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erastova [34]
3 years ago
8

Which of the following is the sum of both solutions of the equation

id="TexFormula1" title="x^{2} +x-42=0" alt="x^{2} +x-42=0" align="absmiddle" class="latex-formula">?
A) 13 B) 1 C) -13 D) -1
Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer: x=6 or x=-7

Step-by-step explanation:

Step 1: Factor left side of equation: (x-6)(x+7)=0

Step 2: Set factors equal to 0: x-6=0 or x+7=0

Get your answer: x=6 or x=-7

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Question on picture. Please help
Elden [556K]
A rhombus is quadrilateral where all 4 sides are of equal length. Thus


5x + 2 = 2x + 12

3x = 10

x = 10/3

substituting x into either expression, yields

56/3

therefore side AB = 56/3


3 0
3 years ago
Louie is trying to find a rectangular canvas for his art project. Its height
Maru [420]

The length of the diagonal of the canvas is approximately 27 degrees.

The height of the rectangular canvas must reach 18 inches. It must form a 48 degrees angle with the diagonal at the top of the canvas.

<h3>Length of the diagonal Canvas</h3>

Therefore, the length of the diagonal can be found as follows:

Using trigonometric ratio,

  • cos ∅ = adjacent / hypotenuse

where

∅ = 48°

adjacent side = Height of the rectangle = 18 inches

hypotenuse = Length of the diagonal

Therefore,

cos 48° = 18 / h

cross multiply

h = 18 / cos 48°

h = 18 / 0.66913060635

h = 26.9005778976

length of the diagonal ≈ 27 inches

learn more on rectangle here: brainly.com/question/26099609?referrer=searchResults

8 0
3 years ago
How many 6 ounce cups can be filled from 4 gallons of juice
Lera25 [3.4K]
6x4 is the anwser because since there are 6 ounces so you got to multiply 6x4 which is 24
3 0
3 years ago
What is the degree of the polynomial c^4+7c^2
Ipatiy [6.2K]
It is a polynomial, and the degree is quartic

hope this helps
5 0
3 years ago
Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras
Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}

Podemos entonces despejar x de la siguiente manera:

h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07

6 0
4 years ago
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