What is the slope-intercept form of this equation?

What is the value of x?

scoray [572]

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

$\frac{MA}{MN}$ = $\frac{MB}{MP}$ , substitute values

$\frac{80.5-35}{80.5}$ = $\frac{x}{96.6}$

$\frac{45.5}{80.5}$ = $\frac{x}{96.6}$ ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

8 0

3 years ago

Read 2 more answers

Match the vocabulary word with its definition.

Alexxx [7]

1. Intersection
2. complement
3. Union
4. finite set
5. disjoint sets
6. proper subset
7. subset

7 0

3 years ago

Please helppp with this math question <333

Naya [18.7K]

Answer:

The average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

We need to find average rate of change.

The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

We have b=-1 and a=-11

Finding g(b) = g(-1)

$g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9$

Finding g(a) = g(-11)

$g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29$

Finding average rate of change

$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$

So, the average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

5 0

3 years ago

A jacket originally cost $30.75. It went on sale for 20% off the original price. What was the sale price of the jacket?

gladu [14]

We have to calculate the 20% of $30.75
The 20% of $30.75=(20/100)*$30.75=(20*$30.75)/100=$6.15

The sale price of the jacket was $6.15.

6 0

3 years ago

The _____ _____, denoted ModifyingAbove p with caretp, is given by the formula ModifyingAbove p with caretpequals=_____, wher

Vlada [557]

Answer:

The sample proportion, denoted by ^p, is given by the formula ^p= $\frac{x}{n}$ , where x is the number of individuals with a specified characteristic in a sample of n individuals.

Step-by-step explanation:

Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.

sample mean can be stated as p and sample standard error can be found using the equation $\sqrt{\frac{p*(1-p)}{n} }$ where

n is the sample size

p is the sample proportion

And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.

3 0

3 years ago