The slope-intercept form is defined as: m for slope and b for y-intercept, which corresponds to the point (0, b). For the points (4, 3) and (0, 1), we find b = 1. Now let's calculate the slope.
Answer:
Step-by-step explanation:
First, we apply the Pythagorean theorem to determine the distance from Manuel’s home to the resort.
S1 = √50²+20²
S1 = √2500+400
S1 = √2900
S1 = 53.85m
Next, we find the distance from Manuel's home to his friend’s residence.
S2 = √15²+10²
S2 = √225+100
S2 = √325
S2 = 18.03m
The distance between the two boys and the resort will be represented as ∆S = S2 - S1.
∆S = 53.84 - 18.03
∆S = 35.81m
Answer:
∠ R 
90°
Explicación paso a paso:
Dado que en el triángulo RST
Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.
En un triángulo, la suma de los tres ángulos es 180°
Por lo tanto, si un ángulo mide 90°, la suma de los otros dos debe ser igual a 90°
Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.
Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.
De lo anterior, se concluye que
Para,
∵ ∠ R = 120°, por lo tanto es mayor que 90°.
Es decir, ∠ R 90°
Respuesta
The set of rental car rates making it more economical for Jamal than employing taxi services is outlined as A = {x | 0 ≤ x < 26} [where x represents dollars]. The step-by-step breakdown is as follows: Let the rental cost be $x per day. With Jamal's trip extending over 4 days, factoring in $24 for gas, and estimating taxi costs at around $128, an inequality emerges: 128 > 24 + 4x. Thus simplifying leads to 4x < 104 and consequently x < 26.
Define x as the distance in miles. This scenario can be expressed with the inequality 0.5x + 3 < 10, where x corresponds to the miles traveled. To solve this, begin by subtracting 3 from each side, followed by dividing everything by 0.5. The outcome indicates x < 14, meaning Carl can cover less than 14 miles, though he is 15 miles away from his destination; therefore, he will opt for a bus instead.
