3 years ago

Y equals negative X squared +10 X -26

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

Answer:

Step-by-step explanation:

y=(x+5)2−1

Use the vertex form,

y=a(x−h)2+k, to determine the values of a, h, and .a=1h=−5k=−1Find the vertex(h,k(−5,−1)

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Find the measure of Q, the smallest angle in the triangle whose sides have lengths 4-5, and 6. Round the measure to the nearest

kakasveta [241]

<u>Given</u>:

Given that PQR is a triangle.

The measures of the sides of the triangle are 4,5 and 6.

We need to determine the measure of ∠Q.

<u>Measure of ∠Q:</u>

The measure of ∠Q can be determined using the law of cosines formula.

Thus, we have;

$\cos (Q)=\frac{p^{2}+r^{2}-q^{2}}{2 p r}$

Substituting p = 6, q = 4, r = 5, we get;

$\cos (Q)=\frac{6^{2}+5^{2}-4^{2}}{2 (6)(5)}$

Simplifying, we get;

$\cos (Q)=\frac{36+25-16}{2 (30)}$

$\cos (Q)=\frac{45}{60}$

Dividing, we get;

$\cos (Q)=0.75$

$Q=cos^{-1}(0.75)$

$Q=41^{\circ}$

Thus, the measure of ∠Q is 41°

Hence, Option b is the correct answer.

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2 years ago

Do the ratios 4/16 and 1/2 form a proportion?

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Answer:

Step-by-step explanation:

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1 year ago

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A runner can travel 100 meters in 20 seconds. At that rate, how far does the runner go in 1 minute?

dimaraw [331]

Answer:

he can run 5 meters in 1 min

Step-by-step explanation:

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2 years ago

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3 years ago

in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y

vlada-n [284]

I added a screenshot with the complete question

Answer:
x = 3
y = 9

Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3

2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9

Hope this helps :)

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2 years ago