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Flauer [41]
3 years ago
5

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

h?
Mathematics
2 answers:
svetlana [45]3 years ago
7 0
The vertex is (-2, -9)
Lisa [10]3 years ago
7 0

Answer:

The coordinates of the vertex of parabola are (-2,-9).

Step-by-step explanation:

The given function is

f(x)=x^2+4x-5

The vertex of a parabola lies on its axis of symmetry. Since the axis of symmetry is x=-2, tt means the x-coordinate of vertex is -2.

Let the vertex of parabola is (-2,y).

Substitute x=-2 in the given function to find the y-coordinate of vertex.

f(-2)=(-2)^2+4(-2)-5

y=4-8-5

y=-9

Therefore the coordinates of the vertex of parabola are (-2,-9).

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Write the equation of the line in slope-intercept form using y=mx+b​
victus00 [196]

The slope is given as m = 7m=7 and the yy-intercept as b = - \,4b=−4. Substituting into the slope-intercept formula y = mx + by=mx+b, we have

since m=7 and b=-4, we can substitute that into the slope-intercept form of a line to get y=mx+b → y=7x-4

The slope is positive thus the line is increasing or rising from left to right, but passing through the yy-axis at point \left( {0, - \,4} \right)(0,−4).

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0
3 years ago
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-16)^{\circ}∠A=(2x−16) ∘ and m\angle B=(5x+28)^{\circ}∠B=(5x+28) ∘ ,
Otrada [13]

Answer:

The measure of angle A is 32

Step-by-step explanation:

A+B=180

2x-16+5x+28=180

7x+12=180

7x=168

x=24

A=2(24)-16

A=48-16

A=32

6 0
3 years ago
Molly must drive across a bridge over a river eight times each week. Because the bridge is narrow and traffic is congested, Moll
oee [108]

Based on Molly's willingness to pay for the 8th trip, and the number of trips she can make over the bridge, her willingness to pay for the bridge repair would be<u> $1.00.</u>

<h3>What is Molly's willingness to pay for taxes to fix the bridge?</h3><h3 />

Molly's willingness to pay for trips is equal to the total consumer surplus she gets.

This means that her consumer surplus is $0.50.

With the bridge fixed, she can make 2 more trips than before because she can make 10 trips.

Her willingnesss to pay for the taxes will therefore be equal to her willingness to pay for the remaining trips:

= 0.50 x 2

= $1.00

Find out more on willingness to pay at brainly.com/question/8449170.

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8 0
2 years ago
What is j divided by 9 is 5
kobusy [5.1K]
J/9=5
Multiply both sides by 9
Which gets you
j = 45
8 0
3 years ago
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