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2 years ago

9

Detailed answers appreciated: (7a -4) (2a -5)

2 answers:

igor_vitrenko [27]2 years ago

5 0

Expand the expression?

Perform indicated multiplication:

7a(2a)+7a(-5)-4(2a)-4(-5)

14a^2-35a-8a+20 combine like terms, ie (-35a-8a)=-43a

14a^2-43a+20

lana66690 [7]2 years ago

5 0

1. Us the FOIL method: (a + b)(c + d) = ac + ad + bc + bd:
14a^2 - 35a - 8a + 20
2. Collect like terms:
14a^2 + (-35a - 8a) + 20
3. Simplify:
14a^2 - 43a + 20

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Please help! its due today!!

nekit [7.7K]

Answer:

14

Step-by-step explanation:

a=1

b=2

d=2

c=10

K+L = 10¹+2² = 10+4 = 14

3 0

2 years ago

A line has slope and yintercept 5. which answer is the equation of the line

ioda

Answer: if the y-intercept is 5, it's c. -3/4x + 5. Since it's ax+b a = slope b = y intercept

Step-by-step explanation:

6 0

3 years ago

Find the perimeter of quadrilateral PQRS with the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3).

storchak [24]

Answer:

$P=16.53\ units$

Step-by-step explanation:

we know that

The perimeter of quadrilateral PQRS is equal to the sum of its four length sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)

step 1

Find the distance PQ

P(2,4), Q(2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(0)^{2}}$

$d=\sqrt{1}$

$dPQ=1\ unit$

step 2

Find the distance QR

Q(2,3), R(-2,-2)

substitute in the formula

$d=\sqrt{(-2-3)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$dQR=\sqrt{41}\ units$

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

$d=\sqrt{(3+2)^{2}+(-2+2)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$dRS=5\ units$

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(-4)^{2}}$

$dPS=\sqrt{17}\ units$

step 5

Find the perimeter

$P=PQ+QR+RS+PS$

substitute the values

$P=1+\sqrt{41}+5+\sqrt{17}$

$P=6+\sqrt{41}+\sqrt{17}$

$P=16.53\ units$

5 0

3 years ago

Divide.<br> 4^2.4^6<br> O 4-3<br> O 4^3<br> O 4-4<br> O 4^4<br><br> The answer is C, 4^4

Anettt [7]

Step-by-step explanation:

no, the answer is definitely NOT 4⁴.

4² is smaller than 4⁶, right ?

so, 4²/4⁶ must be smaller than 1.

remember, what we do with exponents when we multiply terms ? we add the exponents.

like 4²×4⁶ = 4⁸

and when we divide terms ? we subtract the exponents.

4²/4⁶ =

${4}^{ - 4}$

because 2 - 6 = -4

3 0

2 years ago

I need help! I can’t figure out this graph

vladimir2022 [97]

i)

Axis of symmetry:

x = - 2 (the value of x vertex)

ii)

Vertex:

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.

The vertex (-2, -4)

iii)

Domain:

All real number

iv)

Range: y >= - 4 (the vertex is the lowest point on the graph, it has minimum value and opens up)

7 0

3 years ago