ruigE
2021-02-09
Answered

Suppose that the combined area of two squares is 360 square feet. Each side of the larger square is three times as long as a side of the smaller square. How big is each square?

You can still ask an expert for help

asked 2022-03-21

Let $f\left(x\right)={x}^{2}+ax+c$ where a,c are real numbers. Prove that there exist quadratic polynomials p(x) and q(x) (with real coefficients) having all roots real such that $f\left(x\right)=d\frac{1}{2}[p\left(x\right)+q\left(x\right)].$

asked 2022-04-02

Sum of the first n quadratic integers

To prove that

$S=\sum _{k=1}^{n}{k}^{2}=\frac{n(2n+1)(n+1)}{6}$

To prove that

asked 2022-02-01

An inequality constraint problem

$min\frac{1}{2}{({x}_{1}-1)}^{2}+\frac{1}{2}{({x}_{2}-2)}^{2}$

s.t.${x}_{1}-{x}_{2}=1\text{and}\text{}{x}_{1}+{x}_{2}\le 2$

s.t.

asked 2021-11-30

Write the equation of a quadratic function with the given zeros. 2 and -6

asked 2022-01-22

How do you find x-intercepts, axis of symmetry, maximum or minimum point, and y-intercept for the equation

$y=\frac{1}{2}{(x-8)}^{2}+2$ ?

asked 2021-12-02

Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.

Use the graphing tol to graph te function as a si curve andthe axis of symmetry as a dashed line.

Click to enlarge graph

The vertex is

(Type an ordered pair.)

The axis of symmetry is

(Type an equation.)

asked 2022-01-21

If a quadratic is reflected on the y axis, why does $b=0?$

If a quadratic in the form$y=a{x}^{2}+bx+c$ is reflected on the y axis, why then must b=0, making the equation in the form of $y=a{x}^{2}+c$ ?

If a quadratic in the form