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Irina18 [472]
4 years ago
13

Finding the slope. Thanks in advance.

Mathematics
1 answer:
Natalka [10]4 years ago
4 0
The answer is -0.35 my work is in the picture added
Hope this helps

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Awnser this please (source: eureka math) ​
nata0808 [166]

Answer:

a. 4x = x × 4 while x⁴ = x × x × x × x

b. when x = 2, 4x = 8 and x⁴ = 16

Explanation:

i calculated the answers for b based on the equations in a by substituting 2 into x! hope this helps and you can comment if you need any clarification :D

3 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
Charles finished 7 laps around the track. This is 20% of the number of laps he has to do. How many laps must he do?
andrew-mc [135]
To solve this problem, you have to use a proportion:
7/20 = x/100

After setting up the proportion, you have to cross multiply:
20x=700

Now, solve the equation by dividing by 20 on both sides:

x=35

So Charles has 35 laps left.
3 0
4 years ago
Factor the polynomial completely using the
kiruha [24]
I think the answer is 02 + 8x +8x + 48
5 0
4 years ago
Read 2 more answers
Which figure has a greater volume, and how much greater is it? 2 figures. One figure has a rectangular prism with length of 36 f
NikAS [45]

Answer:c

Step-by-step im a prodigy

5 0
3 years ago
Read 2 more answers
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