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3 years ago

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Given the points A(-l , 2) an d B(7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in

the ratio 1:3

1 answer:

Aleksandr-060686 [28]3 years ago

8 0

Answer:

ethiopia

Step-by-step explanation:ethiopia ethiopia ethipoia

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Find the x-intercepts of the parabola with vertex (5,-4) and y-intercept (0,96). Write your answer in this form: (x1,y1),(x2,y2)

lesya692 [45]

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

$(y-k)=a(x-h)^{2}$

we have

the vertex is the point (5,-4)

substitute

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

The y-intercept is the point (0,96)

substitute and solve for a

$(96+4)=a(0-5)^{2}$

$100=a(25)$

$a=100/25=4$

The equation of the vertical parabola is equal to

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

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

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

Simplify

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

Rewrite

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

square root both sides

$(x-5)=(+/-)1$

$x=(+/-)1+5$

$x=(+)1+5=6$

$x=(-)1+5=4$

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

4 0

3 years ago

Three times the square of a certain positive number exceeds six times the number by nine. find the number:

d1i1m1o1n [39]

With the number being x, we have 3x^2>6(x/9). Expanding, we get 3x^2>6x/9 and 3x^2>2x/3. Dividing by x, we get 3x>2/3 and dividing by 3 we get x>2/9

4 0

3 years ago

Six times a number is at least -24

lbvjy [14]

Answer: -4

Step-by-step explanation: any positive number times a negative number is negative. 6x(-4) is -24.

4 0

3 years ago

Read 2 more answers

Given right triangle MNL what is the value of cos(M)?

FromTheMoon [43]

Step $1$

<u>Find the length of the side MN</u>

we know that

Applying the Pythagorean Theorem

$ML^{2} =NL^{2} +MN^{2}$

Solve for MN

$MN^{2}=ML^{2} -NL^{2}$

in this problem

$ML=25\ units\\ NL=15\ units$

Substitute in the formula above

$MN^{2}=25^{2} -15^{2}$

$MN^{2}=400$

$MN=20\ units$

Step $2$

<u>Find the value of cos (M)</u>

we know that

in the right triangle MNL

$cos (M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}$

$adjacent\ side\ angle\ M=MN=20\ units\\ hypotenuse=ML=25\ units$

Substitute

$cos (M)=\frac{20}{25}$

$cos (M)=\frac{4}{5}$

$cos (M)=0.8$

therefore

The answer is

The value of cos(M) is equal to $0.8$

6 0

3 years ago

Please help me with his geometry question

Reil [10]

Is this <ABD?

if so, all lines tangent to a circle, its point of tangency is perpendicular to the center of the circle. So <ABD = 90 degrees

6 0

4 years ago