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Stolb23 [73]
3 years ago
12

How do you answer this equation? 5a - 12 = 48

Mathematics
1 answer:
IgorC [24]3 years ago
8 0
Add 12 to both sides resulting in 5a = 60 and then divide both sides by 5 which results in a = 12 so your answer will be a = 12
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What is the average rate of change of the function f(x) = 4x – 2 over the interval x = –1 and x = 2?
Alexeev081 [22]

Answer:

4

Step-by-step explanation:

Given: f(x)=4x-2

To find:  average rate of change of the function f(x)=4x-2 over the interval x=-1 and x=2

Solution:

Take a=-1,\,b=2

Find f(a),\,f(b)

f(a)=f(-1)\\=4(-1)-2\\=-4-2\\=-6\\\\f(b)=f(2)\\=4(2)-2\\=8-2\\=6

Average rate of change of the function =\frac{f(b)-f(a)}{b-a}

=\frac{f(2)-f(-1)}{2-(-1)}\\\\=\frac{6-(-6)}{3} \\\\=\frac{12}{3}\\\\=4

7 0
3 years ago
I NEED HELP !!! 30 points!!!! and brainliest :)<br><br>please give sensible answer :(<br><br><br>​
Allushta [10]

Answer:

Step-by-step explanation:

9) PQR Is an isosceles triangle

=> ∠PRQ = (180° - x)/2

PRS is an isosceles right triangle

=> ∠PRS = 45°

Have: ∠PRS + ∠PRQ = 115°

=> \frac{180-x}{2}+45=115 \\

=> 180 - x = (115 - 45).2 = 140

<=> x = 180 - 140 = 40

10) ABD is an isosceles right triangle => ∠ABD = 45°

BCD is an equilateral triangle => ∠CBD = 60°

have: x = ∠ABD + ∠CBD = 45° + 60° = 105°

11) have: x = y (2)

PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40

QTS   is an isosceles triangle => ∠TQS = 180 -2x

QRS   is an isosceles triangle => ∠RSQ = y

have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)

(1)(2) => \left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.

=> x + y = 80

12) EFJ Is an equilateral  triangle => ∠FJE = 60

∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle

=> 60 = 2.∠JHF => ∠JHF = 30°

∠JHF is the outer angle of the triangle FHG

=> 30° = 2x

<=> x = 15°

7 0
3 years ago
Solve for brainliest
Nuetrik [128]

Answer:

A ≈ 78.5

Your answer was wrong because it said to round to the nearest tenth.

Step-by-step explanation:

First, to find the area of a circle, you need the radius or diameter of a circle. You can see that the radius is 5 (counting the units from E directly horizontal to the edge of the circle).

Area of a circle is:

A = πr²

A = π (5)²

Following PEMDAS (order of operations), you would do the exponent first:

A = π (25)

A ≈ 78.5

3 0
3 years ago
Read 2 more answers
How many of you dislike the scent "Into The Night" by Bath &amp; Body Works?​
kicyunya [14]

Answer:

I don't even know what that is srry tho.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A car moving at a constant speed passed a timing device at t= 0. After 8 seconds, the car has
erastova [34]

Answer:

d = 94t

Step-by-step explanation:

The rate of speed is 752 ft / 8 sec = 94 ft/sec

d = 94t

8 0
3 years ago
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