
Let x represent the required distance.
Since the quantity of petrol is directly proportional to the distance:
x : 75 = 8 : 10
i.e. [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]
x = [tex]\frac{75 * 8}{10}[/tex]
x = 60
∴ The distance is 60 km.
Hope this helps!!!
i need help pls i would really appreciate it !!
Which graph shows a negative correlation?
Answer:
Option D
Step-by-step explanation:
because the data wasn't place on a table...
What epuation correctly shows how to determine the distance between points 9,-2 6,3
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
This is the distance formula. To find the distance, solve as shown:
[tex]d=\sqrt{(6-9)^{2}+(3-(-2))^{2} } \\d=\sqrt{(6-9)^{2}+(3+2)^{2} } \\d=\sqrt{(-3)^{2}+(5)^{2} } \\d=\sqrt{9 +25 } \\d=\sqrt{34 }[/tex]
PLEASE HELP ASAP!!!
How is solving addition and subtraction equations similar to and different from solving multiplication and division equations?
Answer:
Here is what I think:
Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.
decimal representation of 4 / 15 is
Answer:
0.2666666667
Step-by-step explanation:
72= 27+ 9s solve the equation
Answer:
s=5
Step-by-step explanation:
72=27+9s
Subtract 27 from both sides.
72-27=9s+27-27
45=9s
Divide 9 from both sides.
5=s
f(n) = 4(n-1) + 7
fine the first three(3) terms in the sequence show all work
Answer:
f(n) = 4(n-1) + 7
First term
f(1) = 4(1-1) +7 = 0 + 7 = 7
Second term
f(2) = 4(2-1) + 7
= 4(1) + 7 = 4 + 7 =11
Third term
f(3) = 4(3-1) + 7
= 4(2) + 7
= 8 + 7 = 15
Therefore the first three terms of the sequence are 7, 11 and 15.
Hope this helps
3. If angles R and S are complementary, which statement about the two angles is true?
mZR = 45° and mzs = 45°.
ZR and ZS form a right angle.
O ZR and 2S are both acute.
LR and ZS are adjacent.
Answer: ZR and ZS form a right angle
Step-by-step explanation:
Complementary angles are angles whose sum = 90ᴼ
If R and S are complementary, then their angle measures add to equal 90ᴼ
A right angle = 90ᴼ
ZR and ZS form a right angle.
What is complementary angle?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
What is right angle?When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.
According to the given question.
Angles R and S are complementary angles.
Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.
Therefore,
The ZR and ZS form a right angle.
Hence, option second is correct.
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