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otez555 [7]
3 years ago
9

If 3x2 - 7y + 6 is subtracted from 4x2 - 3y + 4, the result is

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

X^2 +4y-2

Step-by-step explanation:

Substraction gives the difference between two points or two positions.

We were told to substraction 4x2 - 3y + 4, from (3x2 - 7y + 6)

Then we can say

(4x2 - 3y + 4) -(3x2 - 7y + 6)

If we open the bracket we have

4x2 - 3y + 4 - 3x2 + 7y - 6

Then if we collect like terms we have

4x2 - 3x2 -3y +7y +4 -6

Then we have

X^2 +4y-2

Hence the substraction between 4x2 - 3y + 4, and (3x2 - 7y + 6)

gives us X^2 +4y-2

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The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.Which would be the best way to estimate the
klasskru [66]

Answer:

50% of 3000

Step-by-step explanation:

49% is very close to 50% (half).  3,025 pounds is very close to 3,000 pounds.

Half of 3,000 pounds is 1,500 pounds.

3 0
3 years ago
What is true about the function graphed below?
Dafna1 [17]

Answer:

  D. The axis of symmetry is the y-axis.

Step-by-step explanation:

The vertex is at coordinates (0, 3). Since this parabola opens vertically, its axis of symmetry is the x=coordinate of the vertex: x = 0. That is the equation of the y-axis.

The axis of symmetry is the y-axis.

8 0
3 years ago
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17
Lesechka [4]
A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
7 0
4 years ago
Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

p=28.726

Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

now, we can plug values

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
4 years ago
Read 2 more answers
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