Answer:
f(x) = - (x + 3)² + 12Step-by-step explanation:
The vertex form:
f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a- the leading coefficientWe have on the graph:
(h, k) = (-3, 12)Substitute into equation:
f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12Use the point (0, 3) to find the value of a:
3 = a(0 + 3)² + 123 = 9a + 129a = 3 - 129a = - 9a = -1So the function is:
f(x) = - (x + 3)² + 12(a) What additional information is needed to prove the triangles are congruent by ASA Postulate? Explain.
(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.
Answer:
A)
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
B)
H-L (Hypotenuse-Leg) Congruence Theorem. If the hypotenuse and leg in one right triangle are congruent to the hypotenuse and leg in another right triangle, then the two triangles are congruent.
Hope this helped
Find the value of y that will make these two triangles congruent:
Answer:
7
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
first you'd make 4y+12=32
get rid of 12 -12 =-12
4y=20
divide 4 =4
y=5
Determine the cost per pound:
313 pounds of apples for $10.50
Answer:
3 cents
Step-by-step explanation:
Divide the cost by total pounds. 10.5 divided by 313 is 0.03.
What’s the slope of (4,1) and (5,-3)
Answer:
-4
Step-by-step explanation:
A drill press operator requires 1 2/3 minutes to drill through 1 inch of steel. How long will it take him to drill through four-fifths inch of the same steel?
Answer: It will take him 1.3
Step-by-step explanation:
1 2/3 divided by 5 is 0.333
0.333 times 4 is 1.3
Find f(0), f(3), and f(5) for the following function: f(x) = 3x + 1
f(0) =
f(3) =
f(5) =
Answer:
1, 10, 16
Step-by-step explanation:
Substitute the given values of x into f(x)
f(0) = 3(0) + 1 = 0 + 1 = 1
f(3) = 3(3) + 1 = 9 + 1 = 10
f(5) = 3(5) + 1 = 15 + 1 = 16
The perimeter of the rectangle below is 65 inches.
a. What is the value of x?
b. What are the dimensions of the rectangle?
Answer:
A :-) Given -
perimeter = 65 inches
Side ‘a’ = 2x
Side ‘b’ = 3 1 by 4x + 1
Solution -
Perimeter = 65
= a + b = 65
= 2x + 3 1 by 4x + 1 = 65
( 3 1 by 4 = 4 x 3 + 1 = 12 + 1 by 4
= 13 by 4 )
= 2x + 13 by 4x + 1 = 65
= 2x + 13 by 4x = 65 - 1
= 2x + 13 by 4x = 64
= 15 by 4 x = 64
= x = 64 x 4 by 15
= x = 256 by 15
= x = 17.06
.:. The value of x = 17.06.
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
A. [tex]-{x}^{2}+x+3[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The solution is in attachment ~
x^3+10x^2+19x-30/x+6
Answer:
make it an equation
Step-by-step explanation:
It's not an equation.
Find the unknown sizes of angles in the following figure (I need step by step explanation and i might give brainliest):
Answer:
x = 54° , y = 29°
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180° then
x = 180° - (72 + 54)° = 180° - 126° = 54°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of Δ CQR , then
y + 25° = x
y + 25° = 54° ( subtract 25° from both sides )
y = 29°
Answer:
x = 54
y = 29
Step-by-step explanation:
First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.
To find x,
72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)
126 + x = 180
126 + x - 126 = 180 - 126
x = 54
To find y,
25 + 126 + y = 180
151 + y = 180
151 + y - 151 = 180 - 151
y = 29
Solve the equation.
b^2 = 48
Answer:
b=6.92820323
Step-by-step explanation:
To find b, you would do the opposite from ^2 which is the square root. So the square root of 48. That is 6.92820323
Answer:
b ≈ 6.928 or 4√3
Step-by-step explanation:
b² = 48. To find b, we need to square root both sides (we are doing the opposite of squaring):
b = √48 = 4√3 or ≈ 6.928
Hope this helps!
please help me ill give brainliest plz give me a simple answer
Answer:
this is just trial and error. Answer is 3
Please help me with this question
find the decimal equivalent of ¾ ounce to the thousandths place
0.75
Explanation:
Every 1/4 is 25. If you want to calculate them, then you're going to need 1/4 to find 25. In some other cases, 25, can also be written as another decimal. Such as, 4/100.
100/4 is 25. For example:
Woah! You have 3/4 of a dollar. You're really saving up money fast!
This example means that the person has 75 cents.
For an ounce, that would mean 0.04 pounds.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
52.5
Step-by-step explanation:
Just subtract 65-12 which is 53. Take away 0.5 to get 53.5
Answer:
The sunflower was 52.9 inches when the gardner last measured.
Step-by-step explanation:
a) x + 12.1 = 65 in.
b) To solve this problem, use inverse operations to find x variable. Since this problem has addition, we will have to use subtraction. 65 - 12.1 = 52.9. So, 52.9 would be your answer.
-kiniwih426
help me!!!!!!! please please please
Answer:
y and 65 is equal
y= 65°
....................
Help please!! Geometry
Applying angle pair relationships
Answer:
m∠2 = 75°
m∠1 = 105°
Step-by-step explanation:
1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.
2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.
[tex]180-75[/tex] [tex]105[/tex]Therefore, m∠1 = 105°.
rewrite the fraction 1/6 as a division expression with the same numbers.
Answer:
1 ÷ 6
Step-by-step explanation:
1/6 is the same as 1 ÷ 6
In the same way, 2/3 would be 2 ÷ 3
Hope this helps!
i need serious help guys!!!!!!
Answer:
b.
Step-by-step explanation:
Find the domain of f(x) = 3x for the range {-7, -1, 3, 11}.
=
Answer: i dont know
Step-by-step explanation:
Autumn spent a third of her weekly allowance on a shirt she liked. In order to earn more money her parents allowed her to mow the grass for $20. What is her weekly allowance if she ended with $31
If a hole is 7 feet deep and 4 feet wide how much dirt is in the hole?
Answer:
3 is the correct answer tbyvcrdgevzc
A table of values for a linear function is shown below. What is the slope of the line represented by the values in the table?
mathematics
Solve k - 120= 768 Find the value of k
Answer:
[tex]k - 120 = 768[/tex]
add 120 to both sides of the equation
[tex]k - 120 + 120 = 768 + 120[/tex]
120 on the left hand side of the equation cancels therefore isolating the variable, k
[tex]k = 888[/tex]
Helppppp pleaseeee I will mark brainliest
pls help me i don’t get this at all
Step-by-step explanation:
oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?
it is simple, the first number is the x value, and the second number is the y value.
so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.
if yes, then that pair is a solution.
(6, -33)
-33 >= -8×6 +7
-33 >= -48 + 7
-33 >= -41 true, -33 is indeed bigger than -41
in the same way as -1 is bigger than -2.
(-1, 12)
12 >= -8×-1 + 7
12 >= 8 + 7
12 >= 15 false
(8, -65)
-65 >= -8×8 + 7
-65 >= -64 + 7
-65 >= -57 false
(2, -1)
-1 >= -8×2 + 7
-1 >= -16 + 7
-1 >= -9 true, -1 is bigger than -9
(-6, 47)
47 >= -8×-6 + 7
47 >= 48 + 7
47 >= 55 false
Is (10^-2)3 = (10^-3)2 the same?
Answer:
i think it is same let me know
The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.
The actual U.S. population data (in millions) was:
Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?
Question 5 options:
Linear model
Exponential model
Neither
Answer:
The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 -1910 = 80 years or 158 80 = 1.975 million per year and in x years it will become 92 + 1.975 x million people. This can be graphed using the linear function 1.975 ( x − 1910 ) + 92 ,
graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}
The exponential model means that there is a uniform proportional increase i.e. say p % every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 − 1910 = 80 years or
p % given by 92 ( 1 + p ) 80 = 250 which gives us ( 1 +p ) 80 = 250 92 which simplifies to p = ( 250 92 ) 0.0125 − 1 = 0.0125743 or 1.25743 % .
This can be graphed as an exponential function 92 × 1.0125743 ( x − 1910 ) , which gives population in a year y and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}
Step-by-step explanation:
Hope this helps
Pencils cost 9p each.
How much do 28 pencils cost?
Answer:
252p or £2.52
Step-by-step explanation:
If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.
Hope this helps!
Answer:
252p
Step-by-step explanation:
What’s the answer to this question?
Answer:
x should equal 0
Step-by-step explanation: