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2 years ago

Triangle A B C. Side A B is 4, B C is 5, A C is 3. Triangle A prime B prime C prime.

Mathematics

1 answer:

madam [21]2 years ago

8 0

Answer:

The correct answer is 15.

Step-by-step explanation:

We are given that the original sides BC is 5. To find the length of B'C' we take the side of BC and multiply it by the scale factor.

5 (original BC) x 5 (the given scale factor) = 15

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Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)

Lady bird [3.3K]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -2x +10$

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula $y = mx + b$ . Isolate y:

$2x + y = 3\\y = -2x + 3$

The number in place of $m$ , or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.

2) Now, remember that the slope-intercept form is represented by the formula $y = mx + b$ . In order to write an equation of a line using that formula, we need to substitute values for $m$ and $b$ . We know $m$ is the slope, so we already know what that equals. Now, we just need to find $b$ .

To do that, substitute -2 for $m$ in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate $b$ and find its values:

$y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b$

So, $b$ = 10.

3) Substitute values for $b$ and $m$ into the slope-intercept formula to write the slope-intercept form of the line:

$y = -2x +10$

6 0

3 years ago

URGENT HELP PLEASE!

KonstantinChe [14]

Answer:

Perpendicular lines (c)

3 0

3 years ago

Osceres

Igoryamba

Answer:

∠B = 12°

∠C = 180 - 48° = 132° ( straight line angle = 180)

Sum of angles of a triangle = 180°

180 = ∠A + ∠B + ∠C

180 = ∠A + 12 + 132

180 - 144 = ∠A

∠A = 36°

option B

6 0

4 years ago

Need help with two math questions:

Alecsey [184]

Answers: 1:B, 2:450

How-To:

Using the formula for area on the bottom of the can, (pi*r^2) you can then multiply by the amount of height missing, which is 4.

Since it was originally 10, you subtract 4 in order to get 6.

That's how to get 4.

Now, plug in pi*r^2 into a calculator (or if you must work it out, radius, r, is 10, so 10*10 is 100. 100*3.14159265 is 314.159265

Now multiply 314 by the height missing (4) to get approximately 1257.

Now for number 2.
It says it is dilated by a scale factor of 1:3 (from 1350). That means that it was made smaller, (that's what dilated means) by 3 for every 1. So take 1350 and divide it by 3 to get 450

3 0

3 years ago

Read 2 more answers

Cuál opción incluye las tres expresiones algebraicas que representan correctamente el area total de la figura

Nostrana [21]

Para un rectangulo de lado L y ancho W, el area está dada por:

A = L*W

Veremos que la opción correcta es B: 1, 2 y 4.

En la imagen podemos ver que el largo del rectangulo es 2*y

Y el ancho del rectangulo es 2*x

Entonces, el area será:

A = (2*y)*(2*x)

Podemos ver que esto es la expresión 2, por lo que ya sabemos que esa es correcta.

Para encontrar las otras correctas, solo reescribimos lo que tenemos arriba:

A = 2*y*2*x = 2*(2*x*y) = 2*x*y + 2*x*y

Esto es lo que tenemos en la expresión 4.

A su vez, podemos separar uno de esos terminos como:

A = 2*x*y + 2*x*y = (x*y + x*y) + 2*x*y = x*y + x*y + 2*x*y

Esto es lo que tenemos en la expresión 1.

finalmente podemos ver que la opción correcta es B: 1, 2 y 4.

Si quieres aprender más, puedes leer:

brainly.com/question/24603998

3 0

3 years ago