Answer:
(3a4 + 4)2
= (12a+4)2
= 24a+8
Find the length of x of the side of the larger triangle. (Assume that the two triangles are similar, and use the fact that corresponding sides of similar triangles are proportional)
X=
Similar triangles may or may not be congruent
The value of x that makes both triangles similar is 4.5
The equivalent ratio of both triangles is:
[tex]\mathbf{2 : 1 = 9 : x}[/tex]
Express the above equivalent ratio as a fraction
[tex]\mathbf{\frac 12= \frac x9 }[/tex]
Multiply both sides of the fraction by 9
[tex]\mathbf{\frac 12\times 9 = \frac x9 \times 9 }[/tex]
Cancel out common factors
[tex]\mathbf{\frac 12\times 9 = x}[/tex]
Divide 12 by 9
[tex]\mathbf{4.5 = x}[/tex]
Rewrite the above expression as:
[tex]\mathbf{x = 4.5 }[/tex]
Hence, the value of x is 4.5
Read more about similar triangles at:
https://brainly.com/question/14926756
Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answer:
16
Step-by-step explanation:
it doubles every time 2,4,8. 16
187²–87² without using mathematical table or calculator
27.400
Step-by-step explanation:
187X187 = 34.969
87X87=7.569
34.969 - 7569 = 27.400
Use the identity
(a + b)² = a ² + 2ab + b ²
Then rewrite 187² as
187² = (100 + 87)² = 100² + 2•100•87 + 87²
Subtract 87² eliminates the last term from above, so we're left with
(100² + 2•100•87 + 87²) - 87²
= 100² + 2•100•87
= 10000 + 2•8700
= 10000 + 17400
= 27400
Plz help I need help
Answer:
proportional
Step-by-step explanation:
hope this helps
Let's try it! If we set these two ratios equal to each other and cross-multiply, the results should be the same if they are, in fact, proportional.
8/20 = 20/80
400 ? 640
400 and 640 are not the same number, so these ratios are not proportional.
Hope this helps!! :)
i asked a question a while ago and nobody has answered it pls help
Answer:
bet but need barinlyist
Step-by-step explanation:
What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?
Answer:
27 minutes
Step-by-step explanation:
(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 minHelp me guys here
NonSense Answer=Report
IF Tyler s currently 5 inches
tal, how many inches more
does he need to grow to be
feet tal?
Hey there! Your answer is:
7 inches
Explanation:
If Tyler is 5 inches tall, he needs to grow 7 inches to be a foot tall. This is because 12 inches are in 1 foot. We can do a simple subtraction problem to figure this out.
12 inches - 5 inches = 7 inches
Since Tyler is 5 inches tall, we know that if we subtract 12 inches from 5 inches we will get the number of inches he needs to grow.
I hope this answer helps you out! Let me know if you have any questions and have a wonderful day/night!
Helppppppp plzzzzzzz
Answer:
102°
Step-by-step explanation:
Angles in a straight line is added up to 180°
So,
Angle 1 + Angle 2 = 180°
Given that,
Angle 2 = 78°
We can find angle 1
Let us find,
Let the angle 1 be x
[tex]x+78=180\\x=180-78\\x=102[/tex]
As a and b lines are parallel,
Angle 1 = Angle 5 (Corresponding angles)
Also we already found the angle 1
So,
Angle 5 = 102°
Hope this helps you.
Let me know if you have any other questions :-)
I need help with this
Answer:
Your answer is C. x=6 I hope this helps you! :D
If you need i can also provide steps.
Answer:
C. x=6
Step-by-step explanation:
You can work it out as follows:
6 - 0.2x = 2(6 - 0.6x) =>
6 - 0.2x = 12 - 1.2x =>
-0.2x + 1.2x = 12 - 6 =>
1.0x = 6 =>
x = 6
- The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you
know the decimal point of your quotient is placed reasonably.
Answer:
the weight of each marble is 2.55 grams
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
[tex]y = a(x - 1)^2 - 6[/tex]
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]
or
[tex]a = -\frac{1}{9}[/tex]
Therefore, the equation of the parabola is
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
which of the following statements are true for sin (-430°)
i. the basic angle, a lies in the second quadrant
Ii. sin (-430°) = +sin (430°)
III. sin (-430°) = sin (70°)
iv. a = 30°
Answer:
Step-by-step explanation:
sin(-430)=-sin(430)=-sin(360+70)=-sin 70
Which represents the solution to the inequality 4x + 7(3x - 3) ≤ 9 - 5x in interval notation
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 1
Interval Notation:
( − ∞, 1)
15. In his piggy bank, Neil has three times as many dimes as nickels and he has four more quarters than nickels. The coins total $4.60. How
many of each coin does he have?
10 quarters 6 nickels 18 dimes
Which number line model represents the expression-1/2+5/4
Answer:
B
Step-by-step explanation:
The exterior angle of a triangle is 164 degree and one
of its interior opposite angle is 98 degree. Find the other
interior opposite angle.
Answer:
• Let the other interior angle be x
[tex]{ \rm{x + 98 \degree = 164\degree}} \\ \\ { \rm{x = 164\degree - 98\degree}} \\ \\ { \boxed{ \rm{x = 66\degree}}}[/tex]
What is the solution to the equation?
-4 = 1
.
Enter your answer in the box.
X=
Step-by-step explanation:
I'm not sure about my answer
Write an equation in point slope form that goes through the point (3,5) and is perpendicular to the line y=1/3x-7
Answer:
[tex]y - 5 = - 3(x - 3)[/tex]
Step-by-step explanation:
our original equation
[tex]y = \frac{1}{3} x - 7[/tex]
A perpendicular slope of a line is the negative reciprocal
So our slope would be -3
point slope form is
[tex]y - y1 = m(x - x1)[/tex]
let's substitute our given point (3, 5) and our perpendicular slope, -3
[tex]y - 5 = - 3(x - 3)[/tex]
Evaluate the expression
6a - 2b when a = 5, b=7
[tex] = > 6a - 2b[/tex]
[tex] = > 6(5) - 2(7)[/tex]
[tex] = > 30 - 14[/tex]
[tex] = > 16[/tex]
2) A pizza and bottle of soda together cost $14. If the pizza costs 6 times the price of the bottle
of soda, what is the price of each item?
HELP!!
Answer:
$14.6
Step-by-step explanation: because adding how all they are in total.
La puntuación media de un examen final fue de 72 y la desviación típica de 9. El 10%
de los mejores alumnos recibió la calificación A. ¿Cuál es la puntuación mínima que
un estudiante debió tener para recibir un A?
Answer:
I don't know what to do sorry
The table below represents an exponential function of the form y = a . b^x
Complete the table and find the equation. Write all your numerical answers in
Fraction form.
What is the value of a?
What is the value of b?
Answer:
Step-by-step explanation:
If one of the data points has the form (0,a)
, then a is the initial value. Using a, substitute the second point into the equatio f(x)=a(b)x, and solve for b.If neither of the data points have the form (0,a)
, substitute both points into two equations with the form f(x)=a(b)x Solve the resulting system of two equations in two unknowns to find a and b.Using the a and b found in the steps above, write the exponential function in the form f(x)=a(b)x.
A friend asked you to borrow $250 and agrees to repay it with 4% interest how much interest will you earn after eight months
Answer:
I believe in the question it only states 4% interest without any time factor so therefore it would be $10 interest for 1 month or 8 months
Is this a trick question?
Step-by-step explanation:
Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].
Lets check if the three conditions hold.
1 : Continuity of g on the interval [0,2]
First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]
2 : Differentiable on the same interval
Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]
Also we have g'(x) = 2*3*x² - 3 = 6x² - 3
3 : Do we have g(0) = g(2) ?
Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1
And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11
Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0
Simplify the expression x+4+5/x-2÷x+6+15/x-2
Answer:
hope this helps
pls mark as brainliest
describe the transformation of g(x)=(-1/2x) as it relates to the graph of f(x)=x
Answer:
c
Step-by-step explanation:
If m∠12 = 117° and m∠5 = 51°, find each measure.
m∠1 = º m∠8 = º
m∠2 = º m∠9 = º
m∠3 = º m∠10 = º
m∠4 = º m∠11 = º
m∠6 = º m∠13 = º
m∠7 = º m∠14 = º
Answer:90
Step-by-step explanation:
Identify the graph that represents y=(x-1)^2+2
Step-by-step explanation:
i hope this is what you need
What is the value of this expression?
(−8)3