answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
postnew
3 months ago
8

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

riangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
Mathematics
1 answer:
Leona [12.6K]3 months ago
7 0

B refers to the base of the triangle,
and a signifies the length of the two identical sides.


The measurement labeled as 'a' is larger than 'b' since those equal sides are longer than the base. Given "one of the longer sides measures 6.3 cm," we assign a = 6.3.


Substitute 6.3 for each 'a' in the equation and solve for b:
2a + b = 15.7
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6 (applying subtraction property of equality)
b = 3.1

You might be interested in
Consider this equation: –2x – 4 + 5x = 8 Generate a plan to solve for the variable. Describe the steps that will be used.
tester [12383]

The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:

-2x + 5x = 8 + 4
Next, simplify both sides:

3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.

6 0
3 months ago
Read 2 more answers
It takes jacob 24 minutes to eat a bucket of ice cream, and it takes Alisha 36 minutes to eat the same amount of ice cream. If t
babunello [11817]

Answer:

one hour.

Step-by-step explanation:

by subtracting 24 from 36, you arrive at 12, which when multiplied by 5 gives you 60. 60 minutes equals one hour.

hope this is useful!!

apologies if incorrect..

6 0
1 month ago
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I
AnnZ [12381]

Answer:

The correct option is:

On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).

Step-by-step explanation:

Initially, we must understand the translation rules

1) {f(x) + a} signifies f(x) moved up by (a) units

2) {f(x) – a} means f(x) moved down by (a) units

3) {f(x + a)} represents f(x) moved left by (a) units.

4) {f(x – a)} indicates f(x) moved right by (a) units.

Given information:

f(x) = x²

g(x) = (x-5)² + 1

By comparing the transformation from f(x) to g(x) with the translation rules

It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)

Refer to the attached image, which illustrates the graphs of both f(x) and g(x)

As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)

3 0
2 months ago
Read 2 more answers
Other questions:
  • Given angle A, how can you construct an angle whose measure is 1/4 m of angle A?
    10·2 answers
  • The function f(x) = Negative Startroot x EndRoot is shown on the graph. On a coordinate plane, an absolute value graph starts at
    15·2 answers
  • Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he s
    8·2 answers
  • Suppose that a new company has five employees: Zamora, Agraharam, Smith, Chou, and Macintyre. Each employee will assume one of s
    14·2 answers
  • Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice, 2 parts sugar, and 8 parts water. She juices 2
    13·2 answers
  • Stephen borrows $10,000 from his uncle at a simple interest rate of 2%. He repays the loan in full after 3 years. How much money
    13·2 answers
  • A bank is offering home loans at an interest rate of 5 1/2%. Write the percent as a fraction in simplest form.
    6·2 answers
  • Mai bought eleven 12-ounce bags of
    7·1 answer
  • 55 POINTS) Alicia is moving her office to another town. She has 1402 files, each of which is half an inch thick on average and s
    13·2 answers
  • Which of the following best describes the slope of the line below?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!