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2 years ago

What is the highest common factor of 50 and 90?

Mathematics

2 answers:

Travka [436]2 years ago

7 0

The hcf of 50 and 90 is 10

algol [13]2 years ago

5 0

Answer: The gcf is 10

Step-by-step explanation:

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Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest

Murrr4er [49]

1. x
2. x + 2
3. x + 4

x + 4 + 2x = 25. Second option is the answer.

Combine like terms
3x + 4 = 25
Subtract 4 from both sides
3x = 21
Divide both sides by 3
x = 7

5 0

3 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

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2 years ago

A function f (x)=-8x^2. What is f (-3)?

Sveta_85 [38]

F(x)= -8x²

f(-3)= -8* (-3)²

f(-3)= -8 * 9

f(-3)= -72

8 0

3 years ago

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Rewrite the expression with parentheses to equal the given value 3 x 4 - 1 + 2

sergejj [24]

Answer:

the difference of the product of 3x and 4 and of the sum of -1 and 2

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3 years ago

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I've been struggling a bit with Composite Figures. This is 2 ones I've really struggled with though so, could I have some help?

Natali5045456 [20]

You are right with : Which shapes could a pentagon be decomposed into to find its area? Chose all that apply.
C. five triangles
D. one triangle and one trapezoid
And #2: Is (A) and (C)

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3 years ago