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3 years ago

Y= 5x+2 linear equation

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

Answer:

Step-by-step explanation:

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What are the features of the quadratic function f(x)=(x-3)(x+7)?

bixtya [17]

Answer:

It's vertex (-2,-25)
x-intercept x₁=-7,x₂=3
y-intercept f(0)=-21
domain,xER or x is an element of real number
it's neither even nor odd function

3 0

2 years ago

The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th

Yanka [14]

Answer:

Step-by-step explanation:

It is given that the length of triangle base is 26, then let ABC be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.

Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then

Since, triangle ABC is similar to triangle ADE, thus using basic proportions, we get

$\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}$

$\frac{AD}{AD+DB}=\frac{DE}{BC}=\frac{AE}{AE+EC}$

$\frac{a}{a+b}=\frac{c}{26}=\frac{d}{d+e}$

Taking the first two equalities,we get

$\frac{a}{a+b}=\frac{c}{26}$

$c=\frac{26a}{a+b}$

Thus, the length of the segment between triangle legs is $\frac{26a}{a+b}$

7 0

4 years ago

What is the radical form of each of the given expressions?

earnstyle [38]

Answer:

$6^{\frac{1}{5} }=\sqrt[5]{6}$

$6^{\frac{7}{5} }=\sqrt[5]{6^7}$

$6^{\frac{1}{6} }=\sqrt[6]{6}$

$7^{\frac{1}{2} }=\sqrt[2]{7}$

$7^{\frac{5}{2} }=\sqrt[2]{7^5}$

$6^{\frac{9}{2} }=\sqrt[2]{6^9}$

Step-by-step explanation:

A radical is the root operation for n roots such as square root or cuberoot in the form $\sqrt[n]{x}$ . A fraction exponent $x^{m/n}$ can be converted to the radical form.

$6^{\frac{1}{5} }=\sqrt[5]{6}$

$6^{\frac{7}{5} }=\sqrt[5]{6^7}$

$6^{\frac{1}{6} }=\sqrt[6]{6}$

$7^{\frac{1}{2} }=\sqrt[2]{7}$

$7^{\frac{5}{2} }=\sqrt[2]{7^5}$

$6^{\frac{9}{2} }=\sqrt[2]{6^9}$

7 0

3 years ago

How do you solve Log (base 8) 2 =x

LenaWriter [7]

Log8 2 = x
by the definition of logs, we can write

8^x = 2

8^(1/3) = 2

so x = 1/3

or we could solve it by using log to base 10 and use our calculator

log 8^x = log 2
x log 8 = log 2

x = log 2 / log 8 = 0.333.... = 1/3

3 0

3 years ago

find the area of the shaded region of the radius is 9<br> Did I get the answer right

crimeas [40]

Answer:69.66

r=9 so diameter is 18, and the shape being a square you do 18 x 18 = 324

now the circles area is 254.34 now find the difference... and it is 69.66

Step-by-step explanation:

5 0

3 years ago