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3 years ago

Please I really need help I will mark you as brainliest!

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

∠ XYZ ≈ 72.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanXYZ = $\frac{opposite}{adjacent}$ = $\frac{XZ}{XY}$ = $\frac{13}{4}$ , thus

XYZ = $tan^{-1}$ ( $\frac{13}{4}$ ) ≈ 72.9° to 1 dec. place )

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5^(2x-1)+5^(x+1)=250 how do you solve? thank you

zepelin [54]

Answer:

x = 2

Step-by-step explanation:

Exponential Equations

Solve:

$5^{2x-1}+5^{x+1}=250$

Separate each exponential:

$5^{2x}5^{-1}+5^{x}5^{1}=250$

Operating:

$\displaystyle \frac{5^{2x}}{5}+5^{x}5=250$

Multiplying by 5:

$5^{2x}+25\cdot5^x=1250$

Rearranging:

$5^{2x}+25\cdot5^x-1250=0$

Recall that:

$5^{2x}=(5^{x})^2$

$(5^{x})^2+25\cdot5^x-1250=0$

Calling

$y=5^{x}:$

$y^2+25y-1250=0$

Factoring:

$(y-25)(y+50)=0$

There are two possible solutions:

y=25

y=-50

Since

$y=5^{x}$

y cannot be negative, thus:

$5^{x}=25=5^2$

The solution is:

x = 2

8 0

3 years ago

Which line has a slope of 1/2 and a y-intercept of 2?

AnnZ [28]

Answer:

it would be the bottom left graph

Step-by-step explanation:

Rise over Run

7 0

3 years ago

Sarah needs to buy 3 identical shirts to wear. She had $15 gift certificate. Including using the gift certificate, she can spend

Marianna [84]

Let the cost of a shirt be s.

Three shirts = 3s.

3s + 15 ≤ 80 (Answer F)

3 0

3 years ago

The axis of symmetry for the graph of the function is f(x) = 1/4 x2 +

CaHeK987 [17]

Answer:

Step-by-step explanation:

f(x) = 1/4 x²+bx+10

the derivate is : f'(x) = 1/2 x +b

you have : f'(6)=0

1/2 (6)+b=0

3+b =0

b = -3

so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1

f(x) = 1/4(x-6)²+1... the vertex form

3 0

2 years ago

Please answer this if you can thank you :))

krek1111 [17]

Answer:

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) $4x^3$ .

The degree is 3.

2) $x^2+4$ .

The degree is 2.

3) $x-2$

The degree is 1.

B column:

1) $2x^2+1$

The degree is 2.

2) $x^2-x$

The degree is 2.

3) $x^3-5x^2+1$

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) $(4x^3)(2x^2+1)$ .

= $8x^5+4x^3.$

The degree is 5.

2) $(x^2+4)(x^2-x)$ .

= $x^4-x^3+4x^2-4x$ .

The degree is 4.

3) $(x-2)(x^3-5x^2+1)$ .

$=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.$

The degree is 4.

3 0

3 years ago