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3 years ago

Please help me with this! Show work if possible

Mathematics

1 answer:

photoshop1234 [79]3 years ago

6 0

Answer:

True

Step-by-step explanation:

Suppose you have a quadratic function

$ax ^ 2 + bx + c = 0$

Factoring this expression results in:

$ax ^ 2 + bx + c = (x-h) (x-k) = 0$

Where h and k are real numbers.

Then the function is equal to 0 when $x = h$ and when $k = 0$ .

Therefore h and k will always be the solutions when we have the quadratic function factored in the form

$(x-h)(x-k) = 0$

Since we have ensured that the factors of the function contain only real numbers, then h and k are real numbers, and x and y must also be real numbers. Therefore solutions to an equation in this form will always be real solutions.

The statement is true

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4.1 & 4.2 Review<br> 1. Write an equation of the line with a slope of and a y-intercept of -8.

inessss [21]

Hey I would love to help you out with this, but I have a question. what is the slopes number? It wasn’t put in. Once you tell me I will be happy to help you out.

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2 years ago

Given line BD is congruent to BC, find the measure of angle B

Degger [83]

If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°

5 0

3 years ago

Consider the formula for the slope between two coordinates

krek1111 [17]

The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.

<h3>What is slope?</h3>

The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").

<h3>What is equation?</h3>

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.

Given that,

Take a look at the formula below for the slope between two coordinate locations, m.

m = $\frac{y_{2}- y_{1} }{x_{2}-x_{1} }$

Here, slope is

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.

The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.

so you must add y₁ to both sides in order to get y₂ alone.

m(x₂-x₁) +y₁ = y₂.

Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.

To know more about the slope, visit:

brainly.com/question/16508963

#SPJ9

5 0

9 months ago

I need help please????

Feliz [49]

Answer:

x = - 1

Step-by-step explanation:

Given

3x + 2 = y and y = - 1

Substitute y = - 1 into the equation and solve for x, that is

3x + 2 = - 1 ( subtract 2 from both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

This is verified by the point on the graph with coordinates (- 1, - 1)

8 0

2 years ago

Read 2 more answers

Solve the initial value problem where y′′+4y′−21 y=0, y(1)=1, y′(1)=0 . Use t as the independent variable.

igor_vitrenko [27]

Answer:

$y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}$

Step-by-step explanation:

y′′ + 4y′ − 21y = 0

The auxiliary equation is given by

m² + 4m - 21 = 0

We solve this using the quadratic formula. So

$m = \frac{-4 +/- \sqrt{4^{2} - 4 X 1 X (-21))} }{2 X 1}\\ = \frac{-4 +/- \sqrt{16 + 84} }{2}\\= \frac{-4 +/- \sqrt{100} }{2}\\= \frac{-4 +/- 10 }{2}\\= -2 +/- 5\\= -2 + 5 or -2 -5\\= 3 or -7$