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Julli [10]
3 years ago
8

(5^4)^6 Rewrite using a single exponent

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0
Answer:
5^24

Explanation:
When you have an exponent of an exponent you multiply them.

4x6 = 24
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6 0
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If x^2-13x+42=(x+A)(x+B), then find the value of 3A-B
tigry1 [53]

Answer:

- 11 or - 15

Step-by-step explanation:

Factorise

x² - 13x + 42

Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)

The factors are - 6 and - 7, since

- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus

x² - 13x + 42 = (x - 6)(x - 7)

compare to (x + A)(x + B)

A = - 6, B = - 7

thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11

The factors may also be expressed as (x - 7)(x - 6)

with A = - 7 and B = - 6, then

3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15

5 0
3 years ago
What is the slope of the line whose equation is 2x+3y = -12?
luda_lava [24]

Answer:

slope = - \frac{2}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = - 12 ( subtract 2x from both sides )

3y = - 2x - 12 ( divide all terms by 3 )

y = - \frac{2}{3} x - 4 ← in slope- intercept form

with slope m = - \frac{2}{3}

6 0
2 years ago
Thethree sides of a triangle measure 810 and 12 units is this a right angle?
Alja [10]

Answer:

The given triangle is NOT A RIGHT ANGLED TRIANGLE.

Step-by-step explanation:

Here, the three given sides of the triangle are:

8 units, 10 units and 12 units

Now, for any triangle to be a right angle:

by the PYTHAGORAS THEOREM:

(Base)^2 + (Perpendicular)^2  = (Hypotenuse)^2

The longest of all sides id the hypotenuse.

⇒ H  = 12 units

Let us assume, B = 8 units, P = 10 units

Now, here checking the condition:

(8)^2  + (10)^2  = 64  + 100  = 164  \neq (12)^2  = 144\\\implies (B)^2  + (P)^2  \neq (H)^2

Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.

4 0
4 years ago
Jayden and Isabella share a reward of $40 in a ratio of 2:3. How much does Jayden get?
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$16 is the amount of jayden
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