Graph the image of the given triangle under a dilation with a scale factor of and center of dilation (0, 0)

Solve x^2-7x+12=0 by using the quadratic formula

Katarina [22]

The answer is : x=4, 3

4 0

4 years ago

Two circles in the coordinate plane with congruent radii intersect in exactly two points. Why is it not possible for these circl

GrogVix [38]

Answer:

Two arcs are congruent if and only if their associated chords are congruent.

Step-by-step explanation:

The associated radii of arcs are the radii of the circles the arcs are in. However, you can have two arcs in one circle that are not congruent. The circle would not have two different radii, but the arcs would not necessarily be congruent.

5 0

4 years ago

Read 2 more answers

Mr. Lewis sees a red light ahead and applies the brakes on his car. The car travels 300.5 feet before coming to a stop. For each

LiRa [457]

Thank you for posting your question here at brainly. Based on the situation above the total change in the car's speed during that time should be 1502.5 per hour. I hope the answer will help you. Feel free to ask if you have other questions.

5 0

3 years ago

Read 2 more answers

ANSWER PLEASE A rectangle's length and width are in a ratio of 9:1. The perimeter is 100 inches. What are the length and width?

iren [92.7K]

The length of rectangle is 45 inches and width is 5 inches.

Step-by-step explanation:

Given,

Perimeter = 100 inches

The ratio of length and width = 9:1

It means that 9 times of any number and 1 times of any number will be the original length, therefore,

Let,

x be the that number.

Length = 9x

Width = 1x

Perimeter = 2(Length+width)

$100=2(9x+x)\\100=2(10x)\\100=20x\\20x=100$

Dividing both sides by 20

$\frac{20x}{20}=\frac{100}{20}\\x=5$

Length = 9x = 9*5 = 45 inches

Width = x = 5 inches

The length of rectangle is 45 inches and width is 5 inches.

Keywords: rectangle, perimeter

Learn more about perimeters at:

#LearnwithBrainly

5 0

4 years ago

A researcher was interested in seeing how many names a class of 38 students could remember after playing a name game After playi

Andreas93 [3]

Answer:

Proportion of the students recalled more than 15 names is 91.77%.

Step-by-step explanation:

We are given that a researcher was interested in seeing how many names a class of 38 students could remember after playing a name game After playing the name game, the students were asked to recall as many first names of fellow students as possible.

The mean number of names recalled was 19.41 with a standard deviation of 3.17.

Let X = number of names recalled

SO, X ~ N( $\mu = 19.41,\sigma^{2} = 3.17^{2}$ )

The z-score probability distribution is given by ;

Z = $\frac{X-\mu}{\sigma} } }$ ~ N(0,1)

where, $\mu$ = mean number of names recalled = 19.41

$\sigma$ = standard deviation = 3.17

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, proportion of the students recalled more than 15 names is given by = P(X > 15 names)

P(X > 15) = P( $\frac{X-\mu}{{\sigma} } }$ > $\frac{15-19.41}{3.17} }$ ) = P(Z > -1.39)

= P(Z < 1.39) = 0.9177 {using z table}

Therefore, proportion of the students recalled more than 15 names is 91.77%.

4 0

3 years ago