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sineoko [7]
3 years ago
10

An isosceles trapezoid has a perimeter of 34 millimeters. Its shorter base measures 4 millimeters and its longer base measures 6

millimeters. The two remaining sides have the same length; what is that length?

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
The length is twelve.

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Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4
lina2011 [118]

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7

On simplifying both the expressions we get:

\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1

Compute the value of both expressions for <em>x</em> = 2 as follows:

\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27

The value of both expressions are same for <em>x</em> = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

6 0
3 years ago
What is the domain of the function ya v?<br> O 0 O 0 O 1
umka21 [38]

Answer:

C

Step-by-step explanation:

X can't be negative cause it wouldn't make sense

8 0
3 years ago
Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215
GenaCL600 [577]

We are given a trapezoid TRHY.

Height of the trapezoid = 13 units.

b1 = 21 units and

Area = 215 units squares.

We need to find the length of b2.

We know formula for area of a trapezoid.

A= \frac{1}{2} (b1+b2)\times h

Plugging values in formula.

215 = \frac{1}{2}(21+b2)× 13.

215 = 6.5(21+b2)

Dividing both sides by 6.5, we get

\frac{215}{6.5}=\frac{6.5(21+b2)}{6.5}

33.08 = 21+b2.

Subtracting 21 from both sides, we get

33.08-21 = 21-21+b2

b2 = 12.08.

<h3>Therefore,  length of b2 is 12.08 units.</h3>
4 0
3 years ago
the population of a school is 400 students. Next year it is expected to be about 120% of what it is now. Choose next year's stud
Gelneren [198K]
Given:
this year's population: 400 students
next year's population: 120% of this year's population

this year's population x rate of next year's population = next year's population

400 students * 120% = 480 students  CHOICE D.

There will be 480 students next year.


5 0
3 years ago
Solve by factorization<br> 2x^2 + 3x -20 = 0
saul85 [17]

Answer:

x=2.5 or x=-4

Step-by-step explanation:

factorisation= factors:1, 2, 4, 5, 10, 20 (only the positive factors)

We will use the factors 4 and 5.

=(2x-5)(x+4)=0

2x-5=0   || x+4=0

2x=+5      || x=-4

x=2.5  or x=-4

4 0
3 years ago
Read 2 more answers
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