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2 years ago

What is the closest point on the line y = 2x - 5 to (4, 8)?

Mathematics

1 answer:

Gekata [30.6K]2 years ago

7 0

Answer: I think it is (6.5, 8).

Step-by-step explanation:

I don't know if you had any choices, but I graphed it on Desmos and that was the closest point. I hope this helps!! :)

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Devon has $5,768 in his savings account, which is $2,709 more than Serena has in her savings account. How much money does Serena

Shtirlitz [24]

I got 8,477 . I hope it’s right

5 0

2 years ago

f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,

Olin [163]

Answer:

The graph has only one x-intercept

Step-by-step explanation:

we have

$f(x)=-4x^2+12x-9$

we know that

The discriminant of a quadratic equation of the form

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

is equal to

$D=b^{2}-4ac$

in this problem we have

$f(x)=-4x^2+12x-9$

$a=-4\\b=12\\c=-9$

substitute

$D=12^{2}-4(-4)(-9)$

$D=144-144$

$D=0$

The discriminant is zero

That means ----> The quadratic equation has one real solution

The graph has only one x-intercept

3 0

3 years ago

Find the perimeter of the polygon. Round your answer to the nearest tenth.

lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

$PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units$