Use the zeros of the following quadratic to find the x-value of the vertex.

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

3 years ago

The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for au

emmasim [6.3K]

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

5 0

3 years ago

Simplify C^5 x c<br> Plz can someone figure it out cuz I don’t get it

Fofino [41]

Answer:

c^6

Step-by-step explanation:

So, c is the same as c^ 1 ... therefore

c^5 x c

= c^5 x c^1

When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1

So c^5 x c^1

= c^(5+1)

= c^6

This is the simplest form

5 0

4 years ago

Read 2 more answers

All of the points in the picture are on the same line.Find the values for "a" and "b". Explain your reasoning.

kondor19780726 [428]

Answer:

I don’t know

Step-by-step explanation:

Go ask your teacher please help me

With this What is a linear function in the form y= mx + b for the line passing through (4.5, -4.25) with y-intercept 2.5?

3 0

3 years ago

Read 2 more answers

Investigate how demand elasticities are affected by increases in demand. Apply the midpoint formula to calculate the demand elas

inn [45]

It should be noted that a good that has a high demand elasticity for an economic variable implies that consumer demand for that good is more responsive to changes in the variable.

<h3>How to explain the demand?</h3>

It should be noted that an elastic demand is one werr the change in quantity demanded due to a change in price is large.

Also, an inelastic demand is one in which the change in quantity demanded due to a change in price is small. When the formula creates an absolute value greater than 1, the demand is elastic.

Here, a good that has a high demand elasticity for an economic variable implies that consumer demand for that good is more responsive to changes in the variable.

Learn more about demand on:

brainly.com/question/1245771

#SPJ1

6 0

1 year ago