pls help! how would I solve this problem ?The figures shown are similar. Find the lengths of x, y, and z.

Mathematics

1 answer:

Fynjy0 [20]2 years ago

3 0

When looking at it, you can see that the location of the 9 and 12 are the same. So, you can solve by first finding the difference in the two. Turns out 12 is 4/3 times bigger than 9. So, divide each of your sides to figure out what each side is.
X = 17.25
Y = 18
Z = 17.25

Hope this helps :)

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3 years ago

Which expression is equivalent to n2 + 26n + 88 for all values of n?

Y_Kistochka [10]

Answer:

(n + 4)(n+ 22)

Step-by-step explanation:

One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.

Step #1: Multiply the first terms

(n + 4)(n + 22) ----> n x n = n²

Step #2: Multiply the inside terms

(n + 4)(n + 22) -----> 4 x n = 4n

Step #3: Multiply the outside terms

(n + 4)(n + 22) -----> n x 22 = 22n

Step #4: Multiply the last terms

(n + 4)(n + 22) -----> 4 x 22 = 88

Step #5: Write the new expanded equation and simplify

(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88

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3 years ago

80 POINTS for right answer! 4 questions! Math only

34kurt

1.
A graph of linear function is a straight line.
Linear function in a slope-intercept form: y = mx + b

Answer: Equation 3: y = 12x + 17.

2.
x|-1 | 0 | 1 | ? |
y| 4 | 7 |10| ? |

a slope: $m=\dfrac{y_2-y_1}{x_2-x_1}$

We choose:
$(-1; 4)\to x_1=-1\ and\ y_1=4\\(0;\ 7)\to x_2=0\ and\ y_2=7$

subtitute:

$m=\dfrac{7-4}{0-(-1)}=\dfrac{3}{1}=3$

a slope-intercept form: $y-y_1=m(x-x_1)$

subtitute:

$y-4=3(x-(-1))\\\\y-4=3(x+1)\\\\y-4=3x+3\ \ \ \ |add\ 4\ to\ both\ sides\\\\y=3x+7\ (*)$

subtitute x = 2 to the equation (*):

$y=3\cdot2+7=6+7=13$

Answer: (2, 13)

3.
(-2; 7), (-5; 4)

the slope: $m=\dfrac{4-7}{-5-(-2)}=\dfrac{-3}{-5+2}=\dfrac{-3}{-3}=1$

$y-7=1(x-(-2))\to y-7=x+2\ \ \ \ |add\ 7\ to\ both\ sides\\y=x+9$

check other:

$(-8;\ 1)\to L=1;\ R=-8+9=1;\ L=R-correct\\(-11;-2)\to L=-2;\ R=-11+9=-2;\ L=R-correct$

The conclusion: It's a linear function

Answer: It is a linear function because there is a constant rate of change in both the input and output values.

4.
y = 3x + 5 /look at the picture/

Answer: It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.

check:
$(0; 5)\to L=5; R=3\cdot0+5=5;\ L=R-correct\\(1;\ 8)\to L=8;\ R=3\cdot1+5=8;\ L=R-correct\\(2;\ 11)\to L=11;\ R=3\cdot2+5=11;\ L=R-correct$