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2 years ago

Please help quickly !!!

Mathematics

2 answers:

kenny6666 [7]2 years ago

8 0

Answer:

B) w^35

Step-by-step explanation:

you multiple the power of 5 by 7 to get 35

lapo4ka [179]2 years ago

4 0

Answer: Im 100% sure its (B). w^35 yw

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Find the length of the hypothesis of a 45degree -45 -90 triangle with leg length 13 square root of 2

KatRina [158]

Check the picture below.

8 0

3 years ago

Pls someone help, ill give ya brainliest :D

iris [78.8K]

Answer:

Part A) The x-intercepts are the points (-2.5,0) and (0.5,0)

Part B) The vertex is a minimum and the coordinates are (-1,-9)

Part C) see the explanation

Step-by-step explanation:

we have

$f(x)=4x^{2}+8x-5$

Part A: What are the x-intercepts of the graph of f(x)?

we know that

The x-intercepts are the values of x when the value of the function f(x) is equal to zero

For f(x)=0

$4x^{2}+8x-5=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2}+8x-5=0$

$a=4\\b=8\\c=-5$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(4)(-5)}} {2(4)}$

$x=\frac{-8(+/-)\sqrt{144}} {8}$

$x=\frac{-8(+/-)12} {8}$

$x_1=\frac{-8(+)12} {8}=0.5$

$x_2=\frac{-8(-)12} {8}=-2.5$

therefore

The x-intercepts are the points (-2.5,0) and (0.5,0)

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex?

we know that

The quadratic equation represent a vertical parabola open upward (because the leading coefficient is positive)

therefore

The vertex represent a minimum

$f(x)=4x^{2}+8x-5$

Convert to vertex form

Factor 4

$f(x)=4(x^{2}+2x)-5$

Complete the square

$f(x)=4(x^{2}+2x+1)-5-4$

$f(x)=4(x^{2}+2x+1)-9$

Rewrite as perfect squares

$f(x)=4(x+1)^{2}-9$ ----> equation in vertex form

The vertex is the point (-1,-9)

Part C: What are the steps you would use to graph f(x)?

To graph f(x)

I need

1) The direction of the graph (Is a vertical parabola open upward)

2) The coordinates of the vertex (-1,-9) ( in this case is a minimum)

3) The x-intercepts (-2.5,0) and (0.5,0)

4) The y-intercept

The y-intercept is the value of f(x) when the value of x is equal to zero

For x=0

$f(0)=4(0)^{2}+8(0)-5\\f(0)=-5$

The y-intercept is the point (0,-5)

Plot the points and draw the parabola

see the attached figure to better understand the problem

8 0

4 years ago

Find the measures of supplementary angles 1 and 2, if: m∠1:m∠2=5:4 using statements and reasons.

adell [148]

Answer:

Step-by-step explanation:

We know: Supplementary angles add up to 180°.

Therefore

m∠1 + m∠2 = 180° → m∠2 = 180° - m∠1 (*)

We have

$m\angle1:m\angle2=5:4\to\dfrac{m\angle1}{m\angle2}=\dfrac{5}{4}$

Substitute (*):

$\dfrac{m\angle1}{180^o-m\angle1}=\dfrac{5}{4}$ <em>cross multiply</em>

$4m\angle1=5(180^o-m\angle1)$ <em>use the distributive property</em>

$4m\angle1=(5)(180^o)+(5)(-m\angle1)$

$4m\angle1=900^o-5m\angle1$ <em>add 5m∠1 to both sides</em>

$9m\angle1=900^o$ <em>divide both sides by 9</em>

$m\angle1=100^o\to m\angle2=180^o-100^o=80^o$

3 0

3 years ago

How do u figure out complex fractions and unit rates

dezoksy [38]

Well a fraction is set up as a unit rate or a ratio along with the unit rate it is a ratio

5 0

3 years ago

Which of the following is an equations of the line passing through the points (-1,4) and (1,2)

maxonik [38]

Answer:

y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)

Step-by-step explanation:

You need to do slope-intercept formula and the slope formula.

The Slope-Intercept Formula: y=mx+b

The Slope Formula: y2 - y1 / x2-x1

Your coordinates:

(-1,4) and (1,2)

2 - 4/1- (-1)

-2/2

Simplified is -1

Your "m" in the slope-intercept formula is -1

Formula: y=-1x + b

Now, you need to find the Y-Intercept which is the "b"

Using our slope-intercept formula, you need to plug in "x1" and "y1"

4 = -1(-1) + b

4 = 1 +b

4-1 = b

3 = b

So your equation is:

y = -1x + 3 or y = -x + 3

6 0

2 years ago