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user100 [1]
3 years ago
8

In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angl

e EBC

Mathematics
1 answer:
Yanka [14]3 years ago
4 0

Answer:

n/6

Step-by-step explanation:

If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC

Since <ABC = <ABD+<DBC

n = 2<DBC+<DBC

n = 3<DBC

<DBC = n/3

Since <DBC = 2EBC

n/3 = 2<EBC

n/6 = <EBC

Hence <EBC = n/6

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4x - 5= 2(2x - 1) -3
Alekssandra [29.7K]

Answer and Step-by-step explanation:

Solve for x.

Distribute the 2.

4x - 5 = 4x - 2 - 3

Combine like terms

4x - 5 = 4x - 5

Add 5, and subtract 4x.

0 = 0

There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
- vnuәуре отти аропс
Daniel [21]

equation in slope-intercept form is:

y=9x+7

Step-by-step explanation:

The general form of slope-intercept form is:

y=mx+b

where m is the slope and b is the y-intercept

In the question we are given slope m=9 and a point(0,7)

We will find b i.e y-intercept

y=mx+b\\7=9(0)+b\\7=0+b\\b=7

So, value of b=7 and value of slope m=9

So, equation in slope-intercept form is:

y=9x+7

Keywords: slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

8 0
3 years ago
Re-write the equation without the h component.
levacccp [35]

Answer:

f(x) = 2[\frac{3^x}{9}] + 2

f(x) = 8(4)^x

Step-by-step explanation:

Given

f(x) = 2(3)^{x-2} + 2

f(x) = \frac{1}{2}(4)^{x+2}

Required

Remove the h component

In a function, the h component is highlighted as:

f(x) = a^{x+h}

So, we have:

f(x) = 2(3)^{x-2} + 2

Split the exponents using the following law of indices:

a^m/a^n = a^{m-n}

f(x) = 2*\frac{3^x}{3^2} + 2

f(x) = 2*\frac{3^x}{9} + 2

f(x) = 2[\frac{3^x}{9}] + 2

<em>The h component has been removed</em>

f(x) = \frac{1}{2}(4)^{x+2}

Split the exponent using the following law of indices

a^{m+n} =a^m * a^n

So, we have:

f(x) = \frac{1}{2}(4)^x * 4^2

Express 4^2 as 16

f(x) = \frac{1}{2}(4)^x * 16

Divide 16 by 2

f(x) = 8(4)^x

3 0
2 years ago
Does anybody know the answer???
Rasek [7]

Answer:

Rectangle

Step-by-step explanation:

According to this grapher that I am using it shows a rectangle using your coordinates

Please give brainliest

6 0
3 years ago
Read 2 more answers
Use the function f(x) to answer the questions.
frutty [35]

<u>Part A</u>

<u />-16x^2 + 60x+16=0\\\\4x^2 - 15x-4=0\\\\(4x+1)(x-4)=0\\\\x=-\frac{1}{4}, 4

<u>Part B</u>

The vertex of the graph will be a maximum because the leading coefficient is negative.

The x coordinate of the vertex is -\frac{60}{2(-16)}=\frac{15}{8}.

When x=15/8, f\left(\frac{15}{8} \right)=\frac{289}{4}.

So, the vertex has coordinates \left(\frac{15}{8}, \frac{289}{4} \right)

<u>Part C</u>

Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.

The graph is in the attached image.

3 0
2 years ago
Read 2 more answers
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